hw 18-29
In an RLC circuit, the resistance is 35.0 ohms, the capacitive reactance is 25.0 ohms, and the inductive reactance is 45.0 ohms. What is the power factor for this circuit?
0.868 page 42
What is the index of refraction inside a certain transparent material if the critical angle is found to be 58.0° (air is outside)?
1.179 page 59
The speed of light in a certain medium is 1.93 x 108 m/s. What is the index of refraction of this medium?
1.55 page 59
A light ray initially in water (n = 1.33) enters a transparent substance at an angle of incidence of 40.0°, and the transmitted ray is refracted at an angle of 29.5°. Find the refractive index of the substance.
1.736 page 58
A woman stands 6.00 m in front of a convex mirror and notices that her image height is 0.300 of her actual height. Determine the focal length of the mirror in m. (Include the correct sign.)
-2.57 page 57
A woman stands 5.00 m in front of a convex mirror and notices that her image height is 0.800 of her actual height. Determine the location of her image in m. (Include the correct sign.)
-4 page 57
A convex mirror has a radius of curvature of 1.600 m. Where must an object be placed in front of the mirror such that the image is formed 0.100 m behind the mirror? Give your answer in meters rounded to three decimal places.
0.114 page 54
A cellular telephone transmits electromagnetic waves at a frequency of 775 MHz. What is the wavelength of these waves in meter? (c = 3.0 x 108 m/s, 1MHz = 106 Hz)
0.3871 page 45
You walk directly toward a plane mirror at a speed of 0.20 m/s. Determine the speed of the image relative to you.
0.40 page 51
If the average intensity of an electromagnetic wave is 56.0 MW/m2, what is the strength of peak magnetic field (in mT) of this wave? (c = 3.00 x 108 m/s, μ0 = 4π × 10-7 T ∙ m/A, ε0 = 8.85 × 10-12 C2/N ∙ m2)
0.6849 page 49
An uncharged 40.0-µF capacitor is connected in series with a 53.0-kΩ resistor, a DC battery, and an open switch. At time t = 0, the switch is suddenly closed. How long does it take for the capacitor to charge to 60.0% of its maximum charge? Give your answer in SI unites.
1.943 page 38
An object 3.40 mm tall is placed 65.0 cm from the a convex lens. The focal length of the lens has magnitude 10.0 cm. How far (in cm) is the image from the the lens?
11.82 page 60
In an AC circuit the voltage varies as V = 180.0 sin ([225.0 rad/s]t) volts. What is the rms voltage?
127.28 page 37
A convex mirror with a focal length of 40.0 cm is used to form an image that is 11.0 cm behind the mirror. What is the object distance in cm?
15.17 page 57
In an AC circuit the voltage varies as V = 150 sin ([325 rad/s]t) volts. What is the peak voltage in volts?
150 page 38
If the ac peak voltage across a 120-ohm resistor is 210 V, then the average power dissipated by the resistor is ________. Give your answer in SI unit.
183.75 page 43
If the real image for a 13.1 cm focal length concave mirror is located 40.6 cm from the mirror, determine the location of the object in cm.
19.34 page 53
What would be the resonant frequency (in Hz) of an LRC circuit with R = 39.0 Ω, L = 20.0 mH, and C = 33.0 μF?
195.906 page 42
The peak output Current and Voltage of a generator are respectively 20.00 A and 240.0 V. What average power is provided by the generator? Give your answer in SI units
2,399.976 page 43
If the real image for a 18.2 cm focal length concave mirror is located 57.5 cm from the mirror, determine the magnification of the image.
2.16 page 54
If the peak electric field in an electromagnetic wave is 659.0 V/m. What is the peak magnetic field (in μT) for the same wave? c = 3.00 x 108 m/s.
2.196 page 44
An electromagnetic wave has an electric field with a rms value of 90.0 N/C. What is the average intensity of the wave? (c = 3.00 x 108 m/s, μ0 = 4π × 10-7 T ∙ m/A, ε0 = 8.85 × 10-12 C2/N ∙ m2)
21.5055 page 49
A light with a wavelength of 579.0 nm travels from air into a transparent medium with an index of 2.50. What is the wavelength (in nm) of the light in the medium?
