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A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced emf is

Asked in NEET 2014 · Peak and instantaneous EMF

Answer: (4) twice per revolution

Step-by-step solution

As the loop turns, the flux through it varies as φ=BA cos ω t and the emf as

ε=BAω sin ω t.

A sinusoid changes sign wherever it crosses zero, and sin ω t crosses zero twice in each

full cycle: once going up, once coming down.

One revolution is one full cycle, so the emf reverses direction twice per revolution.

This is exactly why a plain rotating loop produces alternating current and needs a commutator to

give direct current.

Why the other options are wrong

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