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THE A capacitor has two square plates that are d=1.1 mm apart. Each plate is L x

ID: 1574367 • Letter: T

Question

THE A capacitor has two square plates that are d=1.1 mm apart. Each plate is L x where L-52 cm. The capacitor is initially uncharged. (a) Calculate the work required to move q-7.2 jiC of charge from one plate to the other. (b) Calculate the work required to move an additional 72 C of charge from one plate to the other PAPER SOLUTION INTERPRET DEVELOP In your answers below, type EO to represent o (a) Derive an algebraic expression for the work to move the first (b) Derive an algebraic expression for the work to move the second q EVALUATE

Explanation / Answer

a) Workdone, W1 = energy stored in capacitor

= q^2/(2*C)

= q^2/(2*A*epsilon/d)

= q^2*d/(2*L^2*epsilon)

b) Workdone, W2 = change in energy stored in capacitor

= Ef - Ei

= (2*q)^2*d/(2*L^2*epsilon) - q^2*d/(2*L^2*epsilon)

= 3*q^2*d/(2*L^2*epsilon)