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A solenoid of length 0.5 m has a radius ...

A solenoid of length 0.5 m has a radius of 1 cm and is made up of 500 turns. It carries a current of 5 A. What is the magnitude of the magnetic field inside the solenoid?

A

`6.28 xx 10 ^(-3) T`

B

`3.28 xx 10 ^(-4) T`

C

`2.28 xx 10 ^(-4) T`

D

`4.28 xx 10 ^(-4) T`

Text Solution

Verified by Experts

The correct Answer is:
A
The number of turns per unit length is ,
`n = ( 500)/(0.5) = 1000` turns/m
The length `l = 0.5 m` and radius `r = 0.01 m.`
Thus, `(l)/(a) = 50. i.e., I gt gt a.`
Hence we can use the long solenoid formula, namely,
`B = mu _(0) nl`
` =4pi xx 10 ^(-7) xx 10 ^(3) xx 5`
`= 6.28 xx 10 ^(-3) T`
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