EE 305 Final Review 2023

Given is the circuit below. The node connected to ground is the reference node, the voltages at nodes a, b, and c are unknown and have to be determined. Using the dummy version of the node voltage analysis, you find Gb,c to be

-1/R2

The charge of an electron is given by qe = -1.602•10-19C. 60,000 electrons will therefore provide a total charge of

-9.612•10-15C

For the circuit below, the correct KVL for the indicated loop is:

-VB+VC+VD-VA=0

Given is a resistor R=1kΩ. There is a voltage drop of VR=10V across the resistor. Which power rating is needed for this resistor?

0.125 W

Given is a resistor R=10kΩ. There is a current of IR=4mA across the resistor. Which power rating is needed for this resistor?

0.25W

The power rating of a 470Ω resistor carrying a current of 30mA should be

1/2 W

The Voltage 1kV is the same as

10+3V

Resistors of the E24 series (5% tolerance) have the following values within the decade between 100 and 1000

10, 11, 12, 13, 15, 16, 18, 20, 22, 24, 27, 30, 33, 36, 39, 43, 47, 51, 56, 62, 68, 75, 82, 91

The SI unit prefix pico is equal to a numeric factor of

10-12

The current 0.1mA is the same as

10-4A

The resistor 109Ω is the same as

103MΩ

The voltage drop across a 2100W hairdryer that draws 16.8A is

125V

A toaster draws 120A from a 240V line. The resistance of the toaster is:

2 ohms

A dieelectric material is charged by a current of 4A. A charge of 8C will be accumulated in the material after

2s

A dieelectric material is charged by a current. A charge of 16C is accumulated in the material after 0.5s. The charge current is:

32A

A dieelectric material is charged by a current of 7A. A charge of 21C will be accumulated in the material after

3s

Given is the circuit below. Using node voltage analysis, we need to set up a

3x3 conductance matrix, because there are 3 unknown voltages.

A toaster draws 60A from a 240V line. The resistance of the toaster is:

4 ohms

An AC voltage source vs(t) generates a rectangular voltage as given below. What is the period of the signal?

4s

The charge of an electron is given by qe = -1.602•10-19C. How many electrons will therefore provide a total charge of -8.01•10-16C?

5,000 electrons

Resistors of the E12 series (10% tolerance) have the following values within the decade between 10 and 100: 10, 12, 15, 18, 22, 27, 33, 39, 47, 56, 68, 82 You have calculated a resistance of 73Ω. Which of the given resistor values do you choose?

68

A dieelectric material is charged by a current of 6A. Which charge will be accumulated in the material after 1s?

6C

An ideal voltage source is disconnected from any circuit. The following statement is true.

An ideal voltage source has no internal resistance.

Which elements in the circuit diagram below are in parallel?

B and C

Which elements in the circuit diagram below are in series?

B and C

Given is a parallel plate capacitor. It has a capacitance C1. If we double the distance between the plates the new capacitance C2 is given b

C2 =C1/2

We have two series capacitors, C1 and C2. The equivalent capacitance is

Ceq = (C1C2)/(C1 + C2)

You have given a long cylindrical resistor R1 = 73Ω. You are charged to build a second resistor R2 from the same material and of the same length but with twice the resistance as R1. Which cross section do you have to choose?

A2 = 0.5 A1

What is the basic SI unit for current?

Ampere

Given is the circuit below. The node connected to ground is the reference node, the voltages at nodes a, b, and c are unknown and have to be determined. Using the dummy version of the node voltage analysis, you find Gb,b to be

G b,b = 1/R1 + 1/R2 + 1/R3

Given is the following part of a circuit. The equivalent conductance in terms of R1 and R2 is given by

Geq = 1/ R1 + R2

What is the correct KCL for the node below?

I1 - I2 + I3 - I4 - I5 = 0

You have given a long cylindrical resistor R1 = 73Ω. You are charged to build a second resistor R2 from the same material and with the same cross section but with twice the resistance as R1. Which length do you have to choose?

I2 = 2 I1

For the circuit below, which relation is correct?

I3 (R3+R4) = -I2 R2

For the circuit below, I1 = 7A, I2 = -2A, I3 = -3A. What is the value of I4?

I4 = 2A

For the circuit below, Is = -4A, IA = -5A. What is the value of IB?

IB = -1A

Given is a long cylindrical coil. It has an inductance L1. If we cut the length of the coil in half the new inductance L2 is given by

L2 = 2L1

Given is the circuit below. Can we use the dummy version of mesh current analysis to find the unknown mesh currents?

No, because there is an ideal current source in the circuit.

Given is the circuit below. Can we use the dummy version of node voltage analysis to find the unknown node voltages?

No, because there is an ideal voltage source in the circuit.

The elements in a circuit have been labled as A: active B: passive C: passive Which of the following options will assure that the power is conserved in the circuit:

PA=+10W PB=+7W PC=+3W

The elements in a circuit have been labled as A: passive B: active C: passive Which of the following options will assure that the power is conserved in the circuit:

PA=+10W PB=+7W PC=-3W

An ideal voltage source is defined by the following sentence:

Provides the prescribed voltage at its terminals regardless of the circuit connected.

If we replace the element(s) in a branch with a short circuit, the following statement is true:

R → 0, v=0 for any i.

