0:00
Hi.
00:01
Here in this given problem current in the toroidal solenoid that is given as i is equal to 2 .400 ampere.
00:27
The total turns in this solenoid are 500 mean radius of this toroidal solenoid that is given as 25 .0 centimeters which may also be given as 0 .25 meter.
00:52
Magnetic field induced inside the toroidal solenoid that is given as 1 .940 tesla.
01:07
So in the first part of the problem using an expression for the magnetic field within the toroid of solenoidoid that is mu not into n into i and here there is a magnetic material within the solenoid.
01:26
So here it will be mu where mu is the absolute permeability of that magnetic material.
01:34
And in place of this n, this is the number of turns per unit length.
01:38
So this is total turns divided by the length means circumference of the toroidal solenoid to i.
01:45
Into i and mu means absolute permeability of the magnetic material that is given as the product of its relative permeability and the absolute permeability of the vacuum so here this is the expression for the magnetic field now in place of mu not we may use 4 pi into 10 dash to the power minus 7 divided by 2 pi r into n i.
02:22
So canceling this 2 pi, we get b is equal to mu r into 10 to the power minus 7 n i divided by r.
02:40
So finally we may rearrange it to get an expression for mu r...