Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
Advertisement Remove all ads

A Capacitor of Capacitance C is Given a Charge Q. At T = 0, It is Connected to an Ideal Battery of Emf ε Through a Resistance R. Find the Charge on the Capacitor at Time T. - Physics


A capacitor of capacitance C is given a charge Q. At t = 0, it is connected to an ideal battery of emf ε through a resistance R. Find the charge on the capacitor at time t.

Advertisement Remove all ads



Initial charge given to the capacitor = Q

When the capacitor is connected to a battery, it will charge through the battery. The initial charge will also decay.

The growth of charge across the capacitor due to the battery of emf E,

\[q = CE\left( 1 - e^{- \frac{t}{RC}} \right)\]

The decay of charge through the capacitor,

\[q' = Q e^{- \frac{t}{RC}}\]

The net charge on the capacitor at any time t,

\[q_{net} = q + q'\]

\[ = CE\left( 1 - e^{- \frac{t}{RC}} \right) + Q e^{- \frac{t}{RC}}\]

Concept: Energy Stored in a Capacitor
  Is there an error in this question or solution?
Advertisement Remove all ads


HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 10 Electric Current in Conductors
Q 84 | Page 203
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads

View all notifications

      Forgot password?
View in app×