A long wire is placed parallel to a loop in a same plane as given… - Vidyadip

MCQ

A long wire is placed parallel to a loop in a same plane as given in figure. Find magnetic flux through loop, if area under the curve of graph between magnetic field $B$ and distance $r$ from $r_1$ and $r_2$ is $A$ . Here $B$ is magnetic field due to current (constant) in wire

✓
$Al$
B
$\frac {Al}{2}$
C
$\sqrt 3\ Al$
D
Information is not sufficient for answer the questions

✓

Answer

Correct option: A.

$Al$

a
$B=\frac{\mu i}{2 \pi r}$

$A=\int B d r=\frac{\mu_{0} L^{\circ}}{2 \pi} l n\left(\frac{r_{2}}{r_{1}}\right)$

${\text{d}}\phi = \int {\text{B}} \,{\text{ldr}} = \int {\frac{{{\mu _{\text{o}}}{\text{i}}}}{{2\pi r}}} l{\text{dr}} = {\text{A}}l$

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