What is the Electromotive Force Induced in a Moving Coil in a B-field?

[MrPacane]

Homework Statement

A 25-turn coil has a radius of 1 cm and it is carrying a current of 1 A. The coil is in a constant B-field of 1 T (directed along the coil's axis). The coil is moving perpendicularly to the B-field at a speed of 1 m/s.

a) Is there an Electromotive force induced in the coil?
b) How much electrical power needs to be provided to the coil under the operating conditions described?

Homework Equations

- Faraday's Law of Induction
- Lorentz Force Law

The Attempt at a Solution

a) I don't think there is an emf induced in the coil because its cross-sectional area stays the same, and there's no variation of the B-field.
b) Normally, I would use P = I²R but the resistance of the coil is not given...

Am I correct?

Thanks!

 

[BruceW]

question 'a' is a tricky one. You need to try again. There is a motional emf. Think of the charge carriers in the wire, and what is their velocity, therefore should they experience an emf due to the magnetic field?

And for part b) I'm not certain what they mean. You cannot calculate the power due to the 'original' current of 1 amp. So maybe they want you to do a calculation using the answer of part a)