231.67 page 58
In an RLC circuit, the resistance is 15.0 ohms, the capacitive reactance is 30.0 ohms, and the inductive reactance is 50.0 ohms. What is the circuit impedance in ohm?
25 page 41
The radius of curvature of a spherical concave mirror is 54.0 cm. What is its focal length of the mirror in cm?
27 page 51
An electromagnetic wave has an electric field with a peak value of 460. N/C. What is the average intensity of the wave? (c = 3.00 x 108 m/s, μ0 = 4π × 10-7 T ∙ m/A, ε0 = 8.85 × 10-12 C2/N ∙ m2)
280.83 page 46
The inductive reactance of a 82.0 mH inductor at a certain frequency is 150 Ω. What is the frequency in Hz?
291.137 page 40
A ray of light passes from air into a glass block of refractive index 1.33, as shown in the figure. What is the value of the distance D (in cm) if the thickness of the block a = 58.0 cm and θ = 40.0o ?
32.02 page 60
An electromagnetic wave has a magnetic field with a peak value of 5.50 × 10-7 T. What is the average intensity of the wave in SI units? (c = 3.00 x 108 m/s, μ0 = 4π × 10-7 T ∙ m/A, ε0 = 8.85 × 10-12 C2/N ∙ m2)
36.41 page 48
A 540.0-Ω resistor, an uncharged 1.50-µF capacitor, and a battery with an emf of 20.0 V are connected in series as shown in the figure below. The switch S is closed at time t=0. What is the initial current in mA?
37.04 page 39
A 280.0-Ω resistor, an uncharged 1.50-µF capacitor, and a battery with an emf of 30.0 V are connected in series as shown in the figure below. The switch S is closed at time t=0. What is the current (in mA ) after one time constant?
39.416 page 39
The wavelength of a certain portion of microwaves is 62.0 mm. What is its frequency in GHz?
4.84 page 45
A radio signal transmitter is operating at an average power of 14.0 kW. What is the average intensity of the signal 5.00 km from the transmitter? Give your answer in μW/m2 . Assume that the signal power is radiated uniformly in all directions.
44.56 page 50
A concave spherical mirror with a radius of 67.0 cm has a 7.00 cm tall object placed 110.0 cm in front of it. What is the position of the image in cm relative to the mirror?
48.17 page 52
A object is 19.0 cm in front of a concave mirror, and the image is 7.00 cm in front of the mirror. What is the focal length in cm of the mirror? round your answer to two decimal places.
5.12 page 53
A series RLC circuit has R = 20.0 Ω, L= 25.0 mH, and C = 33.0 μF. The circuit is connected to a 150.0 V (rms) source with frequency 120.0 Hz. What is the rms current (in Amperes) in the circuit?
5.129 page 41
In an AC circuit the voltage varies as V = 210 sin ([320 rad/s]t) volts. What is the frequency of the voltage in Hz?
50.93 page 37
Electromagnetic waves are radiated uniformly in all directions from a source. The rms electric field of the waves is measured 34.0 m from the source to have an rms value of 3.70 N/C. Determine the average total power in SI units radiated by the source. (c = 3.00 x 108 m/s, μ0 = 4π × 10-7 T ∙ m/A, ε0 = 8.85 × 10-12 C2/N ∙ m2)
527.52 page 50
A ray of light is reflected from two plane mirror surfaces as shown in the figure. If α = 52.0o what are the correct values of β? Drawing is not to scale.
53 page 51
An ac generator is connected across the terminals of a 6.10. µF capacitor. Determine the frequency (in Hz) at which the capacitive reactance is 447 Ω.
58.37 page 40
What is the reactance expressed in SI units of a 5.00 µF inductor at 50.0 Hz?
636.32 page 40
The value of the magnetic field for a certain type of electromagnetic wave is 2.69 μT. What is the value of the electric field in V/m for that wave? c = 3.00 x 108 m/s.
807 page 44
Refer to the figure below. Which arrow shows a direction that is closest to the force on charge q3 of the above problem? Please enter a single letter that represents the correct arrow.
F
A uniform electric field of 6.00 V/m exists between the plates of a parallel plate capacitor. How much work (in μJ) is required to move a +15.0 μC point charge from the negative plate to the positive plate if the plate separation is 4.20 cm?
