Question

state and prove Amphere circuit law . Hence find magnetic field due to a straight wire conductor​

Answer 1

Answer:

The line integral of the magnetic field B around any closed path is equal to μ0 times the net steady current enclosed by this path. Proof: The magnetic field produced by a long straight conductor is in the form of concentric circles. These circles are in the plane perpendicular to the length of the conductor.

Explanation:

Ampere's law equation

∮

B

→

.

dℓ

→

=μ∑i

Here

B

→

.

ℓ

→

=μ∑i

here

dμ

→

length element perpendicular to the plane of paper

∮

B

→

.

dℓ

→

=μ

o

∑i

B → magnetic field which is also perpendicular to plane of paper & align with length elements

∮

B

→

.

dℓ

→

=μ

o

∑i

B.∮dℓ=μ

o

i

B.2π=μ

o

i

B=

2πr

μ

o

i