Given is the circuit below.Using the dummy version of Mesh Current Analysis you find R1,1 to be

R1 + R2 + R5

Which of the answer circuits is the same as the one in the question?

R1 R2||R4 R3

Given is the circuit below. Using the general version of Mesh Current Analysis the KVL for Mesh 2 is given by

R2 (IM2 - IM1) + R3 (IM2 - IM1) + R4 IM2 + R5 IM2 + R7 (IM2 - IM3) = 0

Given is the circuit below.Using the dummy version of Mesh Current Analysis you find R2,3 to be

R2,3=0

Given is the following circuit: This is a balanced Wheatstone Bridge for

R4 = 2k ohms

You have a Norton Current Source and its equivalent Thevenin Voltage Source given.The following statement is true

RT = 1/ GN

Given is the circuit below. R1=200Ω, R2=R3=70Ω, R4=R5=R6=20Ω. What is the total equivalent resistance with respect to the ideal voltage source?

Req = 100 ohms

There are N equal resistors connected in series. Each resistor has a resistance of R=30Ω. What is the total equivalent resistance Req if we have N=20 resistors?

Req = 600 ohms

Given is the circuit on the left below. The circuit diagram on the right describes the same circuit after setting the current source to zero and combining the resistances into an equivalent resistance. What is the equivalent resistance?

Req = R2 + R3 + R4

The resistors R1=10Ω, R2=20Ω, R3=30Ω, and R4=40Ω are connected in series. What is the total equivalent resistance Req?

Req= 100Ω

The resistors R1=100Ω, R2=200Ω, and R3=100Ω are connected in parallel. What is the total equivalent resistance Req?

Req= 40Ω

Given is the circuit below. R1=50Ω, R2=R3=R4=R5=R6=10Ω, Vs=10V. Which of the following statements is true?

The current through R1 is equal to the current through R4.

A practical voltage source is disconnected from any circuit. The following statement is true.

There will be no current through the internal resistance.

Ohm's Law states V=IR (Voltage is equal to current times resistance). For I=10A and R=50Ω the following equation is correct:

V = 10A ⋅ 50Ω = 500V

The peak-value phasor corresponding to the following signal v(t) = 15V cos(ω t + π/2) is given by

V = 15Vejπ/2

For the circuit below, indicate which equation does not describe a valid KVL.

V1-V3-V4-V2=0

For the circuit below, VS = 9V, V1 = 3V, V3 = 1V. What is V2?

V2 = 6V

The voltage V2 is given by:

V2 = R2 / R1 + R2 * Vs

For the circuit below, V3 is given by

V3 = (R3/ R3 + R4) * V2

For the circuit below, VS = 9V, V1 = 3V, V3 = 5V. What is V4?

V4 = 1V

Given is the circuit below. R1=50Ω, R2=R3=R4=R5=R6=10Ω, Vs=10V. What is the voltage across R1?

VR1 = 10V

For the circuit below, VA = 4V, VB = 3V, VC = 5V. What is VD?

Vd = 2V

There are N equal resistors connected in series. They are connected to a voltage source Vs=60V. Each resistor has a resistance of R=30Ω.What is the voltage Vn across one individual resistor if we have N=20 resistors?

Vn = 3V

The admittance of a resistor is given by

YR = 1/R

There is an inductor L between the nodes i and j and while no other element connects these two nodes.For the dummy version of node voltage analysis, what is Yi,j

Yi,j = -1/(jωL)

The impedance of a resistor and an inductor in series is given by

ZRLseries = R+jωL

A resistor is

a passive element.

The average signal of a sinusoidal signal is

always 0

A capacitor in a DC circuit can be replaced by

an open circuit

To zero out a current source it must be replaced by

an open circuit

The reciprocal of resistance is:

conductance

An inductor

consists of of a coil usually wound around a core material.

A capacitor

consists of two plates (usually of identical shape) facing each other at a distance and carrying equal but opposite charges.

In the piece of circuit given below i1 = 2A and i2 = 4A. What is the value of i3?

i3 = 6A

What is the basic SI unit for mass?

kilogram

Given is the circuit below. The reference node has a known voltage of 0V. All elements in the cicuit are known. We apply node voltage analysis to the circuit. For which nodes do we have to calculate unknown voltages?

nodes A and B

Given is the circuit below. The circuit contains 4 meshes, therefore four mesh currents have to be found. Using the mesh current analysis, how many mesh currents are immediately known?

none

An ideal capacitor is

passive element

To find the Thevenin Voltage, we have to

replace the load with an open circuit and compute the open circuit voltage.

To measure a voltage across a circuit element,

the voltmeter must be put in parallel to this element, while the element is still in the circuit.

You have a circuit with three sources. To find the total voltage across one specific resistor using the principle of superposition you need to find the voltage across this resistor

three times and add up the results.

We can find the Thevenin Voltage

with any number of voltage and current sources present in the original circuit.

Given are the following complex numbers: z1 = 3 + j 4z2 = 5 + j 10 the sum is given by

z1 + z2 = 8 + j 14

Given are the following complex numbers: z1 = 2 ejπ/4 z2 = 5 e-jπ/2 Then z1/z2 is given by

z1/z2 = 0.4 e+j3π/4

given is the complex number z1=15 ∠ π/2 . What is its complex conjugate?

z1=15 ∠ -π/2