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  4. The arm PQ of a rectangular conductor is moving from x =0 to x=2 b outwards and then inwards from x=2 b to x =0 as shown in the figure. A uniform magnetic field perpendicular to the plane is acting from x=0 to x=b. Identify the graph showing the variation of different quantities with distance: <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/4ca4c85b047a604ca2a8d4e983e4dc2d-.png /> <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/9af8a81b26f83a2b3c554a6f9aa169ba-.png />

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Q. The arm $PQ$ of a rectangular conductor is moving from $x$ $=0$ to $x=2 b$ outwards and then inwards from $x=2 b$ to $x$ $=0$ as shown in the figure. $A$ uniform magnetic field perpendicular to the plane is acting from $x=0$ to $x=b$. Identify the graph showing the variation of different quantities with distance:
image
image

JEE MainJEE Main 2021Electromagnetic Induction

Solution:

As rod moves in field area increases upto $x=b$
then field is absent and again flux is generated on return journey from $x=b$ to $x=0$.
Thus plot $A$ for flux.
$\Rightarrow e=-\frac{d \phi}{d t} $
$\Rightarrow$ curve $B$ for emf
$\Rightarrow$ Power dissipated $= vi $
$\Rightarrow$ curve $C$ for power dissipated