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

N=300, A=25×10cm2=250×10−4m2 f=50 cps, B=4×10−2T Peak value of induced emf e=BANω =4×10−2×250×10−4×300×2πf =4×10−2×250×10−4×3000×2π(50) =30πV

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

N=300, A=25×10cm2=250×10−4m2 f=50 cps, B=4×10−2T Peak value of induced emf e=BANω =4×10−2×250×10−4×300×2πf =4×10−2×250×10−4×3000×2π(50) =30πV

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

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$300 π$

$3000 π$

$3 π$

$30 π$

answer is C.

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Detailed Solution

$N = 300, A = 25 \times 10 c m^{2} = 250 \times 10^{- 4} m^{2}$

$f = 50 c p s, B = 4 \times 10^{- 2} T$

Peak value of induced emf

$e = B A N ω$

$= 4 \times 10^{- 2} \times 250 \times 10^{- 4} \times 300 \times 2 π f$

$= 4 \times 10^{- 2} \times 250 \times 10^{- 4} \times 3000 \times 2 π (50)$

$= 30 π V$

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

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