CBSE 2026 · Region 5 · Set 1 · Q18 · 2 marks
A plane circular coil is rotated about its vertical diameter with a constant angular speed $\displaystyle \omega$ in a uniform horizontal magnetic field. Initially the plane of the coil is parallel to the magnetic field. Draw plots showing the variation of the following physical quantities as the function of $\displaystyle \omega \mathrm{t}$, where t represents time elapsed :(a)Magnetic flux $\displaystyle \phi$ linked with the coil, and(b)emf induced in the coil.
A plane circular coil is rotated about its vertical diameter with a constant angular speed $\displaystyle \omega$ in a uniform horizontal magnetic field. Initially the plane of the coil is parallel to the magnetic field. Draw plots showing the variation of the following physical quantities as the function of $\displaystyle \omega \mathrm{t}$, where t represents time elapsed :
(a)
Magnetic flux $\displaystyle \phi$ linked with the coil, and
(b)
emf induced in the coil.
Marking-scheme solution
(a)
Plot of magnetic flux linked with the coil: $\displaystyle \phi=\mathrm{B} \mathrm{A} \cos\left(\omega t+\dfrac{\pi}{2}\right)$
(b)
Plot of emf induced in the coil: $\displaystyle e=\omega \mathrm{B} \mathrm{A} \sin\left(\omega t+\dfrac{\pi}{2}\right)$
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