Home
Class 12
PHYSICS
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

Verified by Experts

(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`.
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC PROPERTIES OF MATTER

    HC VERMA|Exercise Worked out|6 Videos

  • MAGNETIC PROPERTIES OF MATTER

    HC VERMA|Exercise Short Answer|9 Videos

  • MAGNETIC FIELD DUE TO CURRENT

    HC VERMA|Exercise exercise|61 Videos

  • OPTICAL INSTRUMENTS

    HC VERMA|Exercise Exercises|23 Videos

Similar Questions

Explore conceptually related problems

Find the magnetic field B at the centre of a rectangular loop of length l and width b, carrying a current i.

The magnetic intensity H at the centre of a long solenoid carrying a current of 2.0 A , is found to be 1500 A m^(-1) . Find the number of turns per centimetre of the solenoid.

Show that the magnetic field at any point on the axis of the solenoid having n turns per unit length is B = (1)/(2) mu_(0) n I (cos theta_(1) - cos theta_(2)) .

A tightly-wound, long solenoid having 50 turns cm^(-1) , carris a current of 4.00 A . Find the magnetic intensity H and the magnetic field B at the centre of the solenoid. What will be the values of these quantities if an iron core is inserted in the solenoid and the magnetization I in the core is 4.00 xx 10^6 A m^(-1) ?

A long solenoid has 200 turns per cm. and carries a current of 2.5 amps. The magnetic field at its centre is (muo=4pixx10^-7wber//amp-m) …

The magnetic field inside a long solenoid having 50 turns cm^(-1) is increased from 2.5 xx 10^(-3) T to 2.5 T when an iron core of cross-sectional area 4 cm^2 is inserted into it. Find (a) the current in the solenoid, (b) the magnetization I of the core and (c) the pole strength developed in the core.

A tightly- wound, long solenoid is kept with its axis parallel to a large metal sheet carrying a surface current. The surface current through a width dl of the sheet is Kdl and the number of turns per unit length of the solenoid is n. The magnetic field near the centre of the solenoid is found to be zero. (a) find the current in the solenoid. (b) If the solenoid is rotated to make its axis perpendicular to the metal sheet, what would be the magnitude of the magnetic field near its centre?

A tightly-wound, long solenoid has n turns per unit length, a radius r and carries a current i. A particle having charge q and mass m is projected from a point on the axis in a direction perpendicular to the axis. What can be the maximum speed for which the particle does not strike the solenoid?