The drawing shows that a uniform magnetic field is directed perpendicularly into

Question

The drawing shows that a uniform magnetic field is directed perpendicularly into the plane of the paper and fills the entire region to the left of the y axis. There is no magnetic field to the right of the y axis. A rigid right triangle ABC is made of copper wire. The triangle rotates counterclockwise about the origin at point C. What is the direction (clockwise or counterclockwise) of the induced current when the triangle is crossing the following locations? (a) the + y axis (b) the -x axis (c) the -y axis (d) the + x axis For each case, Justify your answer.

Explanation / Answer

a)

as the triangle cross the +y-axis , the magnetic flux through the loop increases.To oppose the change in its magnetic flux , the loop induced current in it in such a way to produce magnetic field in opposite direction of external magnetic field.

hence current induced must be counter-clockwise to produce magnetic field in outward direction opposite to external inward magnetic field .

b)

when the loop is crossing the -X-axis , the loop is completely inside the external magnetic field and hence the magnetic flux linked with the loop remains constant. so no current is induced as the flux is not changing.

c)

as the triangle cross the - y-axis , the magnetic flux through the loop starts decreasing.To oppose the change in its magnetic flux , the loop induced current in it in such a way to produce magnetic field in same direction of external magnetic field.

hence current induced must be clockwise to produce magnetic field in inward direction in same direction to external inward magnetic field .

d)

when the loop is crossing the -X-axis , the loop is completely outwise the external magnetic field and hence the magnetic flux linked with the loop remains constant. so no current is induced as the flux is not changing.

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