PAGE 10 (3.78)
A parallel plate capacitor has plates of area 4.80 × 10-3 m2 and plate separation 2.60× 10-4 m. The capacitor is filled with a material that has a dielectric constant of 3.50. Determine the capacitance of this system in pF. (The permittivity of free space ∈0 = 8.85 × 10-12 F/m. 1pF = 10-12 F)
PAGE 10 (571.8 pF)
14.3 A current flows for 4.70 seconds. How much coulomb of charge has passed through this circuit?
PAGE 11 (67.21)
The resistivity of the material of a wire is 2.63 × 10-8 Ωm. If the diameter of the wire is 1.60 mm and its length is 1.50 m, what is its resistance of the material in Ω?
PAGE 12 (.0196)
For the circuit shown below find the current (in Amperes) through R1. R1 = 3.00 Ω, R2 = 3.00 Ω, R3 = 6.00 Ω, ε = 30.0 volts
PAGE 12-13 (6)
A 1.30-A current flows into a series combination of a 15.0-Ω and a 24.0-Ω resistor. What is the power (in Watts) dissipated in the 15.0-Ω resistor?
PAGE 13 (25.35)
A 60.0-Ω resistor is connected across 225 V. What current (in Amperes) will flow?
PAGE 13 (3.75)
The power rating of a 459.0-Ω resistor is 190.0 W. What is the maximum current (in A) this resistor can draw without damaging it?
PAGE 14 (.64)
A 258.0-Ohm resistor is connected across a 188.0 V power source. What is the power (in Watts) dissipating in the resistor?
PAGE 14 (137)
The capacitors in the network shown in the figure all have a capacitance of 75.0 µF. The equivalent capacitance, Cab, of this capacitor network is __________ µF.
PAGE 14 (45)
Three resistors, 15.0-Ohm, 11.0-Ohm, 12.0-Ohm, are connected in parallel in a circuit. What is the equivalent resistance of this combination of resistors?
PAGE 15 (4.15)
For the circuit shown in the figure, what is the magnitude of current (in A) through resistor R2? R1 = 38.0 Ω, R2 =15.0 Ω , R3 = 13.0 Ω , V1 = 38.0 V, V2 = 11.0 V.
PAGE 17 (.393)
For the circuit shown in the figure, what is the magnitude of current (in A) through resistor R1? R1 = 39.0 Ω, R2 =16.0 Ω , R3 = 17.0 Ω , V1 = 39.0 V, V2 = 11.0 V.
PAGE 17 (.717)
In the figure above a small particle of charge q = -3.00 x 10-6 C and mass m = 3.80 x 10 -12 kg has velocity v = 6.70 x 10 3 m/s as it enters a region of uniform magnetic field. The particle is observed to travel in the semicircular path shown, with radius R = 4.00 cm. Calculate the magnitude of the magnetic field in Tesla.
PAGE 18 (.212)
A 6.27 mC charge is projected with a velocity of 5.62 × 103 m/s into a magnetic field of 0.611 T perpendicular to the motion of the charge. What is the force (in N) that acts on the charge?
PAGE 18 (21.5)
A wire carrying a 3.58 A current is placed at an angle of 30° with the respect to a magnetic field of strength 31.3 T. If the length of the wire is 0.664 m what is the magnitude of the magnetic force (in Newtons) acting on the wire?
PAGE 19 (37.20)
A long straight wire carrying a 6.00-A current is placed along the x-axis as shown in the figure. What is the magnitude of the magnetic field (in μT ) at a point P, located at y = 0.200 m, due to the current in this wire?
PAGE 19 (6)
An electric field of 290,000 N/C points due west at a certain spot. What is the magnitude of the force that acts on a charge of -3.00 μC at this spot? (1μC = 10-6 C) Give your answer in SI unit rounded to two decimal places. (do not enter units)
PAGE 2 (.87)
In the figure below, charge q1 = -2.00 nC is placed on the x-axis at x= -0.200 m and charge q2 = 3.50 nC is at the origin . What is the magnitude of the electric field in N/C (Newton/Coulomb) at x=+0.200 m on the x-axis? k =9.00 x 109 N⋅m2⋅C−2
PAGE 2 (675)
In Figure below, the two long straight wires are separated by a distance of d= 0.200 m. The currents are I1 = 7.70 A to the right in the upper wire and I2= 15.4 A to the left in the lower wire. What is the magnitude of the magnetic field in μT at point P, that is a distance d/2 below the lower wire? (NOTE: μ0 = 4π × 10-7T ∙ m/A.)
