In the circuit shown, when the key $k $ is pressed at time $t = 0$, which of the following statements about current $I$ in the resistor $AB $ is true
A$I = 2\,mA$ at all $t$
B$I$ oscillates between $1$ $mA$ and $2$ $mA$
C$I = 1$ $mA$ at all $t$
DAt $t = 0$, $I$ $=$ $2\,mA$ and with time it goes to $1$ $mA$
Diffcult
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DAt $t = 0$, $I$ $=$ $2\,mA$ and with time it goes to $1$ $mA$
d When $\mathrm{k}$ is pressed at $t=0,$ the capacitor will start charging through resistor in between $A$ and $B$ and no current will flow through resistor on the right.
Thus, at $t=0$ the current, $I=\frac{2}{1000}=2 m A$
After long time the charging will stop and current will flow through both resistors.
now current is $I=\frac{2}{1000+1000}=1 \mathrm{m} \mathrm{A}$
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