QJEEM23Ph5b8b: JEE Main 2023 Physics - Class 12 JEEM23Ph5b8b Solution: In an ac generator, a rectangular coil of 100 turns each having …

Question

Verified Solution • 2025–26 Session moderate

In an ac generator, a rectangular coil of 100 turns each having area

14 \times 10^{-2} \mathrm{~m}^{2}

is rotated at

360 ~\mathrm{rev} / \mathrm{min}

about an axis perpendicular to a uniform magnetic field of magnitude

3.0 \mathrm{~T}

. The maximum value of the emf produced will be ________

V

.

\left(\right.

Take

\left.\pi=\frac{22}{7}\right)

Accepted Answer

$\phi=B.A$

$\phi=\mathrm{BNA}\cos\omega t$

So, $Emf = {{ - d\phi } \over {dt}} = NBA\omega \sin \omega t$

So maximum value of emf is

${E_{\max }} = NBA\omega$

$= 100 \times 3 \times 14 \times {10^{ - 2}} \times {{360 \times 2\pi } \over {60}} = 1584$

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