A thick copper wire connected to a voltmeter surrounds a region of time-varying magnetic flux, and the voltmeter reads 6 volts. If instead of a single wire we use a coil of thick copper wire containing 20 turns, what does the voltmeter read

The voltmeter will read 120 volts

Explanation:

For a given magnetic field strength, undergoing a change in flux linkage with time. If a single wire has on it, due to this field an induced EMF of

E = -dΦ/dt

then, increasing the area of the single wire loop by using a wire of the same material containing N number of loops loops will increase the induced EMF to

E = -NdΦ/dt

where E is the induced EMF

N is the number of turns

dΦ/dt is the rate of change of the magnetic flux

From this, we can see that if the voltage reading due to the single thick copper wire is 6 volts, using a coil of thick copper wire containing 20 turns will give a reading of

==> E = 6 x 20 = 120 volts

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