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Find the current in the sliding rod AB (resistance = R) for the arranged shown in Fig. B is constant and is out of the paper. Paralllel wires have no resistance. `upsilon` is constant. Switch is closed at time t = 0. |
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Answer» Proceeding as in Q.29 above, `- L (dI)/(dt) + B upsilon d = IR` or `L (dI)/(dt) + IR = B upsilon d` `:. I = (B upsilon d)/(R ) + A e^(-Rt//L)` where A is an arbitrary constant. At t = 0, I = 0 `:.` From (i), `A = - (B upsilon d)/(R )` Putting this value of A in (i), we get `I = (B upsilon d)/(R ) = (B upsilon d)/(R ) e^(-Rt//L) = (B upsilon d)/(R ) (1 - e^(-Rt//L))` This is the required current in sliding rod AB. |
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