In an a.c. generator, a rectangular coil of 1000 turns each having area 10^ -2 π \ m^2 is rotated at 180 r.p.m. about an axis perpendicular to a uniform magnetic field of magnitude 2 T. The maximum value of e.m.f.

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Correct answer: B. 120 V

The maximum e.m.f. produced in an a.c. generator is given by

E_0 = NAB\omega

Given:

N = 1000

A = \dfrac{10^{-2}}{\pi}\ \text{m}^2

B = 2\ \text{T}

Frequency

f = 180\ \text{r.p.m.} = \dfrac{180}{60}\ \text{Hz} = 3\ \text{Hz}

Angular velocity

\omega = 2\pi f = 2\pi \times 3 = 6\pi\ \text{rad/s}

Substituting the values:

E_0 = 1000 \times \dfrac{10^{-2}}{\pi} \times 2 \times 6\pi

E_0 = 10 \times 12 = 120\ \text{V}

Answer:

120

V

In an a.c. generator, a rectangular coil of 1000 turns each having...

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