1. Tardigrade
  2. Question
  3. Physics
  4. A capacitor of capacitance C charged by an amount Q is connected in parallel with an uncharged capacitor of capacitance 2C. The final charges on the capacitors are

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A capacitor of capacitance C charged by an amount Q is connected in parallel with an uncharged capacitor of capacitance 2C. The final charges on the capacitors are

KCETKCET 2019Electrostatic Potential and Capacitance

Solution:

The two capacitors attain common potential $\left(V_{c}\right)\quad$ given by the relation.
$V_{c}=\frac{Total \,charge}{Total \,Capacitance}=\frac{Q+0}{C+2C}=\frac{Q}{3C}$
The final charges on two capacitors are
$Q_{1}=CV_{c}=\frac{CQ}{3C}=\frac{Q}{3} \, and \, Q_{2}=2 CV_{c}=\frac{2Q}{3}$