Rankers Physics
Topic: Capacitors
Subtopic: Charging and Discharging of Capacitors

When the key K is pressed at t = 0, which of the following statements about the current I in the resistor AB of the given circuit is true ? Image related to
I = 2 mA at all t
I oscillates between 1 mA and 2 mA
I = 1 ma at all t
at t = 0, I = 2mA and with time it goes to 1 mA

Solution:

At t =0 capacitor behaves as closed circuit to the 1000 ohm resistor connected in parallel with capacitor will get short circuited.

current  through the other resistor = 2/1000 = 2mA

At t = infinite capacitor behaves as open circuit so equivalent resistance becomes R=1000+1000 = 2000 Ohm

current  through the  resistor = 2/2000 = 1 mA

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