A rectangular coil of 300 turns has an average area of average area of 25 cm × 10 cm . The coil rotates with a speed of 50 cps in a uniform magnetic field of strength 4 × 10-2 T about an axis perpendicular of the field. The peak value of the induced e.m.f. is (in volt)

Question

A rectangular coil of 300 turns has an average area of average area of 25 cm × 10 cm . The coil rotates with a speed of 50 cps in a uniform magnetic field of strength 4 × 10-2 T about an axis perpendicular of the field. The peak value of the induced e.m.f. is (in volt) (A) 3000 π (B) 300 π (C) 30 π (D) 3 π

Tardigrade Admin · Accepted Answer

Peak value of emf =e0=ω N B A=2 π ∨ N B A =2 π × 50 × 300 × 4 × 10-2 ×(25 × 10-2 × 10 × 10-2)=30 π volt.

Q. A rectangular coil of $300$ turns has an average area of average area of $25 c m \times 10 c m .$ The coil rotates with a speed of $50 c p s$ in a uniform magnetic field of strength $4 \times 1 0^{- 2} T$ about an axis perpendicular of the field. The peak value of the induced e.m.f. is (in volt)

$3000 π$

$300 π$

$30 π$

$3 π$

Peak value of $e m f = e_{0} = ω NB A = 2 π \lor NB A$
$= 2 π \times 50 \times 300 \times 4 \times 1 0^{- 2} \times (25 \times 1 0^{- 2} \times 10 \times 1 0^{- 2}) = 30 π$ volt.

Q. A rectangular coil of 300 turns has an average area of average area of 25cm×10cm. The coil rotates with a speed of 50cps in a uniform magnetic field of strength 4×10−2T about an axis perpendicular of the field. The peak value of the induced e.m.f. is (in volt)

3000π

300π

30π

3π