Physics Final
4. A 1000µF capacitor is used in a power supply. If the potential difference across the capacitor is 9V how much charge is stored in it? (a) 9x10-3C (b) 9000C (c) 9x10-2C (d) 9C
Final past tests
5. A 0.5m2 plastic sheet is placed in a uniform electric field 8N/C. The sheet is perpendicular to the field. Find the electric flux through the sheet. (a) 2 (N.m2 )/C (b) 4 (N.m2 )/C (c) 6 (N.m2 )/C (d) 8 (N.m2 )/C
Final past tests
6. An AC source delivers an RMS current of 2A to a circuit. If the resistance of the circuit is 80Ω find the average power used by the circuit. (a) 120W (b) 160W (c) 240W (d) 320W
Final past tests
7. Find the equivalent resistance between A and B. (a) 9.75Ω (b) 26.0Ω (c) 13.75Ω (d) 16.75Ω
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8. A long straight wire carries a current of 4A. What is the magnetic filed due to the current, at a distance of 2m from the wire? (a) 6x10-7T (b) 12x10-7T (c) 9x10-7T (d) 4x10-7T
Final past tests
9. Seven capacitors are connected as shown on the following diagram. The capacitance of each capacitor is 15µF. Find the equivalent capacitance between the two ends. (a) 15µF (b) 57µF (c) 105µF (d) 4µF
Final past tests
A conducting loop of radius 0.1m is placed in a magnetic field as shown in the above diagram.The magnitude of the magnetic field is 0.5T and directed into the page. 2.(a) What is the magnetic flux through the loop? 0.008Tm2 0.016Tm2 (correct) 0.032Tm2 0.024Tm2
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Electrons in a particle accelerator are moving in a 10.5T magnetic field. The magnetic field is applied in the z-direction and the velocity of the electron 6×107m/s in the x-direction. Ignore the relativistic effects and answer the questions 1.(a) Find the magnetic force exerted on the electron 1.2×10−10N 1.0×10−10N (correct) 0.5×10−10N 2.2×10−10N
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5. Find the current in the following circuit when the frequency of the source voltage is very high. 2.2A 1.6A 0.8A 1.2A (correct)
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6. A step-down transformer consists of a 400-turn primary coil and a 20-turn secondary coil. What is the induced voltage in the secondary when the primary voltage is 120V? 3V 6V (correct) 9V 12V
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7. A series RLC circuit has a 100 Ohm resistor, 15mH inductor, and a 0.1 micro-Farad capacitor connected in series. When the circuit is connected to a 20V(r.m.s.), 1.0 kHz power source. Find the r.m.s. current in the circuit. 0.16A (correct) 0.28A 0.09A 0.37A
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8. When a 2A current in a coil is switched off in 2ms, it induces an e.m.f. of 10V. What is the self inductance of the coil? 0.1H 0.01H (correct) 0.001H 1.0H
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3) What is the strength (in V/m) of the electric field between two parallel conducting plates separated by 1.10 cm and having a potential difference (voltage) between them of 1.45 ✕ 104 V? 1.3e6 V/m
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1. Two metal plates A and B are held at potentials 200V and 0V respectively. A proton of charge +1.6x10- 19C and mass 1.7x10-27kg is released from plate A. What is the speed of the proton when it reaches plate B? (a) 3.76x105m/s (b) 1.94x105m/s (c) 1.10x105m/s (d) 1.36x105m/s
Final past tests
10. Find the current I in the following circuit. (V= 16V) (a) 16mA (b) 11mA (c) 34mA (d) 80mA
Final past tests
11. A DC motor has coil of area 0.05m2 . The coil has 200 turns. The coil is placed in a 0.1T magnetic field. What is the maximum torque exerted on the coil when the current is 4A? (a) 4Nm (b) 6Nm (c) 8Nm (d) 10Nm
Final past tests
12. An electron enters a magnetic field at a speed of 60m/s into a uniform magnetic field of 3T. The initial direction of the electron is perpendicular to the magnetic field. What is the magnetic force exerted on the electron? (a) 2.9x10-17N (b) 1.4x10-17N (c) 5.6x10-17N (d) 8.6x10-17N
Final past tests
13. The potential difference between the plates of a capacitor is maintained at 12V. The energy stored in the capacitor is found to be 6J. If the potential difference is increased to 16V how much energy will it store? (a) 6.0J (b) 8.0J (c) 10.6J (d) 12.4J
