Question

The plates of a capacitor of capacitance $10\mu F$, charged to $60\mu C$, are joined together by a wire of resistance $10\Omega$ at t = 0, then the charge on the capacitor in the circuit at t = 100 $\mu$s is:

• A. $120\mu C$
• B. $60\mu C$
• C. $22\mu C$
• D. $18\mu C$

Answer 1

The correct option is C $22\mu C$

$Thegivencircuitbecomesthedcr-ccircuitInstantaneousvalueofchargeoncapacitorQQ=Q_0{e}^{\frac{-t}{Rc}}Where{Q}_{0}istheinitialchargeonthecapacitorNowputtingthevalueoft,RandcwegetQ=60\mu C{e}^{\frac{-100}{100}}=22\mu C$