Question

find magnetic field at a point inside the sole
noid by ampere circuital law​

Answer 1

Let us consider a solenoid of large number if turns wounded in a circular manner entering along a straight line as show in the fig( pls refer to pic 1)

Let the length of solenoid be 'L'

Let the number of turns per unit length = 'n'

so,

Total number if turns will be

N = n× L

by using ampere circutal law along loop PQRS(refer to pic 2)

refer to pic for this ( because there is now sign to show integration)

magnetic field from P to Q is 0°

magnetic fields from R to Q is 90°

magnetic field from R to S is 0°

magnetic field from S to P is 90°

so outside the solenoid Magnetic field is zero so magnetic field from R to S will zero

and cos90° = 0

so, magnetic field from R to Q and S to P will also be zero

so, we will do integration of magnetic field from P to Q

so, (refer to pic 3)

According to ampere circutal law

(refer to pic 4)

n= N/L

where n = number if turns per unit length

I hope this answer will help you

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