Question 1

Which statement best describes the dual relationship between voltage sources and current sources in a network?

Accepted Answer

A voltage source determines the voltage across its terminals, while a current source determines the current through its branch.

Question 2

Refer to the circuit with a 7 A current source, a 12 V voltage source, and a 4 Ω resistor. What is the voltage $$V_s$$ across the current source?

Accepted Answer

$$V_s = 40\ 	ext{V}$$

Question 3

In the circuit with a 7 A current source, a 12 V voltage source, and a 4 Ω resistor, what is the current $$I_2$$ through the resistor?

Accepted Answer

$$I_2 = 3$$\ 	ext{A}$$

Question 4

Which equation represents the conversion of a voltage source with series resistance to an equivalent current source with parallel resistance?

Accepted Answer

$$I = \frac{E}{R_s}$$\ and\ $$R_p = R_s$$

Question 5

Why can't current sources of different values be placed in series?

Accepted Answer

Because it would violate Kirchhoff’s current law.

Question 6

Given three parallel current sources of 6.2 A, 1.2 A, and 0.8 A, what is the equivalent current source?

Accepted Answer

$$I_{eq} = 8.2\ 	ext{A}$$

Question 7

In mesh analysis, how many mesh currents are required for a network with 3 windows?

Accepted Answer

3 mesh currents

Question 8

For the circuit with $$E_1 = 4$$\ 	ext{V}$$, E_2$ = 6\ 	ext{V}$$, $$R_1 = 4$$\ \Omega$$, R_2$ = 2\ \Omega$$, and $$R_3 = 8$$\ \Omega$$, what is the mesh equation for the left loop?

Accepted Answer

$$4I_1 + 8(I_1$ - I_2$) = 4$$

Question 9

In nodal analysis, if a network has 5 nodes, how many nodal voltages must be determined?

Accepted Answer

4 nodal voltages

Question 10

A bridge network is balanced when which condition is satisfied?

Accepted Answer

$$\frac{R_1$}{R_3$} = \frac{R_2$}{R_4$}$$

Question 11

For a delta ($$\Delta) $$network with resistors $$R_A$$, $$R_B$$, and $$R_C$$, what is the formula for converting to a wye ($$Y) $$network resistor $$R_1$$?

Accepted Answer

$$R_1$$ = \frac{R_B R_C}{R_A + R_B + R_C}$$

Question 12

If all resistors in a delta network have the same value $$R_\Delta$$, what is the equivalent resistor value in the wye network?

Accepted Answer

$$R_Y = \frac{R_\Delta}{3}$$

Question 13

For a wye ($$Y) $$network with resistors $$R_1$$, $$R_2$$, and $$R_3$$, what is the formula for converting to a delta ($$\Delta) $$network resistor $$R_A$$?

Accepted Answer

$$R_A = \frac{R_1$ R_2$ + R_1$ R_3$ + R_2$ R_3$}{R_1$}$$

Question 14

In a practical scenario, why is it important to consider internal resistance when converting sources?

Accepted Answer

Internal resistance affects the equivalence at the external terminals.

Question 15

A circuit contains a 12 V voltage source, a 10 Ω resistor, a 5.6 Ω resistor, a 2 A current source, and a 91 Ω resistor. What is the current through the 91 Ω resistor ($$I_3$$)?

Accepted Answer

$$I_3 = 0.13$$\ 	ext{A}$$

Question 16

In mesh analysis, what is the advantage of using the supermesh approach?

Accepted Answer

It simplifies the analysis of circuits with current sources shared between meshes.

Question 17

In nodal analysis, what is the purpose of the supernode approach?

Accepted Answer

To analyze circuits with voltage sources between two non-reference nodes.

Question 18

A bridge network is used in a Wheatstone bridge for measuring unknown resistances. If the bridge is balanced, what is the current through the central branch?

Accepted Answer

$$I = 0\ 	ext{A}$$

DC Circuit Analysis: Source Conversions, Mesh & Nodal Analysis, Bridge Networks, and Y-Δ Conversions

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