In an AC generator, a rectangular coil of 100 turns each having area 14 × 10⁻² m² is rotated at 360 rev min⁻¹ about an axis perpendicular to a uniform magnetic field of magnitude 3.0 T. The maximum value of the emf produced will be ______ V. [Take π = 22/7]
Physics · Circular Motion
JEE Mains 30 January 2023 Shift 2 Evening Shift

Question

In an AC generator, a rectangular coil of 100 turns each having area 14 × 10⁻² m² is rotated at 360 rev min⁻¹ about an axis perpendicular to a uniform magnetic field of magnitude 3.0 T. The maximum value of the emf produced will be ______ V. [Take π = 22/7]

Physics · Circular Motion

G1 Physics · Accepted Answer

Maximum emf E(max)=NABω. Angular speed ω = 360×2π/60 = 12π rad s⁻¹. Thus E(max)=100×14×10⁻²×3×12π. Using π=22/7 gives 1584 V.