GATE EE 2019 Set 1 — Question 51
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Power Systems → Power System Stability → Swing Equation & Power-Angle
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Question
A capacitor charged to is discharged through a resistor. The time in ms (round off to two decimal places) required for the voltage across the capacitor to drop to is ______.
Correct answer
0.45 to 0.47
Solution
When a charged capacitor discharges through a resistor, the capacitor voltage decays exponentially:Step 1: Time constantStep 2: Apply the decay equation
With and :Step 3: Solve for Rounded off to two decimal places, ms.Answer: ms
With and :Step 3: Solve for Rounded off to two decimal places, ms.Answer: ms
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