GATE EE 2020 Set 1 — Question 55
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Electric Circuits → Transient & AC Steady-State → First-Order RL & RC
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Question
A resistor and a capacitor are connected in series to a 10 V dc supply through a switch. The switch is closed at , and the capacitor voltage is found to cross 0 V at , where is the circuit time constant. The absolute value of percentage change required in the initial capacitor voltage if the zero crossing has to happen at is ________ (rounded off to 2 decimal places).
Correct answer
54 to 56
Solution
1.Capacitor Voltage Equation:
The voltage across a capacitor in an RC circuit is given by:where V is the supply voltage, is the initial voltage, and is the time constant.
2.Case 1: Zero crossing at :
V.
3.Case 2: Zero crossing at :
V.
4.Calculate Percentage Change:
Percentage change .The absolute value of the percentage change is .
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