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 in

Question

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?

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Helga 5 months 2021-08-22T00:29:58+00:00 1 Answers 6 views 0

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    2021-08-22T00:31:14+00:00

    Answer:

    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:

    \xi=N\mid \frac{d\varphi_{B}}{dt} \mid

    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.

    \xi=25\mid \frac{4.5 - 12.0}{0.034} \mid =220.59 V

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

    V=IR

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

    R=\frac{\xi}{I}= \frac{220.59}{150}

     R=1.47 \Omega

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