A 14-cm-diameter circular loop of wire is placed in a 0.62-T magnetic field. a.

Question

A 14-cm-diameter circular loop of wire is placed in a 0.62-T magnetic field.

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.

b. The plane of the loop is rotated until it makes a 45 ? angle with the field lines. What is the angle in the equation ?B = BAcos? for this situation?

Express your answer using two significant figures.

I know that the angle is 45 degrees.

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

a) flux = ?B = BAcos?

here ? = 0

so flux = 0.62*3.14*(0.07)^2 = 9.54*10^-3 Tm^2

b) if the plane of the loop makes 45 degrees with the field lines

? is 45 degrees

here ? is the angle between field lines to the normal to the plane

c) ?B = 0.62*3.14*0.07^2cos45 = 6.74*10^-3 Tm^2

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