Q.

A 50 turns circular coil has a radius of  3 cm, it is kept in a magnetic field acting normal to the area of the coil. The magnetic field  B increased from 0.10 tesla to 0.35 tesla in 2 milliseconds. The average induced e.m.f. in the coil is

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a

1.77 volts

b

17.7 volts

c

177 volts

d

0.177 volts

answer is B.

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Detailed Solution

e=−NB2−B1Acos⁡θΔt=−50(0.35−0.10)×π3×10−22×cos⁡0∘2×10−3=17.7V
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A 50 turns circular coil has a radius of  3 cm, it is kept in a magnetic field acting normal to the area of the coil. The magnetic field  B increased from 0.10 tesla to 0.35 tesla in 2 milliseconds. The average induced e.m.f. in the coil is