Question

Problem 26.26

A capacitor has a plate area of 0.0055 m2 and a free charge of magnitude q on each plate. The space between plates has been filled with a dielectric that has a bound surface charge of magnitude 4q/5 on either side. When the dielectric material is removed, the electrical breakdown of air is observed between the plates.

Part A

What is the smallest possible value of q if the plates are isolated?

Express your answer to two significant digits and include the appropriate units.

Part B

What is the smallest possible value of q if the plates are connected to a battery?

Express your answer to two significant digits and include the appropriate units.

Answer 1

As we know that;

Here,

A= 0.0055 m

Then,