Please explain how graphs relate to this problem. I do not know where to start.

Question

Please explain how graphs relate to this problem. I do not know where to start.

A rectangular wire loop of height h, width w, and net electrical resistance R lies in the x-y plane. 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, along with the values of all parameters. Tesla 4 w= 1.5 m h = 0.6 m R 150 B-field region 1 2 3 4 5 67 (sec (+z-axis points out of page) a) Calculate the magnitude of the current induced around the wire loop at time t = 5 sec. a. 111-12 mA b. I 18 mA c. 2.0 mA d. 9.0 mA e. 1.3 mA b) What is the direction of the current induced around the wire loop at time t = 5 sec? a. counterclockwise b. clockwise c) Compare the magnitude of the current att-5 seconds, Is, to the magnitude of the current att 6 seconds, 16. c. llsl=1161

Explanation / Answer

(A) induced emf = d(flux)/dt

= A dB/dt

= w h dB/dt

at t = 5 , dB/dt = slope = 4/2 = 2

e = (1.5)(0.6)(2) = 1.8 Volt

I = e / R = 0.012 A = 12 mA

Ans(A)

(b) a. counterclockwise

(c) at both times, dB/dt is same /

Ans. c I5 = I6

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