Network Theory Mock Test 6

10%

Question 1 of 10

1. Taking the inverse transform of the voltage across the resistor in the circuit shown below is?

Ve^t/τ

Ve^-t/τ

Ve^tτ

Ve^-tτ

Question 1 of 10

Question 2 of 10

2. The value of ‘c’ in complementary function of ‘i’ is?

c = -V/√(R²+(ωL)²) cos⁡(θ-tan^-1(ωL/R))

c = V/√(R²+(ωL)²) cos⁡(θ+tan^-1(ωL/R))

c = V/√(R²+(ωL)²) cos⁡(θ-tan^-1(ωL/R))

c = -V/√(R²+(ωL)²) cos⁡(θ+tan^-1(ωL/R))

Question 2 of 10

Question 3 of 10

3. In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 100cos (103t+π/2), resistance R = 20Ω and inductance L = 0.1H. The complete solution of ‘i’ is?

i = ce^-200t + 0.98cos⁡(1000t-π/2-78.6^o)

i = ce^-200t + 0.98cos⁡(1000t-π/2+78.6^o)

i = ce^-200t + 0.98cos⁡(1000t+π/2+78.6^o)

i = ce^-200t + 0.98cos⁡(1000t+π/2-78.6^o)

Question 3 of 10

Question 4 of 10

4. A single wattmeter is connected to measure the reactive power of a three-phase, three-wire balanced load. The line current is 17A and the line voltage is 440V. Calculate the power factor of the load if the reading of the wattmeter is 4488 VAR.

1.2

0.6

0.8

Question 4 of 10

Question 5 of 10

5. For the function F (s) = (s²+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, the co-efficient of 1/(s+5) is?

3.1

1.1

2.1

4.1

Question 5 of 10

Question 6 of 10

6. In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 100cos (103t+π/2), resistance R = 20Ω and inductance L = 0.1H. The value of c in the complementary function of ‘i’ is?

c = 0.98cos⁡(π/2-78.6^o)

c = 0.98cos⁡(π/2+78.6^o)

c = -0.98cos⁡(π/2+78.6^o)

c = -0.98cos⁡(π/2-78.6^o)

Question 6 of 10

Question 7 of 10

7. Determine the voltage V after taking the inverse transform (12 + 60/s + 10/(s+5)).

12δ(t)-(60-10e^-5t)u(t)

12δ(t)-(60+10e^-5t)u(t)

12δ(t)+(60+10e^-5t)u(t)

12δ(t)+(60-10e^-5t)u(t)

Question 7 of 10

Question 8 of 10

8. The readings of the two watt meters used to measure power in a capacitive load are -3000W and 8000W respectively. Calculate the input power. Assume RYB sequence.

5000

500

Question 8 of 10

Question 9 of 10

9. The inverse transform of the function k/(s+a) is?

ke^-at u(t-a)

ke^at u(t)

ke^at u(t-a)

ke^-at u(t)

Question 9 of 10

Question 10 of 10

10. In the circuit shown below, the switch is closed at t = 0. Applied voltage is v (t) = 400cos (500t + π/4). Resistance R = 15Ω, inductance L = 0.2H and capacitance = 3 µF. Find the roots of the characteristic equation.

-37.5±j1290

37.5±j1290

38.5±j1290

-38.5±j1290

Question 10 of 10