PAGE 20 (25.7)
A 50 turn circular loop carrying a current of 2.97 A is in a magnetic field of 4.93 T. The loop has an area of 0.300 m2 and its plane is oriented at a 37.0° angle to the field. What is the magnitude of the magnetic torque on the loop?
PAGE 21 (175.4)
A solenoid of 200 turns carrying a current of 15.0 A has a length of 74.0 cm. What is the magnitude of the magnetic field (in T) at the center of the solenoid?
PAGE 23 (.00509)
Find the magnetic field (in Gauss) at the center of a 300 turn circular loop of radius 54.0 cm and carrying a current of 13.7 A. μ0 = 4π × 10-7 T ∙ m/A, 1T=10000 Gauss.
PAGE 23 (47.8)
A very long straight wire carries a 18.0-A current eastward, and a second very long straight wire carries a 17.0-A current westward. The wires are parallel to each other. If the force per unit length on one of the wires is 3.00 x 10 -5 N/m, how far apart are the wires in meter. (μ0 = 4π × 10 -7 T ∙ m/A)
PAGE 24 (2.04)
A circular loop of very thin wire and radius 0.400 m carries a 15.9-A current as shown in the figure. A long straight also of very thin wire on the y-axis, carries a 2.10-A current. Both lie in the same plane. What is the magnitude of the magnetic field (in μT) due to the two currents at the center of the loop? (μ0 = 4π × 10-7 T ∙ m/A).
PAGE 25 (23.92)
A -5.00 µC charge is located 0.200 m to the left of a +6.00 µC charge. What is the magnitude of the electrostatic force in newton on the positive charge? (k = 1/4πε0= 9.00 × 109 N ∙ m2/C2, do not enter units)
PAGE 3 (6.75)
A conducting bar moves along frictionless conducting rails connected to a 3.50 Ω resistor as shown in Figure below. The length of the bar is 1.90 m and a uniform magnetic field of 7.40 T is applied perpendicular to the paper. What is the magnitude of the induced current in the wire as the bar moves to the right with a constant speed of 8.50 m/s? Give your answer in SI unit. Do not enter the unit.
PAGE 30 (34.15)
A 26.0-T magnetic field is directed perpendicular to the plane of a circular loop of radius 0.700 m. What is the magnitude of the magnetic flux through the loop?
PAGE 31
A circular loop of radius 0.500 m is rotating in a uniform external magnetic field of 7.20 T. Find the magnetic flux in SI units through the loop due to the external field when the plane of the loop and the magnetic field vector are at an angle of 62.0° with each other.
PAGE 31
A circular coil of diameter 16.0 cm, with 41 turns is in a magnetic field of 0.400 Tesla. Initially the field is perpendicular to the plane of the coil. If the coil is rotated in 19.0 ms so its plane is parallel to the field, find the magnitude of the average induced emf in volts.
PAGE 32 (17.35)
A 120-turn coil of resistance 2.00 ohms and cross sectional area 16.2 cm2 lies in the plane of the page. An external magnetic field of 0.800 T is directed out of the plane of the page. The external field decreases to 0.100 T in 11.4 milliseconds. What is the magnitude of the induced current (in Amperes) in the coil?
PAGE 33
At what rate would the current (in A/s) in a 65.0 mH inductor have to change in magnitude to induce an emf of 30.0 V in the inductor?
PAGE 34
The coil in a 60.0-Hz ac generator has 109 turns, each having an area of 0.0300 m2 and is rotated in a uniform 0.400-T magnetic field. What is the peak output voltage of this generator?