Final past tests
14. A charged particle enters a magnetic field as shown in the diagram. Is the particle positively or negatively charged? (a) positively (b) negatively (c) neutral
Final past tests
15. A conducting loop is placed in a uniform magnetic field. If the area of the loop is shrinking at a steady rate which of the followings would you expect to happen? (a) A current in the clockwise direction (b) A current in the counterclockwise direction (c) A force acting on the loop (d) None of the above
Final past tests
16. The peak voltage of a power supply is 32V. Find the r.m.s. voltage assuming a sinusoidal waveform. (a) 45.2V (b) 22.6V (c) 5.7V (d) 16.0V
Final past tests
17. The current in a 0.2H coil is changed from 2A to 0A is 0.1s. Find the induced emf in the coil. (a) 2V (b) 4V (c) 6V (d) 8V
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18. An ideal transformer has 800 turns in the primary coil. It's secondary coil has 200 turns. The primary is connected to a 120V household supply. What is the potential difference induced in the secondary? (a) 120V (b) 30V (c) 60V (d) 90V
Final past tests
19. The wavelength of the electromagnetic radiation emitted by an excited atom is found to be 580x10-9m. Find the frequency of the radiation. (a) 3.4x1014Hz (b) 1.7x1014Hz (c) 5.1x1014Hz (d) 6.8x1014Hz
Final past tests
2. A conducting sphere has a cavity inside. Two point charges -16µC and +12µC are placed in the cavity. What is the induced charge on the outer surface of the sphere at the equilibrium? (a) -4µC (b) -18µC (c) 4µC (d) 18µC
Final past tests
20. A light ray is incident on a air-water interface at a 300 angle with the normal. Find the angle of refraction. Refractive index of water is 1.3. (a) 27.20 (b) 22.60 (c) 37.30 (d) 19.20
Final past tests
21. An object is placed at a distance 12cm from a convex mirror of focal length 8cm. The image of the object is (a) real and upright (b) virtual and upright (c) real and inverted (d) virtual and inverted
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22. A simple magnifying glass uses a converging lens of focal distance 5cm. Find the magnification of an object placed at 3cm form the lens. (a) 1.5 (b) 7.5 (c) 2.5 (d) 0.6
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23. The speed of light in vacuum is is 3x108 m/s. Speed of light in diamond is 1.3x108 m/s. Find the refractive index of diamond. (a) 1.5 (b) 2.3 (c) 1.3 (d) 2.7
Final past tests
24. A ray of light strikes a plane mirror at a 300 angle of incidence. If the mirror is rotated by 80 by keeping the incident ray fixed, by how much will the reflected ray rotate? (a) 80 (b) 160 (c) 40 (d) 320
Final past tests
25. In a double slit experiment, yellow light of wave length 589nm is used to illuminate the two slits separated by 0.2mm. An interference pattern can be seen on a screen 24cm away. Find the angular position of the 5th order bright fringe. (a) 0.420 (b) 0.340 (c) 0.600 (d) 0.840
Final past tests
3. Two point charges -600µC and +900µC are placed 0.9m apart. What is the electrostatic force between the two charges? (a) 3000N (b) 6000N (c) 9000N (d) 12000N
Final past tests
2. Two metal plates A and B are held at potentials 200V and -100V respectively. A proton of charge +1.6x10-19C and mass 1.7x10-27kg is released from plate A. (a) Find the velocity of the proton when it reaches plate B. (b) Find the work done on the proton by the electric field. (c) If it were an electron released from plate B, what would be its speed when it reaches plate A? (mass of an electron is 9.1x10-31kg) (d) The plates are separated by 4cm. What the the electric field between the plates?
Test 1 past test
1. A -36µC point charge is placed at the origin as shown in the diagram. (a) Find the electric field at point P. due to the point charge (b) If a second point charge of charge +18µC is placed at P. What is the electric force exerted on the second point charge by the 1st point charge? (c) Find the net electric at (3m,0m) (due to both charges). (d) In the above diagram, show at least one point where the electric field is zero. (You do not need to do any calculations).
