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Physics · 2024 · 3 marks
CBSE 2024 · Region 2 · Set 2 · Q24
A rectangular loop of sides 10 cm × 20 cm is kept outside a region of uniform magnetic field | B |=5 mT as shown in the figure. The loop is moved…
A rectangular loop of sides $\displaystyle 10 \mathrm{~cm} \times 20 \mathrm{~cm}$ is kept outside a region of uniform magnetic field $\displaystyle |\overrightarrow{\mathrm{B}}|=5 \mathrm{mT}$ as shown in the figure. The loop is moved with the velocity of $\displaystyle 5 \mathrm{~cm} / \mathrm{s}$ till it goes completely out of the magnetic field.
(a)
Plot a graph showing variation of the magnetic flux $\displaystyle \phi$ with $\displaystyle \mathrm{x}(0 \leq \mathrm{x} \leq 100 \mathrm{~cm})$.
(b)
Find the maximum value of magnetic flux linked with the loop.
(c)
Will an external work be required to be done to move the loop through the magnetic field ?
Marking-scheme solution
(b)
$\displaystyle \phi=\vec{B} \cdot \vec{A}$
$\displaystyle =5 \times 10^{-3} \times 20 \times 10^{-2} \times 10 \times 10^{-2}$
$\displaystyle =10^{-4} \mathrm{~Wb}$
(c)
Yes, external work is required.
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