The maximum strength of the Harths magnetic field is about 6

The maximum strength of the Harth\'s magnetic field is about 6.9 x 10^-5 T near the south magnetic pole. In principle, this field could be used with a rotating coil to generate 60.0 Hz ae electricity. What is the minimum number of turns (area per turn of 0.022 m^2) that the coil needs in order to produce a peak voltage of 170 V?

Solution

2(60 Hz) 376.99 rad/s
d/dt (6.9e-5 T)(0.022 m^2)(376.99 rad/s)
Vp 1702 V
E = Nd/dt
N = E / d/dt
N (1702 V ) / [ (6.9e-5 T)(0.022 m^2)(376.99 rad/s) ]
N 420045.879 turns > 420046 turns