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Two ends of an inductor of inductance L is connected to two parallel conducting rails. A conducting wire of length (that is equal to separation between the rails) can slide on the rails without friction. The wire has mass m. It is projected with a velocity `v_(0)` parallel to the rails (see Figure). Neglect self inductance and resistance of the loop. (a) Find velocity of the wire as a function of time. (b) Write current through the wire at time t. (c) Find speed of the wire as a function of its displacement. (d) Is the current in the conductor zero when it stops? If no, find this current . (e) Will the conductor move after it stops? |
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Answer» Correct Answer - (a) `v = v_(0) cos omegat` (b) `i=v_(0) sqrt((m)/(L))sin omega t` where `omega = (Bl)/(sqrt(mL))` (c) `v = sqrt(v_(0)^(2) -(B^(2)l^(2))/(mL)x^(2))` (d) No, `v_(0) sqrt((m)/(L))` (e) Yes |
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