Test 1 past tests
3. A conducting sphere have a cavity inside. Two point charges -16µC and +12µC are placed in the cavity. What is the induced charge on the outer surface of the sphere at the equilibrium? (a) -4µC (b) -18µC (c) 4µC (d) 18µC
Test 1 past tests
4. A plastic plate of area 0.4m2 is placed in an electric field of 300N/C. The plate makes a 600 angle with the field. Find the total electric flux across the plate. (a) 60.0 (N.m2 )/C (b) 103.9 (N.m2 )/C (c) 120.0 (N.m2 )/C (d) 138.6 (N.m2 )/C
Test 1 past tests
5. A capacitor of capacitance 30µF is connected across a 16V battery. Find the charge stored in the capacitor. (a) 30 µC (b) 16 µC (c) 300 µC (d) 480 µC
Test 1 past tests
6. A capacitor of an area A and dielectric constant k has capacitance 1000µF. The plates of the capacitor are separated by 2mm. Then the capacitor is filled with a dielectric material with dielectric constant 20k and the plate separation was increased to 12mm. Find the new capacitance. (a) 6,000 µF (b) 167 µF (c) 20,000 µF (d) 3333 µF
Test 1 past tests
7. An oil drop of charge 4.8x10-19C and mass 2x10-10kg is suspended in the air using a uniform electric field. Find the electric field. (a) 3.2 x 109 N/C (b) 4.1 x 109 N/C (c) 4.8 x 109 N/C (d) 2.4 x 109 N/C
Test 1 past tests
1. Consider the following circuit to answer the questions. (a) Find the equivalent resistance of the circuit. (You may ignore the internal resistance of the battery). (b) Find the current I. (c) Find I1 and I2. (d) Find the total power delivered to the circuit.
Test 2 past tests
2. Answer both parts of the question. (I) A positron is observed traveling in a circular path of radius 3cm, in a particle detector. A 0.03T uniform magnetic field which is perpendicular to the motion of the particle, is maintained in the detector. (a) Find the speed of the positron (mass and the magnitude of the charge of the positron are the same as that of an electron) (b) What changes would you expect (in the radius of the track) if the particle were (i) an electron (ii) a proton (proton has the same charge but a larger mass) entered the detector with the same speed. (II) A DC motor can generate a 500Nm maximum torque when the current in the coil is 4A. The coil of the motor has an area 0.05m2 and placed in a 0.8T magnetic field. How many turns are there in the coil?
Test 2 past tests
3. A voltmeter with an internal resistance 10k is used to measure the potential drop across 800k resistor. When the voltmeter is connected as shown in the diagram, the reading is found to be 40V. Find V. (a) 50.0V (b) 50.8V (c) 10.0V (d) 30.2V
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4. The peak voltage of an AC signal of a power supply is 36V and it delivers a peak current of 4.8A to a circuit. What is the average power delivered to the circuit? (a)122.2W (b) 172.8W (c) 86.4W (d) 43.2W
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5. Find the equivalent capacitance between A and B. The capacitance of each capacitor is 18µF. (a) 18µF (b) 108µF (c) 27µF (d) 33µF
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6. Three particles A, B and C enter a magnetic field as shown in the following diagram. Their velocities VA, VB and VC are perpendicular to the field. The masses and magnitudes of the charges are the same. Rank the velocities of the particles from lowest to highest. (a) VA ,VB ,VC (b) Vc ,VA ,VB (c) VB ,VA ,VC (d) VC ,VB ,VA
Test 2 past tests
7. A circular coil of radius 12cm carries a DC current of 6A. The magnetic field at it's center is 1.2x10-3T. How many turns must be in the coil? (a) 38 (b) 382 (c) 764 (d) 96
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1.(b) What is the direction of the magnetic field? +x direction -x direction +y direction (correct) -y direction
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1.(c) Find the acceleration of the electron. 1.1×1020ms2 (correct) 2.3×1020ms2 3.2×1020ms2 1.8×1020ms2
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1.(d) What is the magnitude and direction of the force on a proton with the same velocity (Hint: the proton has a positive charge but it's magnitude is the same as that of an electron) . 2.3×10−10N, −y direction 2.3×10−10N, +y direction 1.0×10−10N, +y direction 1.0×10−10N, −y direction (correct)
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2.(b) The magnetic field is turned off in 0.1s. What is the induced e.m.f. in the loop? 0.008V 0.08V 0.16V 0.016V (correct)
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2.(c) If the resistance of the loop is 2 Ohms, what is the magnitude and direction of the induced current? 0.008A, clockwise direction (correct) 0.8A, counterclockwise direction 0.004A, clockwise direction 0.04A, counterclockwise direction
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2.(d) The induced current in the loop creates a magnetic field opposite to the applied magnetic field does not create a magnetic field creates a magnetic field in the same direction as the applied magnetic field (correct) none of the above
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3. A long straight wire caries a current of 80A. Find the magnetic field at 0.5m from the wire. 3.2×10−5T (correct) 1.6×10−5T 1.0×10−5T 2.7×10−5T
Test 2 taken
4. A conducting rod of length 1.5m is moving in a uniform magnetic field of 2T. The magnetic field is perpendicular to the plane of the rod. If the velocity of the rod is 6m/s, what is the induced e.m.f. between the two ends of the rod? 6V 12V 18V (correct) 24V
Test 2 taken
1. The resistance, capacitance and the inductance of a series RCL circuit is given by 600Ω, 0.2μF and 0.1H respectively. Answer the following questions. A signal generator provides the circuit with an rms voltage of 12V at a frequency of 1000Hz. (a) What is the total impedance of the circuit. (b) Find the current in the circuit. (c) Find the resonance frequency of the circuit.
