The maximum voltage generated in the coil is 3.14 V.
According to the question, we are provided that a bicycle turns 1000 of the area of 0.10 m2, where the coil rotates half a revolution per second, which is placed in a uniform magnetic field of 0.01 T.
Therefore, no .of turns the coil took, N = 1000
Area of the coil, A= 0.10 m²
Frequency of the system =0.5 revolutions per second
= 0.5 Hz
The intensity of the Magnetic field , B =0.01 T
So the Equation we refer to for the calculating the desired value
E(ind) =
= -d(NBAcosωt) / dt
= − NBA d(cosωt) /dt
= NBAωsinωt
if sinωt=1,
maximum E(ind)= NBAω
Since we know, ω=2πf
Therefore, (Eind)max = NBA(2πf)
= (1000)(0.01)(0.1)(2π)(0.5)
(E(ind))max= 3.14v.
the value for the voltage we got is 3.14 V
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