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

Explanation

Initially the capacitance acts as short circuited and at steady state it acts as open circuit.
Hence, at `t=0`, `i=(2)/(1xx10^(3))=2mA`
At steady state `i=(2)/(2xx10^(3))=1mA`