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A solenoid of 2000 turns is wound over a...

A solenoid of 2000 turns is wound over a length of 0.3 m. The area aof cross section is `1.3 xx 10^(-3) m^(2)`. Around its central seciton, a coil of 300 turns is closely wound. If an initial current of 2 A is reversed in 0.25 s, find the e.m.f induced in the coil .

Text Solution

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Here, `N_(1) = 2000m l = 0.3 m`,
`A = 1.2 xx 10^(-3) m^(2), N_(2) = 300`
`dI = 2 - (-2) = 4 A, dt = 0.25 s, e = ?`
`M = (mu_(0) N_(1) N_(2) A)/(1)`
` (4 pi xx 10^(-7) xx 2000 xx 300 xx 1.2 xx 10^(-3))/(0.3)`
`=3 xx 10^(-3) H`
`|e| = M (dI)/(dt) = 3 xx 10^(-3) xx (4)/(0.25) = 0.048 V`
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