Network Theory Practice Test 2

1. Find the voltage across 2Ω resistor in the circuit shown below using Superposition theorem.

2. If two networks have same graph with different type of elements between corresponding nodes, then?

\(\Sigma^{b}_{k=1}\)V1ki2k ≠ 0, \(\Sigma^{b}_{k=1}\)V2ki1k = 0

\(\Sigma_{k=1}^{b}\)V1ki2k ≠ 0, \(\Sigma^{b}_{k=1}\)V2ki1k ≠ 0

\(\Sigma^{b}_{k=1}\)V1ki2k = 0, \(\Sigma^{b}_{k=1}\)V2ki1k = 0

\(\Sigma^{b}_{k=1}\)V1ki2k = 0, \(\Sigma^{b}_{k=1}\)V2ki1k ≠ 0

3. According to Millman’s Theorem, if there are n current sources with n internal conductances respectively, are in series, then the value of equivalent current source is?

I’=I₁/R₁+I₂/R₂+⋯.+I_n/R_n

I^'=((I₁R₁+I₂R₂+⋯.+I_nR_n))/(R₁+R₂+⋯R_n)

I’=((I₁/R₁+I₂/R₂+⋯.+I_n/R_n))/(R₁+R₂+⋯R_n)

I’=I₁R₁+I₂R₂+⋯.+I_nR_n

4. For the circuit given below, the Norton’s resistance across the terminals A and B is _____________

1.1 kΩ

5 Ω

1.5 kΩ

7 kΩ

5. In the circuit given below, the maximum power delivered to the load is ___________

4.2 W

3.2 W

5.2 W

3 W

6. To check for the Reciprocity Theorem we consider ______ of response to excitation.

addition

subtraction

ratio

product

7. In the following circuit, the value of open circuit voltage and the Thevenin resistance between terminals a and b are ___________

V_OC = 100 V, R_TH = 90 Ω

V_OC = 100 V, R_TH = 1800 Ω

V_OC = 0 V, R_TH = 270 Ω

V_OC = 0 V, R_TH = 90 Ω

8. For the circuit shown, the resistance R is variable from 2Ω to 50Ω. What value of R_S results in maximum power transfer across terminals ‘ab’.

9. Given a wire of resistance R Ω. The resistance of a wire of the same material and same weight and double the diameter is ___________

0.25 R

0.125 R

0.0625 R

0.5 R

10. Find the voltage across 2Ω resistor due to 20V source in the following circuit.

1.5

0.5