In an AC generator, a coil with N turns, all of the same area A and total resistance R, rotates with frequency ω in a magnetic field B. The maximum value of emf generated in the coil is (a) N. A. B. R.ω (b) N. A. B (c) N. A. B. R. (d) N. A. B.ω

Answer: (d). Flux φ = NBAcos ω t, so e = -(dφ)/(dt) = NBAωsin ω t. Maximum when sin ω t = 1: e₀ = NABω (resistance does not affect emf). So the answer is (d).

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AC Generator & Transformer

In an $AC$ generator, a coil with $N$ turns, all of the same area $A$ and total resistance $R,$ rotates with frequency $\omega$ in a magnetic field $B.$ The maximum value of $emf$ generated in the coil is

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Answer: (d)

Flux $\phi = NBA\cos\omega t$ , so $e = -\frac{d\phi}{dt} = NBA\omega\sin\omega t$ .
Maximum when $\sin\omega t = 1$ : $e_0 = NAB\omega$ (resistance does not affect emf).
So the answer is (d).

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