Question

hii♥♥♥ guys........

What is the formula of magnetic field for the solid cylinder
1) outside
2) inside
3) boundary

Solve using ACL.........​​

Answer 1

For boundry,

Put r = R in case 2

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Answer 2

Answer:

Find the magnetic field due to the configuration of wires at a distance r from the axis as shown in the figure. The current is uniformly distributed in the cross sectional areas of 0<r<a and a<r<b.

Solution:

Amperian loop is a circular loop of radius r concentric to the wires.

For r≤a,

Current enclosed in the amperian loop is I

1

=

a

2

2r

2

Using Ampere's Law, Magnetic field is given by B×2πr=

a

2

2μ

o

r

2

B=

πa

2

μ

o

r

For a≤r≤b,

Current enclosed in the amperian loop is I

2

=2+

b

2

−a

2

3(r

2

−a

2

)