In an ac generator, a rectangular coil of 100 turns each having area… | JEE Main 2023 (30 Jan, Shift 2)

Q29JEE Main 2023 · 30 JAN · SHIFT 2Easy

AC Generator & Transformer

In an ac generator, a rectangular coil of 100 turns each having area $14 \times 10^{-2}\text{ m}^2$ is rotated at $360\text{ rev/min}$ about an axis perpendicular to a uniform magnetic field of magnitude $3.0\text{ T}$ . The maximum value of the emf produced will be ________ $V$ .

$($ Take $\pi = \frac{22}{7})$

Numerical answer type. Work it out, then open the answer.

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Answer: 1584

$\omega = 2\pi f = 2\pi \times \frac{360}{60} = 12\pi\text{ rad/s}$
$e_0 = NBA\omega = 100 \times 3.0 \times 14\times10^{-2} \times 12\pi = 504\pi$
$e_0 = 504 \times \frac{22}{7} = 1584\text{ V}$
So $e_0 = 1584\text{ V}$ .

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