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What amount of heat will be generated in a coil resistance `R` due to a charge `q` passing through it if the current in the coil decreases down to zero uniformly during a time interval `Deltat` ?A. `4/3 (q^2R)/T`B. `1 n ((q^2R)/(2T))`C. `(2q^2R)/(3T)`D. `1 n ((2T)/(q^2R))` |
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Answer» Correct Answer - A a. `I = I_0 - kt, "at" t = T, I = 0 or k = I_0//T` So `I = I_0-I_0t//T, q = int_(0)^(T) Idt = I_(0) int_(0)^(T) (1- t/T) dt` or `q = (I_0T)/2 or I_0 = (2q)/T` Heat = `int_(0)^(T) I^(2) Rdt = I_(0)^(2)R int_(0)^(T) (1-t/T)^2 dt = (4q^2R)/(3T)` . |
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