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) 3000π
(b) 300π
(c) 30π
(d) 3π
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The peak value of the included 3π....
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Answer: (c) 30π
Explanation:
Given data
Number of turns of coil = 300 = n
area = 25 cm × 10 cm. =A
speed of coil = 50 cps =w
magnetic field strength 4 × 10^-2 T = B
B is about an axis perpendicular of the field
Therefore θ= 90°
sin90=1
To find: The peak value of the induced e.m.f.
We know that
E = nBA ω sin θ
= (300)*(4*10^-2)*(25*10^-2) *(10*10^-2)*2π*50 *1
= 30πvolts
Hence peak value of induced emf = 30π volts
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