Question #127966
The 1000-turn, 0.4 m diameter coil of a generator is rotated at 120 rpm in a 0.038 T field. In order
to be able to measure the emf induced by the generator up to the maximum, a galvanometer of
10
1
Expert's answer
2020-08-02T15:09:14-0400

As per the given question,

Number of turn(N)=1000(N)=1000

Diameter of the coil (d)=0.4m(d)=0.4m

Frequency of the rotation of the coil (ω)=2π×120×160=4πHz(\omega)=2\pi \times 120\times \frac{1}{60} =4\pi Hz

Magnetic field(B)=0.038T(B)=0.038T

E=NBAωE=NBA\omega

Now, substituting the values in equation,

E=1000×0.038×π(0.42)2×4πVoltE=1000\times 0.038\times \pi (\frac{0.4}{2})^2\times 4\pi Volt

=1000×0.038×π×0.04×4πVolt=1000\times 0.038\times \pi\times 0.04 \times 4\pi Volt

=19.1Volt=19.1 Volt


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