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A long solenoid of radius R carries a time (t)-dependent current I(t)= I_(0)t^(2) (1-t). A conducting ring of radius 3R is placed co-axially near its middle. During the time interva 0 le t le 1, the induced current (I_(R )) in the ring varies as: [Take resistance of ring to be R_(0)] |
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Answer»
`phi= BA = mu_(0) n I pi R^(2)` `V_(R )= (d phi)/(DT) = -mu_(0)n pi R^(2) (dI)/(dt)= -mu_(0)n pi R^(2) I_(0) (2T- 3t^(2))` `I_(R )= (V_(R ))/(R_(0)) = -(mu_(0)piR^(2)I_(0))/(R_(0)) (2t- 3t^(2))` `I_(R )= - (1)/(R_(0))mu_(0)pi R^(2) I_(0)t (2-3t)` `I_(R )= 0 " at " t= 0 and t= (2)/(3)` 
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