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$I = 2 \,mA$ 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 $1 \,mA$
AIPMT 1995,AIIMS 2008, Medium
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DAt $t = 0$ , $I = 2 \,mA$ and with time it goes to $1 \,mA$
d (d) At time $t = 0$ i.e. when capacitor is charging, current $i = \frac{2}{{1000}} = 2\,mA$
When capacitor is full charged, no current will pass through it, hence current through the circuit $i = \frac{2}{{2000}} = 1\,mA$
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