Q. 33

Expert-verifiedFound in: Page 738

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A -diameter parallel-plate capacitor with a spacing of is charged to . What are

(a) the total energy stored in the electric field and

(b) the energy density?

a. The total energy stored in the electric field is.

b. The energy density is

We have given that A -diameter parallel-plate capacitor with a spacing of is charged to

The total energy stored in a capacitor with capacitance when the potential difference is will be

As the capacitor is a parallel-plate type. So, we can substitute the capacitance as

From the first expression

Putting the values of the constants and variables

We need to find the energy density.

Let us consider the energy density denoted by , then

Using the numerical values in the equation. We get

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