A coil of 20 × 20 cm2 having 30 turns is making 30 rps in a magnetic field of induction 1 T. The peak value of the induced e.m.f. is approximately

Question

A coil of 20 × 20 cm2 having 30 turns is making 30 rps in a magnetic field of induction 1 T. The peak value of the induced e.m.f. is approximately (A) 452 V (B) 226 V (C) 113 V (D) 339 V

Tardigrade Admin · Accepted Answer

Here, A = 20 × 20 cm2 = 20 × 20 × 10-4 m2 = 4 × 10-2 m2 n = 30 rps, B = 1 T, N = 30 turns ε = NAB ω = NAB (2π upsilon) = 30 × 4 × 10−2 × 1 × 2 × 3.14 × 30= 226 V

Q. A coil of $20 \times 20 c m^{2}$ having 30 turns is making 30 rps in a magnetic field of induction 1 T. The peak value of the induced e.m.f. is approximately

452 V

226 V

113 V

339 V

Here, $A = 20 \times 20 c m^{2} = 20 \times 20 \times 1 0^{- 4} m^{2}$
$= 4 \times 1 0^{- 2} m^{2}$
$n = 30 r p s, B = 1 T, N = 30 t u r n s$
$ε = N A B ω = N A B (2 π υ)$
$= 30 \times 4 \times 1 0^{- 2} \times 1 \times 2 \times 3.14 \times 30 = 226 V$

Q. A coil of 20×20cm2 having 30 turns is making 30 rps in a magnetic field of induction 1 T. The peak value of the induced e.m.f. is approximately