Answered: What is the potential energy of a…

Engineering

Electrical Engineering

What is the potential energy of a capacitor if it's connected to a 20V power supply, and has a capacitance of 20UF?

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter19: Capacitors

Section: Chapter Questions

Problem 2PP: Two capacitors having values of 80 F and 60 F are connected in series. What is the total...

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Concept explainers

Capacitor

The capacitor is an element used to store electrical energy in the electrical field. A capacitor is a form of passive energy.

Question

What is the potential energy of a capacitor if it's connected to a 20V power supply, and has a
capacitance of 20UF?

Expert Solution

Step 1

Potential Energy:

Whenever we store an energy we term it as potential Energy

Lets go through a graph which is between voltage vs charge

Where Voltage=Joules/Coulomb

Charge=coulombs

Lets find the Area of a triangle

U_c= $\frac{1}{2} \times V \times Q$

Where Q=CV

U_c= $\frac{1}{2} \times V \times C \times V$

U_c= $\frac{1}{2} \times C \times V^{2}$

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