Question

A closely wound rectangular coil of 80 turns has dimensions of 25.0 cm by 40.0 cm. The plane of the coil is rotated from a position where it makes an angle of 37.0° with a magnetic field of 1.30 T to a position perpendicular to the field. The rotation takes 0.0800 s.What is the average emf EMF induced in the coil?
What is the magnitude of the average emf E induced as the coil is rotated?

Answer 1

Answer:

Induced emf will be equal to 51.76 volt  

Explanation:

We have given number of turns N = 80

Dimension of rectangular coil is 25 cm by 40 cm

So area of rectangular coil $A=0.25\times 0.40=0.1m^2$

Change in magnetic $dB=B(1-cos(90^{\circ}-37^{\circ}))=1.30\times 0.9381=0.5176T$

Change in time is given dt = 0.08 sec

Induced emf is given by $e=N\frac{d\Phi }{dt}=NA\frac{dB}{dt}=80\times 0.1\times \frac{0.5176}{0.08}=51.76volt$

So induced emf will be equal to 51.76 volt