Question

Obtain an expression for magnetic induction at the centre of solenoid

Answer 1

Mate i hope it is helpful.....☺✌☺



A long solenoid has current

I

I

flowing through it, also denote

N

N

as the turns per unit length. Take its axis to be the

z

z

-axis, by symmetry the only component of the magnetic field inside is

B

z

Bz

. Find the magnetic field at the center of the solenoid (on the axis). Also, find the magnetic field at the ends of the solenoid.

For the first part, since the solenoid is long we can approximate the magnetic field inside to be uniform and is given by

B

z

=

μ

0

NI

Bz=μ0NI

, so we can say that the magnetic field at the center is also

μ

0

NI

μ0NI

. I'm not sure if my argument is correct but based on my understanding, from the uniformity of the

B

B

-field inside, it should be the same everywhere inside. 

M NOT DAM SURE ABOUT THE ANSWER....✌✌