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A square shaped coil of area 70 cm² having 600 turns rotates in a magnetic field of 0.4 Wb m⁻², about an axis which is parallel to one of the sides of the coil and perpendicular to the direction of the field. If the coil completes 500 revolutions in a minute, the instantaneous emf when the plane of the coil is inclined at 60° with the field will be _____ V. (Take π = )

Asked in JEE Main 1st Feb 2nd Shift 2023 · Peak and instantaneous EMF

Answer: 44

Step-by-step solution

ω=(2π×500)/(60)=52.36 rad s⁻¹ and A=70×10⁻⁴ m².

ε₀=NBAω=600×0.4×70×10⁻⁴×52.36=88 V.

With the plane at 60° to the field, ε=ε₀ cos 60°=44 V.

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