FYKOS Year 38 Series 1 Problem 5 — a tense capacitor · FYKOS 38 #38.1.5

Physics · mechanics · electromagnetism

Problem

Let us consider a plate air capacitor whose plates are connected to the rest of the circuit with springs of stiffness

k

. In the resting position, the plates are at a distance

d

and have an area

A

(

A \gg d^2

). We start charging the capacitor so that the plates begin to attract each other and get closer. Determine the work necessary to charge the capacitor to a charge

Q

. What is the maximal voltage that we can create between the plates?

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