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1. A loop with an area of .33 m^2 is rotating at 281 rad/s wuth its axis of rotation perpendicular to a uniform magnetic field. the magnetic fiels has a strength of .035 T. If the loop contains 37 turns of wire, what is the maximum potential difference induced in the loop.
2. A generator develops a maximum emf of 2.8 V. If the generator coil has 25 turns of wire, a cross-sectional area of 36 cm^2, and rotates with a constant frequency of 60.0 Hz, what is the strenght of the magnetic field in which the coil rotates.
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1. As,
maximum potential difference induced in the loop = E = NAwB
here, N = no. of turns in the loop
A = Area of the loop, w = angular speed,
B = magnetic field strength
So, put the values E = 37*.33*281*.035 = 120.08 volts
2. here we have, frequency = f =60 Hz and as
w = 2*pi*f so, w = 120*pi
hence, from E = NAwB we have, B = E / NAw
so, B = 2.8 / (25*.0036*120*pi) = 82.52 mT