A circular coil of radius R = 45 mm rotates about an axis that is perpendicular

Question

A circular coil of radius R = 45 mm rotates about an axis that is perpendicular to a uniform magnetic field of magnitude B = 0.50 T. (Figure 1)

Part A

If the coil completes 60 rotations each second, how many windings must the coil have in order to power an appliance that requires an emf that varies as Eind(t)=Vmaxsin(t), where Vmax = 120 V ?

A circular coil of radius R = 45 mm rotates about an axis that is perpendicular to a uniform magnetic field of magnitude B = 0.50 T. (Figure 1)

Part A

If the coil completes 60 rotations each second, how many windings must the coil have in order to power an appliance that requires an emf that varies as Eind(t)=Vmaxsin(t), where Vmax = 120 V ?

Explanation / Answer

area of coil

A=piR2=pi*(45*10-3)2=6.36*10-3 m2

Maximum induced in the coil

Vmax=NBAW

angular frequency is

W=60 rev/sec=60*2pi=377 rad/sec

>N=Vmax/BAW =120/0.5*(6.36*10-3)*377

N=100 turns

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