Two coils have a mutual inductance of 0.01H. The current in the first coil changes according to equation I=5 sin ⁡200 πt. The maximum value of e.m.f. induced in the second coil is

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Correct answer: A. (a) The emf induced in the second coil is e=-M dI dt where M is the mutual inductance and dI dt is the rate of change of current in the first coil. Given, I=5 sin ⁡200 πt ∴ dI dt=-5 200 πcos ⁡200 πt=-1000 πcos ⁡200 πt =1000 πsin ⁡(200 πt- 2)….(i) From equation (i), e=0.01 1000 πsin ⁡ (200 πt- /2 )=10 πsin ⁡(200 πt- z) For maximum value of the induced emf, sin ⁡ (200 πt- /2 )=1 ∴ e_ max=10 πV

$Two coils have a mutual inductance of 0.01 H . The current in the first coil changes according to equation I = 5 sin 200 πt . The maximum value of e.m.f. induced in the second coil is$

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