The magnetic flux through a loop of resistance 0.1Ω is varying according to the relation Φ = 6t² + 7t + 1 where Φ is in milliweber and 't' is in second. What is the e.m.f. induced in the loop at t = 1 s and the magnitude of the current?
(Ans: 19mv, 190mA)
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Answer:
19 mV
190 mA
Explanation:
The magnetic flux through a loop of resistance 0.1Ω is varying according to the relation Φ = 6t² + 7t + 1 where Φ is in milliweber and 't' is in second. What is the e.m.f. induced in the loop at t = 1 s and the magnitude of the current?
EMF induced = dΦ/dt
= d(6t² + 7t + 1)/dt
= 12t + 7
at t = 1 , 12 * 1 + 7 = 19
19 mV ( as Φ is in milliweber)
Current = Emf induced/ Resistance
=> Current = 19 mV/0.1 = 190 mA
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