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Q. 33

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 738

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Short Answer

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

See the step by step solution

Step by Step Solution

Part (a) step: 1 Given information 

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

Part (a) step: 2 Simplify

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

Part (b) Step:1 Given information

We need to find the energy density.

Part (b) step: 2 Simplify

Let us consider the energy density denoted by , then

Using the numerical values in the equation. We get

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