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A wire loop with a radius of .45 m is placed on the ground. A magnetic field is

ID: 2092777 • Letter: A

Question

A wire loop with a radius of .45 m is placed on the ground. A magnetic field is created so that it points parallel to the ground. The wire loop is now held so that it is perpendicular both to the ground and to the magnetic field. The magnetic field is now increased from zero to 25 T in 30 seconds. Calculate the initial magnetic flux through the wire loop. Phi = Wb Calculate the induced EMF in the wire loop. EMF= V If the resistance of the loop is 3 W, calculate the current in the loop. I= A Calculate the magnetic field strength generated by the wire loop at the center of the loop. B= T

Explanation / Answer

a)initial flux = 0

b) induced emf = 3.14*0.45^2*25/30 = 0.53 V

c)current = 0.53/3 = 0.177 A

d) B = 1.26*10^-6*0.177/(2*3.14*0.45) = 7.89*10^-8 T

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