Please show the solutions for question 19 and 20, thank you! A rectangular wire
ID: 1368319 • Letter: P
Question
Please show the solutions for question 19 and 20, thank you!
A rectangular wire loop of height h = 0.6 m, width w = 0.9 m, and net electrical resistance R =150 Ohm lies in the x-y plan. As shown in the figure below, the loop is fully contained within a region of spatially uniform but time-varying magnetic field. A graph of the magnetic field's time dependence is shown below. What is the direction of seconds? What is the magnitude of the current induced around the wire loop at time, t = 4.5 seconds? Compare the current at t = the magnitude of the current at t = 4.5 seconds, I_45 to the magnitude of the current at t = 3 seconds, I_3:Explanation / Answer
18 . b) clockwise.
19) induced EMF generated in loop = change magnetic flux
e = A dB /dt
at 4.5 sec , dB / dt = 4/2 = 2 T/s
e = 0.6 x 0.9 x 2 =1.08 V
I = e /R = 1.08 / 150 =7.2 x 10^-3 A = 7.2 mA
20 ) slope at 4.5 > slope at 3
so induced emf at 4.5 > at 3
|I45| > |I3|