Consider a capacitor whose plates are squares 10 cm on a side separated by a 1.0-mm gap filled with air. (a) What is the maximum charge we can put on these plates before a spark will fly? (b) What energy is released by the spark when it does fly?

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How do I determine the maximum voltage on a capacitor?

I'm given the area (10 cm2) and separation (1.0 mm), so I can figure out the capacitance, and the problem asks for the maximum charge on one plate.

Because this isn't enough information, this is the textbook problem I'm trying to do:

Consider a capacitor whose plates are squares 10 cm on a side separated by a 1.0-mm gap filled with air.

(a) What is the maximum charge we can put on these plates before a spark will fly?

(b) What energy is released by the spark when it does fly?

Expert Solution
Step 1

Given that the capacitor with side 10cm has area of capacitor and distance between the plates is,

A=100cm2=100×10-4m2    (1)d=1×10-3m                     (2)

 

Additional data required is the breakdown voltage of the air which is,

Vb=3×106 V/m     (3)

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