A circular single loop of wire with a diameter of 30.0 cm lies in the plane of t

Question

A circular single loop of wire with a diameter of 30.0 cm lies in the plane of the paper in a region of space that contains a 1.65 T magnetic field pointing out of the paper Axis Determine the magnetic flux through this loop. (2 pts) If the diameter of the loop changes from 30.0 cm to 15.0 cm in 0.120 seconds what is the direction of the induced current, clockwise or counter-clockwise as seen from above? Explain your answer. (2 pts) a) b) c) What is the magnitude of the induced emf that results from the diameter change in part b)? (2 pts) What is the magnitude of the induced emf if this new smaller loop (d = 15.0 cm) is now rotated about an axis along the diameter by 90 in 2.00 milliseconds in the given magnetic field? (2 pts) What would be the peak emf created if one were to create a simple generator with this smaller loop and spin it about an axis along the diameter at a rate of 75.0 rev/s in the given magnetic field? (2 pts) d) e)

Explanation / Answer

e)

Area of wire

A=pid2/4 =pi*0.32/4=0.0707 m2

Peak emf is given by

Emax =NBAW

Emax =1*1.65*0.0707*(75*2pi)

Emax =54.96 Volts

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