GATE EC 2019 Set 1 — Question 62
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Analog Circuits → Diode Circuits → RL, RC & RLC Transients
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Question
In the circuit shown, is a 10 V square wave of period, ms with and . The capacitor is initially uncharged at , and the diode is assumed to be ideal. The voltage across the capacitor () at 3 ms is equal to ______ volts (rounded off to one decimal place).
Correct answer
3.2 to 3.4
Solution
1.Identify Circuit Parameters:
- Input is a square wave with peak values V and V.
- Period ms, so the half-period ms.
- Resistance , Capacitance .
- Time constant s = 5 ms.
- V. The diode is forward biased (ON).
- The capacitor charges towards 10 V: .
- At ms: V.
- V.
- The voltage at the anode is V, and the voltage at the cathode is V.
- Since , the diode is reverse biased (OFF).
- In an ideal diode scenario with no discharge path, the capacitor retains its charge.
- Therefore, V.
- Rounding to one decimal place, V.
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