Network Elements and the Concept of Circuit
- Maximum power form a source having internal resistance Ri is delivered to a resistive load RL if—
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NA
Correct Option: A
NA
- The time constant of the circuit—
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Time constant of the RC circuit can be calculated by replacing all the energy sources to their internal resistance and calculate the equivalent resistance as viewed from the terminal through which capacitor as connected i.e. A and B.
The equivalent circuit is given below:
R eq = 30 || (10 + 20)
or R eq = 15 Ω
Time constant (τ)=Req. C = 15 CCorrect Option: B
Time constant of the RC circuit can be calculated by replacing all the energy sources to their internal resistance and calculate the equivalent resistance as viewed from the terminal through which capacitor as connected i.e. A and B.
The equivalent circuit is given below:
R eq = 30 || (10 + 20)
or R eq = 15 Ω
Time constant (τ)=Req. C = 15 C
- The resonant frequency of the circuit—
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The resonant frequency is given by = 1 2π√LeqC
L eq = L1 + L2 + 2M = 10 mH + 5mH + 2 × 2 mH
or L eq = 19 mH
C = .01 µFSo, f = 1 2π√19 × 10–3 × .01 × 10–6 f = 105 Hz 2π√1.9 Correct Option: A
The resonant frequency is given by = 1 2π√LeqC
L eq = L1 + L2 + 2M = 10 mH + 5mH + 2 × 2 mH
or L eq = 19 mH
C = .01 µFSo, f = 1 2π√19 × 10–3 × .01 × 10–6 f = 105 Hz 2π√1.9
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If the L.T. of the voltage across a capacitor of value 1/2 F is V1 (s) = s + 1 then value of the current through the capacitor at t = 0+ is— s3 + s2 + s + 1
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Given Vc (s) = s + 1 s3 + s2 + s + 1 Vc (0+) = 0 + 1 = 1 0 + 0 + 0 + 1 I = (d VC 10t) = 1 dt = lim IC(0+) t→0 = lim sIC(s) s→0 = lim s2c[VC(O+)] = O.A s→0
Hence alternative (C) is the correct choice.Correct Option: C
Given Vc (s) = s + 1 s3 + s2 + s + 1 Vc (0+) = 0 + 1 = 1 0 + 0 + 0 + 1 I = (d VC 10t) = 1 dt = lim IC(0+) t→0 = lim sIC(s) s→0 = lim s2c[VC(O+)] = O.A s→0
Hence alternative (C) is the correct choice.
- The Laplace transform of a function f(t) u(t), where f (t) is periodic with period T, is A(s) times the L.T. of its first period. Then—
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Laplace transform of a periodic wave is given by the relation
A (s) = 1 1 – e–Ts
where, T = time period of the given waveCorrect Option: B
Laplace transform of a periodic wave is given by the relation
A (s) = 1 1 – e–Ts
where, T = time period of the given wave
