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GATE 2024 BM – Question 56

Electrical Circuits · AC Circuits and Resonance · 2 marks · Numerical answer

The shown parallel circuit has L=1 H,C=1 F,R=2 Ω and current source I=sin(t) A. It is in sinusoidal steady state. Find v at t=π/2 s, in volts to two decimals.

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Correct answer: 1.98 to 2.02

Explanation

At angular frequency one radian per second, inductive admittance is −j and capacitive admittance +j, cancelling exactly. Only resistor admittance 1/2 remains, so voltage is v(t)=2sin(t) V. At π/2 this is 2.00 V.

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