The magnetic flux that passes through one turn of a 26-turn coil of wire changes to 4.5 Wb from 12.0 Wb in a time of 0.034 s. The average induced current in the coil is 150 A. What is the resistance of the wire?

The resistance of the wire is 1.47 ohms

Explanation:

Electromagnetic induction is a physical phenomenon that consists on generate electric current changing magnetic flux. The magnitude of the electromotive force (emf) generated by the change on magnetic flux is given by Faraday-Lenz law:

with N the turns of the coil, and phi_{B} the magnetic flux.

So, in our case because the magnetic flux changes from 12.0 Wb to 4.5 Wb on 0.034 seconds.

The electromotive force acts as voltage source for the coil, so we can use Ohm's law:

with I the current, R the resistance and V the voltage (the emf), solving for R