Network Theory Mock Test 4

10%

Question 1 of 10

1. Determine Z₂₁, Z₂₂, Z₂₃ in the circuit shown below.

-5Ω, (5+j1) Ω, j6 Ω

-5Ω, (5-j1) Ω, j6 Ω

5Ω, (5-j1) Ω, j6 Ω

-5Ω, (5-j1) Ω, - j6 Ω

Question 1 of 10

Question 2 of 10

2. In the circuit shown below we get a nodal equation as (1/3+1/j4-1/j6)V_a—(-1/j6)V_b=x. Find the value of ‘x^''.

(10∠0^o)/3

- (5∠0^o)/3

- (10∠0^o)/3

(5∠0^o)/3

Question 2 of 10

Question 3 of 10

3. For the series resonant circuit given below, the bandwidth is ____________

±225 Hz

±351 Hz

±796 Hz

±531 Hz

Question 3 of 10

Question 4 of 10

4. For the parallel resonant circuit given below, the value of the inductive and capacitive reactance is _________

X_L = 785.394 Ω; X_C = 785.417 Ω

X_L = 654.289 Ω; X_C = 458.216 Ω

X_L = 985.457 Ω; X_C = 875.245 Ω

X_L = 125.354 Ω; X_C = 657.215 Ω

Question 4 of 10

Question 5 of 10

5. Consider a circuit consisting of two capacitors C₁ and C₂. Let R be the resistance and L be the inductance which are connected in series. Let Q₁ and Q₂ be the quality factor for the two capacitors. While measuring the Q value by the Series Connection method, the value of the Q factor is?

Q = \(\frac{(C_1 - C_2) Q_1 Q_2}{Q_1 C_1-Q_2 C_2}\)

Q = \(\frac{(C_1 - C_2) Q_1 Q_2}{Q_2 C_2-Q_1 C_1}\)

Q = \(\frac{(C_2 - C_1) Q_1 Q_2}{Q_1 C_1-Q_2 C_2}\)

Q = \(\frac{(C_2 - C_1) C_1 C_2}{Q_1 C_1-Q_2 C_2}\)

Question 5 of 10

Question 6 of 10

6. In the following circuit. Find the power output of the source.

Question 6 of 10

Question 7 of 10

7. Find the voltage V_ab in the circuit shown below.

21.66∠-45.02⁰

20.66∠-45.02⁰

21.66∠45.02⁰

20.66∠45.02⁰

Question 7 of 10

Question 8 of 10

8. For the series resonant circuit given below, the value of the inductive and capacitive reactance is _________

X_L = 6.282 kΩ; X_C = 6.282 kΩ

X_L = 2.168 kΩ; X_C = 2.168 kΩ

X_L = 10.682 kΩ; X_C = 10.682 kΩ

X_L = 5.826 kΩ; X_C = 5.826 kΩ

Question 8 of 10

Question 9 of 10

9. Find the common impedances Z₁₂, Z₁₃, Z₂₁, Z₂₃, Z₃₁, Z₃₂ respectively in the circuit shown below.

j3Ω, 0Ω, -j3Ω, j5Ω, 0Ω, j5Ω

j3Ω, 0Ω, -j3Ω, -j5Ω, 0Ω, j5Ω

-j3Ω, 0Ω, -j3Ω, j5Ω, 0Ω, j5Ω

j3Ω, 0Ω, -j3Ω, j5Ω, 0Ω,- j5Ω

Question 9 of 10

Question 10 of 10

10. If Z_S=R_S+jX_S, Z_L=R_L, then condition for maximum power to be transferred is?

R_L=-|Z_S|

R_L=Z_S

R_L=|Z_S|

R_L=-Z_S

Question 10 of 10