When the key `E` is pressed at time `t = 0`, which of the following statements about the current `I` in the resistor `AB` of the given circuit is true.

Options

A. `I = 2 mA` at all `t`
B. `I` oscillates between `1 mA` and `2 mA`
C. At `t = 0, I = 2 mA` and with time it goes to `1 mA`
D. `I = 1 mA` at all `t`

Answer

D

Explanation

(d) At time `t = 0`, i.e., when capacitor is charging, current `I = (2)/(1000) = 2 mA`
When capacitor is full charged, no current will pass
through it hence current through the circuit `I = (2)/(2000) = 1 mA`