An engineer is designing a high-voltage supply that contains three capacitors…

PHYSICS · Multi-part · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

An engineer is designing a high-voltage supply that contains three capacitors connected in series:

C_{x}=2.0\,\mu\text{F}

C_{y}=3.0\,\mu\text{F}

, and

C_{z}=5.0\,\mu\text{F}

. The goal is to store exactly

0.10\,\text{J}

of energy in capacitor

C_{x}

once the system has reached electrostatic equilibrium. (a) Derive an algebraic expression for the potential difference across each capacitor in terms of the battery voltage

V_{0}

and the three capacitances. (b) Using the target energy requirement for

C_{x}

, calculate the value of

V_{0}

that must be applied by the battery. (c) For that battery voltage, determine the energy stored in

C_{y}

and in

C_{z}

. (d) Show explicitly that the total energy stored in the three capacitors equals the work done by the battery during charging.

Related theory

Browse the problem library