Test 3 past tests
2. A distant galaxy emits light at a wavelength 434nm. An observer on earth measures the wavelength of this light and finds out it's 438nm. Answer the following questions. (a) Is the galaxy receding or approaching the earth? (b) Find the speed of the galaxy. (speed of light is 3x108m/s)
Test 3 past tests
3. An ideal transformer consists of a primary coil with 200 turns and a secondary coil with an unknown number of turns. When the primary is connected to a 120V AC, it induces an emf of 12V in the secondary. (a) How many turns are there in the secondary coil? (b) Find the current in the secondary when a 120Ω resistor is connected across the secondary. (c) Find the current in the primary.
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4. The circuit on the right hand side provided with an rms voltage 16V. What is the rms current in the circuit when the frequency is very high. (R = 20Ω , L = 0.1H, C= 2μF) (a) 0.8A (b) 0.4A (c) 1.6A (d) 3.2A
Test 3 past tests
5. The coil of a motor which is connected to a 120V outlet, has a resistance of 5Ω. When the motor operates at normal speed its coil develops a back emf of 110V. Find the current in the motor. (a) 1A (b) 2A (c) 3A (d) 4A
Test 3 past tests
6. The current in a 20μH solenoid is changed from 0.5A to 0A in 0.2s. Find the induced emf in the solenoid. (a) 10μV (b) 20μV (c) 40μV (d) 50μV
Test 3 past tests
7. The magnetic field inside the following loop is increasing at a steady rate. What would you expect in the conducting loop (see the diagram)? (a) A current in the clockwise direction (b) A current in the counterclockwise direction (c) A force acting on the loop (d) No effect on the loop
Test 3 past tests
8. A diode is a device, (a) that steps up or steps down voltages (b) that reverses the direction of current (c) that amplifies AC signals (d) that allows current in one direction
Test 3 past tests
1. An object is placed at a distance 12cm from a concave mirror of focal length 8cm. (a) Find the location of the image using the mirror equation. (b) What is the magnification of the image? (c) The object is 3cm tall. What is the height of the image? (d) Find the location of the image using ray tracing.
Test 4 past tests
2. An object is placed in front of a lens as shown in the following diagram. The object is at a distance 16cm from the lens (see the diagram). An image is formed at a distance 48cm from the lens. (a) Obtain the location of the image using the ray tracing method. (use the above diagram). (b) Find the focal distance using the mirror equation. (c) Find the magnification of the image. (d) You need to magnify the image by 5 times. Where would you place the object?
