A long wire passes through amperian loop of radius R along its plane as shown. Then oint overset arrow B⋅ overset arrow d l for amperian loop is

Question

A long wire passes through amperian loop of radius R along its plane as shown. Then oint overset arrow B⋅ overset arrow d l for amperian loop is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-nyqyqf3pvh8h5vcl.jpg" /> (A) μ 0I (B) (μ 0 I/2 π R) (C) (μ 0 I/4 π R) (D) zero

Tardigrade Admin · Accepted Answer

From Ampere's law, oint overset arrow B⋅ overset arrow d l=μ 0iinside As iinside=0 . Hence, oint overset arrow B⋅ overset arrow d l=0

Q. A long wire passes through amperian loop of radius $R$ along its plane as shown. Then $\oint B \to \cdot d l \to$ for amperian loop is

$μ_{0} I$

$\frac{μ _{0} I}{2 π R}$

$\frac{μ _{0} I}{4 π R}$

zero

From Ampere's law, $\oint B \to \cdot d l \to = μ_{0} i_{in s i d e}$
As $i_{in s i d e} = 0$ . Hence, $\oint B \to \cdot d l \to = 0$

Q. A long wire passes through amperian loop of radius R along its plane as shown. Then ∮B→⋅dl→ for amperian loop is

μ0​I

2πRμ0​I​

4πRμ0​I​