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A thick copper wire connected to a voltmeter surrounds a region of time-varying magnetic flux, and the voltmeter reads 10 volts.

If instead of a single wire we use a coil of thick copper wire containing 23 turns, what does the voltmeter read?

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Answer:

230 Volts

Explanation:

Emf of a solenoid is given by

[tex]E=-N\frac{d\phi}{dt}[/tex]

Where,

N = Number of turns

[tex]\phi[/tex] = Magnetic flux

t = Time taken

The negative sign denotes the direction of flow or polarity.

It can be seen that the induce emf is proportional to the number of turns.

So, if the initial voltage was 10 volts at a set number of turns then at 23 volts the emf will be

[tex]E\times N=23\times 10=230\ V[/tex]

230 Volts

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