Question

A technician wearing a circular metal band on his wrist moves his hand (from a region where the magnetic field is zero) into a uniform magnetic field of magnitude 1.8 T in a time of 0.20 s. If the diameter of the band is 7.0 cm and the field is at an angle of 45° with the plane of the metal band while the hand is in the field, find the magnitude of the average emf induced in the band. mV

Answer 1

Solution Induced EMF is given by. E = - do oc el do dt at where & is flux B A coso dat 0 = 6. A do Acoso de las A and o are constant) area of loop ; B ma magnetic field o= angle between B and A- ; O= 45° Now given magnetic field changes from o do A O 1.8T im 0.20 seconds 1.8 ITIS dB dt 0.20 A = TR² R = 7 cm m. 7X10 2 2 A = TE 7810 m El= T/7X10 TEL 0.0244 24.4 mv Induced EMF & is 24. 4 mv.