Derive an expression for the magnetic field due to a current carrying straight wire of infinite length.
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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
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