How do I work out induction problems?
The magnetic field inside a 20 cm diameter solenoid is increasing at the rate of 2.4 T/s. How many turns should a coil wrapped around the outside of the solenoid have so that the emf induced in the coil is 15 V?
emf = N(dΦ/dt) = NA(dB/dt)
N = emf / A(dB/dt) = (15) / π(0.1)²(2.4)
= 199
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