# arrow_back How many turns of wire must a coil have in order to induce a voltage of 10.5 volts when exposed to a changing magnetic flux with a rate of 0.0075 Wb/s?

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How many turns of wire must a coil have in order to induce a voltage of 10.5 volts when exposed to a changing magnetic flux with a rate of 0.0075 Wb/s?

From Faraday's Law, the emf, ε , induced around a single loop of conductor is proportional to the rate of change of the magnetic flux, Φ, through the area, A , of the loop.

ε = -N . (ΔΦ / Δt)

This implies that     -N = ε/(ΔΦ / Δt)

N = -ε/(ΔΦ / Δt) = 10.5/0.0075 = -1400

Number of turns in the coil = 1400 turns
by Diamond
(48,390 points)

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