Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Parts a and b of the drawing show the same uniform and constant (in time) magnet

ID: 2060286 • Letter: P

Question

Parts a and b of the drawing show the same uniform and constant (in time) magnetic field B directed perpendicularly into the screen over a rectangular region. Outside this region, there is no field. Also shown is a rectangular coil (one turn), which lies in the plane of the screen. In part a the long side of the coil (length = L) is just at the edge of the field region, while in part b the short side (width = W) is just at the edge. It is known that L/W = 5.68. In both parts of the drawing the coil is pushed into the field with the same velocity v until it is completely within the field region. The magnitude of the emf induced in the coil in part a is 0.129 V. What is its magnitude in part b?

Explanation / Answer

e = BLv e1 = BLv e2 = BWv e1/e2 = L/W = 5.68 e2 = 0.129 / 5.68 = 0.022711V