A voltage-controlled voltage source has a unitless gain parameter of 2. If the controlling voltage, v_x, is -7 V, what is the voltage of the source?

Correct answer: -14 V

Explanation

This question tests the calculation of the output of a dependent source when the controlling variable is negative, requiring careful attention to signs.

Other questions

Question 1

What are the two primary objectives of systems designed by electrical engineers?

Question 2

What is the term for the subdivision of electrical engineering that is concerned with information-bearing electrical signals, often with the objective of extracting useful information from them?

Question 3

What is the electrical current i(t) if the charge q(t) passing through a circuit element is given by q(t) = 2 - 2e^(-100t) C for t > 0?

Question 4

In the context of electrical circuits, what is the definition of voltage?

Question 5

Consider a circuit element where the voltage is v_ab = 20 V. If a positive charge of 2 C moves from terminal b to terminal a, how much energy is transferred and is it supplied or absorbed by the element?

Question 6

What does the 'passive reference configuration' for a circuit element signify?

Question 7

A circuit element has a voltage of 12 V and a current of 2 A entering its positive terminal. What is the power associated with this element?

Question 8

What does Kirchhoff's Current Law (KCL) state about any node in an electrical circuit?

Question 9

If two circuit elements are connected in series, what can be said about their currents?

Question 10

What does Kirchhoff's Voltage Law (KVL) state about any closed path (loop) in an electrical circuit?

Question 11

If two circuit elements are connected in parallel, what can be said about the voltages across them?

Question 12

According to Ohm's Law, what is the relationship between voltage (v), current (i), and resistance (R) for an ideal resistor, assuming the passive reference configuration?

Question 13

What is the resistance of a copper wire with a diameter of 2.05 mm and a length of 10 m? The resistivity of copper is 1.72 x 10^-8 Ohm-m.

Question 14

An electrical heater is rated for 1500 W when operated from 120 V. What is its operating resistance?

Question 15

What is the definition of an ideal independent voltage source?

Question 16

A 1 kilohm resistor is rated for a maximum power of 1/4 W. What is the maximum voltage that can be applied across it?

Question 17

In the fluid-flow analogy for electrical circuits, what is electrical current analogous to?

Question 18

What is the equivalent term for a constant current that does not vary with time?

Question 19

For the circuit element shown in Figure 1.15(c), where v_c = 12 V and i_c = -3 A, what is the power, and is the element absorbing or supplying it?

Question 20

The charge that passes through a circuit element is given by q(t) = 0.01 sin(200t) C. What is the current i(t)?

Question 21

What physical quantity is represented by the prefix 'giga-' and what is its scale factor?

Question 22

How is the power delivered to a resistance R related to the current i flowing through it?

Question 23

What is the key characteristic of an ideal conductor in a circuit diagram?

Question 24

What type of source is represented by a diamond-shaped symbol in a circuit diagram?

Question 25

A circuit contains an independent voltage source and a resistor in a single loop. If the source is 10 V and the resistor is 5 Ohm, what is the power delivered by the voltage source?

Question 26

In a simple circuit with a 70 V source, a 20 Ohm resistor, and a 10 Ohm resistor in series, what is the voltage across the 10 Ohm resistor?

Question 27

A current-controlled voltage source has a gain parameter of 3 V/A. If the controlling current, i_x, is 2A, what is the voltage of the source?

Question 28

What is the relationship between the currents i_ab and i_ba for a given circuit element?

Question 29

If the energy w delivered to a circuit element is calculated by integrating power (p) from time t1 to t2, what is the correct formula?

Question 30

In a circuit with three nodes A, B, and C, currents i1 and i2 enter node C, while current i3 leaves node C. Which equation correctly represents KCL at node C?

Question 31

What is the term for the quantity 1/R, where R is resistance, and what are its units?

Question 32

For the circuit in Figure 1.42, with arbitrary references, the analysis yields v_x = -10 V and i_x = 2 A. What is the power for the resistance, p_R?

Question 33

What are the units of voltage, and what fundamental units are they equivalent to?

Question 34

If a circuit element is a battery being charged, what is the sign of the calculated power assuming the passive reference configuration?

Question 35

In a circuit diagram, what does an open switch represent?

Question 36

The scale factor 10^-6 corresponds to which SI prefix?

Question 37

What is the physical basis for Kirchhoff's Current Law (KCL)?

Question 38

A constant current of 2 A flows through a circuit element for 10 seconds. How much net charge passes through the element?

Question 39

In the circuit of Figure 1.25, which equation correctly represents KVL for Loop 1, traveling clockwise starting from the bottom left?

Question 40

What does a negative value for a calculated current, such as i1 = -2 A, signify?

Question 42

What is the primary distinction between a resistor and a resistance?

Question 43

If a circuit element has an applied voltage v(t) = 12 V and a current i(t) = 2e^(-t) A, what is the energy absorbed by the source from t=0 to t=infinity?

Question 44

How is an independent current source with a value of 0 A represented in a circuit when zeroing sources?

Question 45

What is the primary reason an engineer might choose to use arbitrary reference directions and polarities when beginning a circuit analysis?

Question 46

The resistivity of nichrome is 1.12 x 10^-6 Ohm-m and copper is 1.72 x 10^-8 Ohm-m. For two wires of the same length and diameter, how does the resistance of the nichrome wire compare to the copper wire?

Question 47

In the circuit of Example 1.9, if the voltage across the 5 Ohm resistor is 15V, what is the current i_y?

Question 48

What type of waveform is a current that is constant with time, such as i(t) = 2 A?

Question 49

What does a negative value for a calculated voltage, such as v = -5 V, signify?

Question 50

Which of the following is NOT one of the eight major areas of electrical engineering listed in Section 1.1?