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When the key k is pressed at time t=0, w...

When the key `k` 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.

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.

Text Solution

Verified by Experts

The correct Answer is:
A

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
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