A square shaped coil of area having 600 turns rotates in a magnetic field of , about an axis which is parallel to one of the side of the coil and perpendicular to the direction of field. [2023]

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Solution

Q.
A square shaped coil of area $70 {cm}^{2}$ having 600 turns rotates in a magnetic field of $0.4 {Wbm}^{- 2}$ , about an axis which is parallel to one of the side of the coil and perpendicular to the direction of field. If the coil completes 500 revolution in a minute, the instantaneous emf when the plane of the coil is inclined at $60 °$ with the field, will be ________ V. [2023]

(Take $π = \frac{22}{7}$ )

Ans.
(44)

$N = 600, A = 70 \times 10^{- 4} m^{2}, B = 0.4 T$

$ω = \frac{500 \times 2 π}{60} = \frac{100 π}{6} rad/s$

$E = N A B ω \sin ω t$

$ω t is the angle between \vec{A} and \vec{B}$

$= 600 \times 70 \times 10^{- 4} \times 0.4 \times \frac{100 π}{6} \times \frac{1}{2} = 44 V$

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