PART (A) A circular loop of radius 19 cm is located in the plane of the paper in
ID: 1459756 • Letter: P
Question
PART (A) A circular loop of radius 19 cm is located in the plane of the paper inside a homogeneous magnetic field of 0.5 T pointing into the paper. It is connected in series with a resistor of 191 . The magnetic field is now increased at a constant rate by a factor of 2.4 in 21.0 s. Calculate the magnitude of the induced emf in the loop in V during that time.
PART (B) Calculate the current induced in the loop in A during that time.
PART (C) Calculate the average induced voltage, in V, when the magnetic field is constant at 1.20 T while the loop is pulled horizontally out of the magnetic field region in 7.5 s at constant speed.
***PLEASE solve WITHOUT using calculus
Explanation / Answer
A) area of the loop, A = pi*r^2
= pi*0.19^2
= 0.1134 m^2
induced emf = A*dB/dt
= 0.1134*(2.4*0.5 - 0.5)/21
= 0.00378 volts
= 3.78*10^-3 volts
B) Induced ecurrent = induced emf/R
= 3.78*10^-3/191
= 1.98*10^-5 A
C) induced emf = A*dB/dt
= 0.1134*(1.2 - 0)/7.5
= 0.0181 volts
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