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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 magnetic field inside the solenoid ?

Text Solution

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Total number of turns, `N = 500`
Length of solenoid , ` l = 0.5 `m
Current, ` I = 5A`
Radius , `r = 1 cm = 1 xx 10^(-2) `m
` B = mu_(0) nI = (mu_(0) NI)/ l `
` B = (4 pi xx 10^(-7) xx 500 xx 5)/(0.5)`
` B = 6.28 xx 10^(-3) T`
Here, ` l/r = (0.5)/(10^(-2)) = 50 `
` :' l gt gt r ` ( an ideal solenoid)
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