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Solenoid

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why for a short thin solenoid the magnetic field at the end is unI/2 and at the centre is unI

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Q. Assertion :The magnetic field at the ends of a very long current carrying solenoid is half of that at the centre. Reason: If the solenoid is sufficiently long, the field within it is uniform.

Q. A current carrying solenoid, acting as a short bar magnet, produces a magnetic field around it. The distance of a point

P

at its perpendicular bisector is

R

from its centre and another point

A

at its axis is situated at

4R

from its centre. Then find the ratio of magnetic field at

A

to the magnetic field at

P

Q. Obtain an expression for the magnetic field due to a short bar magnet, at a point on its axis at a distance x from its centre considering it as an equivalent of a solenoid.

Q. Q- If we consider the magnetic field of bar magnet is same as the magnetic field of solenoid. Then why the field at the poles of bar magnet is strong than any other point while magnetic field at the ends of solenoid is half of the field at middle?

Q. A long solenoid has

200

turns per cm and carries a current

i

. The magnetic field at its centre is

6.28 \times 10^{- 2} W b m^{- 2}

. Another solenoid has

100

c m

and it carries a current

\frac{i}{3}

. The value of the magnetic field at its centre :

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