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i have part a but how is part b found? please show work thank you! 10. A coil is

ID: 1263061 • Letter: I

Question



i have part a but how is part b found? please show work thank you!

10. A coil is composed of 320 loops of thin wire, each with an area of 6.42 x 10^3 m^2. The coil is in a uniform magnetic field (B = 678 I) that points horizontally and to the left; the coil is tilted so that the line perpendicular to its plane makes an angle of 12.8 degree with the field a. Find the total magnetic flux through the coil (i.e, the combined flux through all of the loops.) b. During a time of .0256 s, the ci=oil is rotated so the perpendicular line is perfectly vertical. What is the average emf induce in the coil during this time?

Explanation / Answer

Note that as the magnetic field and area is constant and only the angle varies,

emf = N B A [cos (Af) - cos(Ai)] / t

Here,

Af = final angle between the perpendicular and the B field = 90 degrees

Ai = initial angle between the perpendicular and the B field = 12.8 degrees

As

N = 320

B = 0.678 T

A = 6.42E-3 m^2

t = 0.0256 s

Thus, plugging these in,

emf = 47.1 V   [ANSWER]