Question

In: Physics

An ideal solenoid holds a current ?. Use Ampere’s Law to show that the magnetic field...

An ideal solenoid holds a current ?. Use Ampere’s Law to show that the magnetic field strength inside the solenoid is ?=?0??.

Expert Solution

n = number of turns per unit length

L = length considered

I = total current

consider a ampere's closed loop PQRS

B. dl = B. dl Cos0 = B L

B. dl = B. dl Cos90 = 0

B. dl = (0). dl = 0

B. dl = B. dl Cos90 = 0

So

B.dl = B. dl + B. dl + B. dl + B. dl

B.dl = BL + 0 + 0 + 0

B.dl = BL

according to ampere's law

B.dl = NI

So

BL = NI

B = (N/L)I

B = (n)I

genius_generous answered 3 years ago

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