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3. The speed of light in vacuum is is 3x108 m/s. Speed of light in a medium is 1.8x108 m/s. Find the refractive index of the material. (a) 1.50 (b) 0.6 (c) 1.33 (d) 1.67
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4. A ray of light strikes a plane mirror at a 300 angle of incidence. If the mirror is rotated by 50 by keeping the incident ray fixed, by how much will the reflected ray rotate? (a) 100 (b) 200 (c) 50 (d) 150
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5. An object is placed between a concave mirror and its focal point (close to the mirror). The image of the object will be (a) real and inverted (b) virtual and inverted (c) real and upright (d) virtual and upright
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6. A small fish is swimming at a depth 12cm below the surface of a pond. The apparent depth of the fish as viewed from directly above the fish is 9.23cm. Find the refractive index of water. (a) 1.2 (b) 1.3 (c) 1.4 (d) 1.5
Test 4 past tests
7. A glass slab is immersed in oil. Find the critical angle for a light ray traveling from glass to oil. Refractive index of glass and oil are 1.5 and 1.4 respectively. (a) 320 (b) 690 (c) 450 (d) 350
Test 4 past tests
1) Common static electricity involves charges ranging from nanocoulombs to microcoulombs. (a) How many electrons are needed to form a charge of −1.50 nC? 9.4e+9 electrons (b) How many electrons must be removed from a neutral object to leave a net charge of 0.600 µC? 3.75e+12 electrons
Webassign A1
2) Two point charges exert a 8.50 N force on each other. What will the force (in N) become if the distance between them is increased by a factor of 9? .105 N
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3) A test charge of +3 µC is placed halfway between a charge of +6 µC and another of +8 µC separated by 18 cm. (a) What is the magnitude of the force (in N) on the test charge? 6.67 N (b) What is the direction of this force (away from or toward the +6 µC charge)? toward the +6 µC charge
Webassign A1
4) Three spiders are resting on the vertices of a triangular web. The sides of the triangular web have a length of a = 0.45 m, as depicted in the figure. Two of the spiders (S1 and S3) have +8.3 µC charge, while the other (S2) has −8.3 µC charge. (a) What are the magnitude and direction of the net force on the third spider (S3)? magnitude 3.06 Ndirection -90 ° counterclockwise from the +x-axis (b) Suppose the third spider (S3) moves to the origin. Would the net force on the third spider (S3) be greater than, less than, or equal to the magnitude found in part (a)? greater than in part a (c) What are the magnitude and direction of the net force on the third spider (S3) when it is resting at the origin? magnitude 24.4 Ndirection -90 ° counterclockwise from the +x-axis
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5) Newer automobiles have filters that remove fine particles from exhaust gases. This is done by charging the particles and separating them with a strong electric field. Consider a positively charged particle +3.3 µC that enters an electric field with strength 2 ✕ 106 N/C. The particle is traveling at 19 m/s and has a mass of 10−9 g. (a) What is the acceleration of the particle? (Enter the magnitude only.) 6.6e12 m/s2 (b) What is the direction of the acceleration of the particle relative to the electric field? It is in the same direction as the electric field.
Webassign A1
6) A man is standing beneath two rain clouds, equidistant from each cloud, as shown in the figure. Cloud A has an excess of 5.0 104 negative charges while cloud B has 5.0 104 positive charges (where a charge has magnitude e). (a) What is the magnitude of the net electric field where the man is standing? 4.4e-12 N/C (b) What is the direction of the net electric field where the man is standing? (Assume the +x-axis is to the right.) 180 ° counterclockwise from the +x-axis
Webassign A1
1) An evacuated tube uses an accelerating voltage of 41 kV to accelerate electrons to hit a copper plate and produce X-rays. Non-relativistically, what would be the maximum speed (in m/s) of these electrons? 1.2e8 m/s
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10) Find the total capacitance in micro farads of the combination of capacitors shown in the figure below. .2929 µF
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11) (a) What is the energy (in J) stored in the 40.0 µF capacitor of a heart defibrillator charged to 8.40 ✕ 103 V? 1411.2 J (b) Find the amount of stored charge (in mC). 336 mC
Webassign A2
12) What total energy is stored in the capacitors in the figure below (C1 = 0.523 µF, C2 = 50.7 µF) if 1.80 10-4 J is stored in the 2.50 µF capacitor? (Enter your answer to at least three significant figures.) 2.17e-4 J
Webassign A2
2) A bare helium nucleus has two positive charges and a mass of 6.64 ✕ 10−27 kg. (a) Calculate its kinetic energy in joules at 3.40% of the speed of light. 3.45e-13 J (b) What is this in electron volts? 2.16e6 eV (c) What voltage would be needed to obtain this energy? 1.08e6 V
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4) The electric field strength between two parallel conducting plates separated by 5.00 cm is 5.20 ✕ 104 V/m. (a) What is the potential difference between the plates (in kV)? 2.6 kV (b) The plate with the lowest potential is taken to be at zero volts. What is the potential (in V) 1.80 cm from that plate (and 3.20 cm from the other)? 936 V
