Circular Loop in B Field A circular loop of radius 19 cm is located in the plane

Question

Circular Loop in B Field A circular loop of radius 19 cm is located in the plane of the paper inside a homogeneous magnetic field of 0.3 T pointing into the paper. It is connected in series with a resistor of 263 ohm. The magnetic field is now increased at a Constant rate by a factor of 2.1 in 23 s. Calculate the magnitude of the induced emf in the loop during that time. 00331 V Calculate the current induced in the loop during that time. 039 1 times 10^-3 Calculate the average induced voltage when the magnetic field is constant at 0.63 T while the loop is pulled horizontally out of the magnetic field region in 5.1 s. 1.40 times 10^-2 V

Explanation / Answer

Given that

radius r=0.19 m

magnetic field B=0.3 T

area A=3.14*0.19^2=0.1134 m^2

resistance R=263 ohms

basing on the concept of electro magnetic induction

now we find the induced emf

the induced emf E=A*dB/dt

=0.1134*(2.1-0.)/23

=9.7 mV

now we find the induced current

the induced current i=9.7*10^-3/263=36.9*10^-6 A

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