PAGE 34
The current flowing through a circuit is changing at a rate of 2.00 A/s. If the circuit contains a 130 H inductor, what is the magnitude of the emf (in volts) across the inductor? (please do not enter the unit)
PAGE 34 (260)
A 39.0 cm long solenoid has 200 turns and a cross-sectional area of 2.90 × 10-4 m2. The self inductance of the solenoid is ____________ μH. (μ0 = 4π × 10-7 T ∙ m/A)
PAGE 35
A solenoid with 1,900 turns has a cross-sectional area of 17.0 cm2 and length of 13.0 cm. How much energy in Joules is stored in the magnetic field of the solenoid when it carries a current of 11.0 A?
PAGE 35
A transformer consists of a 760 turn primary coil and a 2,000 turn secondary coil. If the current in the primary is 8.80 A, What is the current (in A) in the secondary?
PAGE 36
At what separation will two charges, each of magnitude 7.30 μC, exert a force of 2.90 N on each other? Give your answer in meters. (k = 1/4πε0 = 9.00 × 109 N ∙ m2/C2, 1μC = 10-6 C)
PAGE 4 (.422)
What is the magnitude of the electric field in SI units due to a 6.00 nC charge at a point located 0.340 m from the charge? (1nC = 10-9 C, k = 1/4πε0 = 9.0 × 109 N∙ m2/C2)
PAGE 4 (467)
In the figure below q1 = -8.80 μC, q2 = +6.90 μC , and q3 = +6.40 μC . Find the magnitude of the net force in newtons on q3? k = 9.00 x 109 N⋅m2⋅C−2
PAGE 5A (4.86)
Three point charges are placed on the x-axis. A charge of +5.00 μC is placed at the origin, -5.00 μC to the right at x = 50.0 cm, and +7.00 μC at the x= 100.0 cm. What is the magnitude of the electrostatic force (in Newtons) which acts on the charge at x=50.0 cm? k = 9.00 x 109 N⋅m2⋅C−2
PAGE 6 (.36)
Consider the group of charges in this figure. All three charges have 22.0 µC. What is their electric potential energy in Jouels? (k = 9.00 x 10 9 N.m2 /C2)
PAGE 7 (341.22)
A parallel plate capacitor is constructed with plate area of 0.700 m2 and a plate separation of 0.100 mm. How much µJ of energy is stored on it when it is charged to a potential difference of 15.5 V? ∈0 = 8.85 × 10-12 F/m
PAGE 7 (7.44)
A 2.00 μF capacitor has a charge of 50.0 μC. What is the voltage in SI units between the plates of the capacitor? (do not enter units )
PAGE 8 (25)
The voltage between two parallel plates separated by a distance of 4.00 cm is 180.0 V. The electric field between the plates in SI units is ________.
PAGE 8 (4500)
A uniform electric field exists between two parallel plates separated by 8.00 cm. The intensity of the field is 77.0 kN/C. What is the potential difference (in kV) between the plates?
PAGE 8 (6.16kv)
You attach a 2.6 µF capacitor across a 100 V battery. How much joules of energy is stored in the capacitor?
PAGE 9 (.013)
A positive point charge of 1.70 x 10-4 C is located 6.00 m from another positive point charge of 8.00 x 10-4 C. Their mutual electric potential energy is__________. (k = 1/4πε0= 9.00 × 109 N.m2/C2 )∙
PAGE 9 (204)
Two parallel metal plates 5.30 cm apart have a potential difference between them of 81.0 V. The electric force on a positive charge of 15.4 × 10-3 C at a point midway between the plates is ________________ N.
PAGE 9 (24)
What is the direction of the electric current in the coil of the previous problem?
counterclockwise
What is the direction of the magnetic field in the above problem?
into the page
What is the direction of the net magnetic field at the center of the loop in the preceding problem?
into the page
What are the characteristics of the image of the above problem? (There may be more than one correct answers)
inverted on the same side of the object relative to the mirror. real between the object and the mirror. diminished
What is the direction of the magnetic field at a point P in the preceding problem?
out of the page
What is the the direction the magnetic field at point p in the above problem.
out of the page
For the circuit in the previous problem, if I1 , I2 and I3 are the currents through R1, R2 and R3, respectively. Rank the currents in order from the smallest to the largest. Hint: No calculation is needed to answer this question.
smallest to largest --> i3 , i2, i1
In the above problem, what is the direction of the electric field at the specified point?
to the +x direction
