Question

# Please!! evaluate your answer with at least two of the following methods: unit analysis, reasonability of...

Please!! evaluate your answer with at least two of the following methods: unit analysis, reasonability of the answer, consistency of representation, or extreme case analysis.

A circular ring of radius 0.50 m is placed in a 0.4-T uniform B-field that points toward the left. Determine the magnetic flux through the ring’s area when (a) the plane of the ring is perpendicular to the surface of the page and its normal vector points to the right and (b) the plane of the ring is perpendicular to the surface of the page and its normal vector points toward the top of the page.

In first case magnetic field and area vector of plane are at opposite.

Field along left while are vector is right so angle between them will be

So magnetic flux is intering to the plane.

Flux in first case

flux entering to the plane.

Part B.

In this situation plane area vector is at 90 degree to the flux.

because magnetic field is along left while area plane vector is upword.

Now flux in this situation