How much time does it take for the current to decay to half of its initial value in the following charging circuit?

  • A
    $t = \log_e 2$
  • B
    $t = \log_e(1/2)$
  • C
    $t = RC \log_e 2$
  • D
    $t = RC \log_e(1/2)$

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Similar Questions

In the circuit shown in the diagram,the capacitances of the capacitors $C_1$,$C_2$,and $C_3$ are $4\ \mu F$,$6\ \mu F$,and $12\ \mu F$ respectively. The switch $S$ remains closed for a long time. When the switch $S$ is opened,which of the following statements will be correct about the current flowing through the battery $B$?

Two identical capacitors $A$ and $B$ are charged to the same potential $V$ and are connected in two circuits at $t = 0,$ as shown in the figure. The charge on the capacitors at time $t = CR$ are respectively:

In the following circuit,the switch $S$ is closed at $t = 0.$ The charge on the capacitor $C_1$ as a function of time will be given by $\left( {{C_{eq}} = \frac{{{C_1}{C_2}}}{{{C_1} + {C_2}}}} \right).$

Find the charge on the capacitor $C = 2 \, \mu F$ in the given circuit in $\mu C$.

$A$ capacitor is a perfect insulator for

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