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GATE EE 2023 Set 1 — Question 51

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NAT+2 / -0HardThevenin's TheoremNetwork TheoremsElectric CircuitsSinusoidal Steady-StateTransient & AC Steady-State

Electric Circuits → Network Theorems → Sinusoidal Steady-State

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Question

For the circuit shown, if i=sin⁡1000ti = \sin 1000t, the instantaneous value of the Thevenin's equivalent voltage (in Volts) across the terminals a-b at time t=5 mst = 5\text{ ms} is __________ (Round off to 2 decimal places).
Circuit with terminals a and b. From a, a branch of 10 ohm in series with -j10 ohm capacitor goes down to b, with current i_x flowing downward through it. The top line from a continues through a dependent voltage source 4 i_x, plus on the left toward a and minus on the right, to a right node. From the right node, a branch of 10 ohm in series with j10 ohm inductor goes down to b, and an independent current source i = sin1000t, arrow pointing up, connects b to the right node.
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