Question

A circular conducting loop of radius 25.0 cm is located in a region of homogeneous magnetic field of magnitude 0.700 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 295 Ω. The magnetic field is now increased at a constant rate by a factor of 2.20 in 21.0s.

a) Calculate the magnitude of the current induced in the loop while the field is increasing.

b) With the magnetic field held constant at its new value of 1.54 T, calculate the magnitude of the average induced voltage in the loop while it is pulled horizontally out of the magnetic field region during a time interval of 1.70 s.

Answer 1

we have Faradaay law of induction

now incresed magnetic field is 2.2*0.7=1.54 T hence

  

And  

We have from ohms law

a) hence magnitude of current induced is 0.0266mA.

b) here the change i area

time interval

now we have

HENCE MAGNITUDE OF AVERAGE INDUCED VOLTAGE =0.178 V.