Question

In Fig, initially the capacitor is charged to a potential of 5 V and then connected to position across the inductor at position 2.

The potential across the capacitor after 1 s of its connection to position 1 is

• A. $5(2+\frac{1}{e})V$
• B. $5(2-\frac{1}{e})V$
• C. $5(1+\frac{2}{e})V$
• D. none of these

Answer 1

The correct option is B $5(2-\frac{1}{e})V$

$Decay=V\left(t\right)$

$V\left(t\right)=V_0{e}^{\frac{-t}{RC}}$

$V\left(t\right)=5e^{\frac{-1}{100\ast 0.01}}$

$V\left(t\right)=\frac{5}{e}$

$V_c=V-V\left(t\right)$

$V_c=10-\frac{5}{e}$