Exercise: Networks Analysis And Synthesis

Questions for: Networks Analysis And Synthesis

Assertion (A): The impedance of a series resonant circuit is minimum at resonance.

Reason (R): Resonance condition implies unity power factor condition.

A:
Both A and R are true and R is correct explanation of A
B:
Both A and R are true and R is not the correct explanation of A
C:
A is true but R is false
D:
A is false but R is true
Answer: A

Since power factor is unity, impedance is minimum.

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A current wave is i = 100e-60t The initial and final values of current are
A:
100 and 50
B:
100 and 0
C:
0 and 100
D:
100 and 100
Answer: B

i(0) = 100 e-0 = 100, i(∞) = 100 e-∞ = 0.

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If operator 'a' = 1 ∠120° then (1 + a) =
A:
-a
B:
-a2
C:
a
D:
-1
Answer: B

Since 1 + a + a2 = 0, 1 + a = - a2.

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In figure, the total power consumed is
A:
10 W
B:
12 W
C:
16 W
D:
20 W
Answer: A

Use superposition theorem.

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The circuit in figure, is to be scaled to an impedance level of 5kΩ and resonant frequency of 5 x 106 rad/sec. The possible combination of R, L, C is
A:
2.5Ω, 0.2 mH, 200 pF
B:
5 kΩ, 0.2 mH, 200 pF
C:
5 kΩ, 0.2 mH, 200 μF
D:
5 kΩ, 0.1 mH, 0.4 μF
Answer: B

If L = 0.2 mH and C = 200 pF, ω0 = 5 x 106 rad/sec and if R is 5 kΩ, impedance level is 5 kΩ.

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