In the following figure, C1 and C2 are ideal capacitors.

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In the following figure, C₁ and C₂ are ideal capacitors. C₁ has been charged to 12V before the ideal switch S is closed at t = 0. The curent i(t) for all t is

1. zero
2. a step function
3. an exponentially decaying function
4. an impulse function

Correct Option: D

Time constant = RC
In the given circuit, R = 0
∴ Rise time = 0;
hence capacitor charges instantaneously and current can be represented as impulse function.