Circular Loop in a Homogenous Magnetic Field Due in 4 hours, 8 minutes A circula

Question

Circular Loop in a Homogenous Magnetic Field Due in 4 hours, 8 minutes A circular loop of radius 19 cm is located in the plane of the paper inside a homogeneous rmagnetic field of 0.9 T pointing into the paper. It is connected in series with a resistor of 135 ?. The magnetic field is now increased at a constant rate by a factor of 2.3 in 25.0 s. Calculate the magnitude of the induced emf in the loop in V during that time. Submit Answer Tries 0/10 Calculate the current induced in the loop in A during that time. Submit Answer Tries 0/10 Calculate the average induced voltage, in V, when the magnetic field is constant at 2.07 T while the loop is pulled horizontally out of the magnetic field region in 1.7 s at constant speed. Submit Answer Tries 0/10

Explanation / Answer

given

r1 = 19 cm = 0.19 m

B1 = 0.9 T

R = 135 ohms

B2 = 2.3 T

t = 25 s

a) induced emf in the loop = A*(B2 - B1)/t

= pi*r^2*(B2 - B1)/t

= pi*0.19^2*(2.3 - 0.9)/25

= 0.00635 V

b) induced current = induced emf/R

= 0.00635/135

= 4.70*10^-5 A

c) Average induced emf = A*dB/dt

= pi*0.19^2*(2.07 - 0)/1.7

= 0.138 V

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