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Question

If we double the number of turns per unit length for a solenoid, then the magnetic field along the axis of the solenoid ___________.

A
will decrease
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B
will increase
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C
cannot be predicted
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D
will remain same
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Solution

The correct option is B will increase
We can say that, a solenoid is made up of many current carrying circular loops. The magnetic field at the centre of a loop is a straight line due to the sum of the components of magnetic fields at the centre due to different parts of the loop.

When we take a coil having n turns for a given length, the magnetic field at the axis is the sum of magnetic fields from each loop of the coil. Now if we take a solenoid with 2n turns for the same length, then the magnetic field will be double the previous value. Hence, the magnetic field will increase.


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