A 14-cm-diameter circular loop of wire is placed in a 1.03-T magnetic field. Par
ID: 1572074 • Letter: A
Question
A 14-cm-diameter circular loop of wire is placed in a 1.03-T magnetic field.
Part A
When the plane of the loop is perpendicular to the field lines, what is the magnetic flux through the loop?
Express your answer to two significant figures and include the appropriate units.
Part B
The plane of the loop is rotated until it makes a 39 angle with the field lines. What is the angle in the equation B = BAcosfor this situation?
Express your answer using two significant figures.
Part C
What is the magnetic flux through the loop at this angle?
Express your answer to two significant figures and include the appropriate units.
Explanation / Answer
flux is BAcos(theta) where theta is the angle between the mag field vector and the normal (perpendicular) to the plane of the circle
a) theta=0 so flux = BA = 1.03T*(pi*0.07m(^2) = 0.0158 T-m2
b) theta is the angle between the perpendicular to the loop, so theta = 90-39 = 51
c) flux = BA cos51, where you use the same values of B and A as you did in part a)
flux = 0.0099 T-m2
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