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Find the magnetic intensity H at the cen...

Find the magnetic intensity `H` at the centre of a long solenoid having `n` turns per unit length and carrying a current `i` (a) when no material is kept in it and (b) when a long copper rod is inserted in the solenoid.

Text Solution

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(a) When there is no rod, the magnetic field at the centre of the solenoid is given by
`B = mu_0 ni`.
The magnetic intensity is
`H = B/(mu_0) = ni`.
(b) As the solenoid and the rod are long and we are interested in the magnetic intensity at the centre, the end effects may be neglected. There is no effect of the rod on the magnetic intensity at the centre. Its value in both cases are the same. Thus `H = ni`.
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