Figure shows an ac generator. It consists of a rectangular loop of dimensions a and b with

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Figure shows an ac generator. It consists of a rectangular loop of dimensions a and b with N turns connected to slip rings. The loop rotates with an angular velocity ? in a uniform magnetic field B.

(a) Show that the potential difference between the two slip rings is E = NBab? sin wt.

(b) If a = 1.0 cm, b = 2.0 cm, N = 1000, and B = 2 T, at what angular frequency ? must the coil rotate to generate an emf whose maximum value is 110 V?

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