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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