# A capacitance C,

Energy stored in a capacitor:

The energy stored in a capacitor with capacitance C , charge is given by: where V is the potential difference across the capacitor.

Power supplied by the battery:

If a battery of emf ϵ gives a current I, then the power supplied by the battery is given by: Kirchhoff’s loop rule:

The sum of potential differences around a closed loop is zero.

Potential Difference (V) across a resistor of resistance R when current I passes through it is given by Ohm’s law:  (a)

By Kirchhoff’s loop rule,  As ϵ is constant, At t = 0, there is no charge on the capacitor. Hence . So, Vr is maximum at t = 0. (b) Initially, current flows through the circuit treating capacitor as short-circuit. But as charge accumulates on the capacitor the current reduces with time. It is maximum at t =0.

Using Kirchhoff’s loop rule,  I is max at t = 0 and   (c)

Using Kirchhoff’s loop rule,  As R and ϵ are constant Current is minimum at equilibrium when capacitor acts as an open switch and current is zero. Hence,  (d)

The energy stored by the capacitor is given by: As C is constant, We know from (c) that the maximum potential difference across the capacitor is ϵ. Hence, (e)

Power delivered by the battery is given by: As ϵ is a constant, Using the result from (b), we get  (f)

The resistor converts energy into heat: As R is constant, Now, using the result from (b), Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

A capacitor is maPhysics - Exemplar

A parallel plate Physics - Exemplar

The battery remaiPhysics - Exemplar

A parallel-plate HC Verma - Concepts of Physics Part 2

How many time conHC Verma - Concepts of Physics Part 2

The plates of a cHC Verma - Concepts of Physics Part 2

A capacitor of caHC Verma - Concepts of Physics Part 2