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A capacitor C with plate separation d is charged with ±Q on the two plates. It...

A capacitor C with plate separation d is charged with ±Q on the two plates. It is then connected (at time t = 0) to a resistor R and discharged.

a. What is the time dependence of the charge?

b. What is the power radiated at time t?

c. What is the total energy radiated away?

d. What fraction of the total energy is radiated away?

e. Suppose C = 1 nF,R = 1000 Ω, and d =0 .1 mm. What is the numerical value of the fraction of energy radiated.

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