Question

a circular loop of radius rotates with angular frequency in the presence of a unifrom magnetic field of magnitude . what is the maximum induced emf? express in terms of the variables (omega), , (pi), , as needed.

Answer 1

The maximum induced emf on the circular loop is = Bπr²ω.

What is electromotive force?

When no current is flowing, electromotive force (EMF) equals the terminal potential difference.

Despite the fact that both EMF and terminal potential difference (V) are expressed in volts, they are not the same thing. EMF is the quantity of energy (E) that the battery supplies to each coulomb of charge (Q) that passes through.

Let, the radius of the circular loop is = r.

Angular frequency of rotation is = ω.

And, magnitude of uniform magnetic field = B.

Then, magnetic flux; Φ = B·A = Bπr² cosωt

So, induced emf : ε =  dΦ/dt = Bπr²ω sinωt

Hence, the maximum induced emf is = Bπr²ω.

Learn more about electromotive force here:

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