I need a bit of a help towards this problem in Physics...

Question

Electric Potential Energy and Electric Potential:

A capacitor has a capacitance of 1000 𝜇𝐹 which is connected to a battery of 1.5 𝑉. If the conductive plate has an area of 5 𝑐𝑚2 with a vacuum between them, then what is the distance between them?

Answer 1

Hi there!

We can solve this using the formula for the capacitance of a parallel-plate capacitor

C = ε₀ A / d

Where

C = capacitance in F

ε₀ = 8.85e-12 F / m

A = Area of plate in m

d = distance between plates in m

Convert the area to m² , plug in the values into the above formula for d, and you will have your answer.

It's a bit tricky because they also gave you voltage, which is not needed to find the distance. If you wanted to find the charge collected on the capacitor, then voltage will be useful