Question

PROBLEM 2 - 10 points A square loop travels at a constant velocity of 10 cm/s to the right through a region of magnetic field. The magnetic field is confined to the outlined rectangular region outlined. The magnetic field is directed into the page in the left half of this region, and out of the page in the right half. The small squares on the diagram measure 10 cm x 10 cm, and the loop is shown at time t=0. 0 The loop is made from a single turn, and has a resistance of 6 Ohms. The magnitude of the magnetic field at locations in the region outlined in red is 3.0 T. [4 points) (a) Rank the following times based on the magnitude of the emf induced in the loop as it moves through the field: ta = 0.5 s; tp = 1.5 s; te = 4.5 s; tp = 6.0 s [4 points) (b) Defining out of page to be the direction of positive flux, draw a graph of the magnetic flux through the loop as a function of time. Don't forget to label the axes with the proper units. [2 points] (c) Find the maximum magnitude of the current induced in the loop as the loop moves through the magnetic field.

Answer 1

Ent,e de AP aund th Tel-+ + 3r0170-1 V 0.03 B Volls T 10 10em 2

+ Volls To.0c Yol AL sec dr BY0-1m xv Ve ls 0.03 Vo l2

t(ns -3510 2 9. see fren Area -1 .4.: le-) 3 x 3l0-2 : 3rror2 O

vylt A-3 tocn -3 023r lor2 t2 frey troun-lt 3r 1oun y 3102 37102-7 naf Naar 0.06 V 20.01 A R , tmar0.06 Curve mayimum beause >lope vs t