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. It is 2 mA at all times.
B. It is oscillates between 1 mA and 2 mA
C. It is 1 mA at all times.
D. A `t = 0, 1 = 2 mA` and with time it finally reduces to 1 mA.

Answer

A

Explanation

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