When the key K is pressed at time t=0, which of the following statements about the current I in the resistor A B of the given circuit is true?

Question

When the key K is pressed at time t=0, which of the following statements about the current I in the resistor A B of the given circuit is true? (A) I=2 mA at all t (B) I oscillates between 1 mA and 2 mA (C) I=1 mA at all t (D) At t=0, I=2 mA and with time it goes to 1 mA

Tardigrade Admin · Accepted Answer

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

Q. When the key $K$ is pressed at time $t = 0$ , which of the following statements about the current $I$ in the resistor $A B$ of the given circuit is true?

$I = 2 m A$ at all $t$

$I$ oscillates between $1 m A$ and $2 m A$

$I = 1 m A$ at all $t$

At $t = 0, I = 2 m A$ and with time it goes to $1 m A$

At time $t = 0$ i.e., when capacitor is charging, current $i = \frac{2}{1000} = 2 m A$
When capacitor is fully charged, no current will pass through it.
Hence, current through the circuit is $i = \frac{2}{2000} = 1 m A$

Q. 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?

I=2mA at all t

I oscillates between 1mA and 2mA

I=1mA at all t

At t=0,I=2mA and with time it goes to 1mA