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5) The voltage across a membrane forming a cell wall is 86.0 mV and the membrane is 8.20 nm thick. What is the electric field strength in volts per meter? (The value is surprisingly large, but correct. Membranes are discussed later in the textbook.) You may assume a uniform E-field. 1.05e7 V/m
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6) What are the sign and magnitude of a point charge that produces an electric potential of −2.36 V at a distance of 7.73 mm? -2.03e-12 C
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7) Three point charges q1, q2, and q3 are situated at three corners of a rectangle as shown in the diagram below. Here q1 = +4.00 µC, q2 = −4.00 µC, q3 = +9.00 µC. (a) What is the electric potential at the free corner where there is no charge? 2.4e6 V (b) What charge should be placed at the free corner for the electric potential at the center of the rectangle to be zero? Include both magnitude and sign if applicable. -9 µC
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8) A charge q1 = 2.42 µC is at a distance d = 1.83 m from a second charge q2 = −4.97 µC. (a) Find the electric potential at a point A between the two charges that is 2d/3 from q1. Note that the location A in the diagram above is not to scale. -55475.41 V (b) Find a point between the two charges on the horizontal line where the electric potential is zero. (Enter your answer as measured from q1.). 6 m
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9) A parallel plate capacitor has metal plates, each of area 1.35 m2, separated by 1.10 mm. What charge (in µC) is stored in this capacitor if a voltage of 2.10 ✕ 103 V is applied to it? 22.83 µC
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1) A total of 590 C of charge passes through a flashlight in 0.530 h. What is the average current in milliamperes? 309 mA
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2) What current (in A) flows through the bulb of a 2.80 V flashlight when its hot resistance is 3.50 Ω? .8 A
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3) A power transmission line is hung from metal towers with glass insulators having a resistance of 3.60 ✕ 109 Ω. What current (in mA) flows through the insulator if the voltage is 250 kV? (Some high-voltage lines are DC.) 6.94e-2 mA
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4) If the 0.110 mm diameter tungsten filament in a light bulb is to have a resistance of 0.144 Ω at 20.0°C, how long should it be? The resistivity of tungsten at 20.0°C is 5.60 10-8 Ω ·m. .024 m
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5) Hydroelectric generators at Hoover Dam produce a maximum current of 8.00 ✕ 103 A at 250 kV. (a) What is the power output (in W)? 2000000000 W (b) The water that powers the generators enters and leaves the system at low speed (thus its kinetic energy does not change) but loses 160 m in altitude. How many cubic meters per second are needed, assuming 60.0% efficiency? (Assume the density of water is 1,000 kg/m3.) 2123.68 m3/s
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6) What power is supplied to the starter motor of a large truck that draws 225 A of current from a 21.8 V battery hookup? 4.905 kW
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7) A 1,780 W toaster, a 1,360 W electric frying pan, and a 50 W lamp are plugged into the same outlet in a 15 A, 120 V circuit. (The three devices are in parallel when plugged into the same socket.) (a) What current (in A) is drawn by each device? Itoaster=14.83 AIpan=11.33 AIlamp=.42 A (b) Will this combination blow the 15 A fuse? Yes
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8) Find the total resistance of the combination of resistors shown in the figure below. (R1 = 17.0 µΩ, R2 = 5.90 µΩ, and R3 = 0.300 µΩ.) 4.68 µΩ
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9) Find the equivalent resistance of the combination of resistors shown in the figure below. (R1 = 3.42 µΩ, R2 = 17.6 µΩ.) 1.39 µΩ
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1) What is the direction of the magnetic force on a positive charge that moves as shown in each of the six cases shown in the following figures? (a) to the left (b) into the page (c) upward (d) no force (e) to the right (f) downward
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2) An electron moving at 3.70 ✕ 103 m/s in a 1.05 T magnetic field experiences a magnetic force of 1.40 ✕ 10−16 N. What angle does the velocity of the electron make with the magnetic field? There are two answers between 0° and 180°. 13 ° (smaller value) 167 ° (larger value)
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3) What radius (in m) circular path does an electron travel if it moves at 7.00 ✕ 106 m/s perpendicular to a magnetic field of 0.895 T? 4.45e-5 m
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4) (a) What is the angle between a wire carrying an 8.00 A current and the 1.20 T field it is in, if 50.0 cm of the wire experiences a magnetic force of 2.35 N? 29 ° (b) What is the force (in N) on the wire if it is rotated to make an angle of 90° with the field? 4.8 N
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5) (a) What is the maximum torque (in N·m) on a 165 turn square loop of wire 18.0 cm on a side that carries a 50.0 A current in a 1.60 T field? 427 N·m (b) What is the torque (in N·m) when θ is 10.9°? 80.7 N·m
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