The next two questions pertain to the following situation: A rectangular wire he

Question

The next two questions pertain to the following situation: A rectangular wire height w, resistance R lies in the x-y plane. As shown in the figure above, the loop is fully contained within a region of uniform but time-varying magnetic field. A graph of the magic field's time dependence is shown below, along with the values of all parameters. (a) what is the direction of the current induced around the wire loop at time t = 5 sec? (b) Calculate the magnitude of the current induced around the wire loop at time t = 5 sec: A. |I| = 9.0 mA B. |I| = 2.0 mA C. |I| = 18 mA. D. |I| = 12 mA. E. |I| = 1.3 mA0.

Explanation / Answer

a)

from the graph , dB/dt = slope of graph at t =5 =   height/run = - 4/(6 - 4) = - 2

hence the rate of change of magnetic field is negative. hence magnetic field is decreasing in outward direction.

due to decreasing magnetic field , the magnetic flux through the loop decreases and hence loop induced current in it to increase the magnetic field in outward direction by producing its own magnetic field in outward direction,

for the loop to produce magnetic field in outward direction , the induced current must be in counterclockwise direction

b)

at t = 5 , dB/dt = - 2

A = area of loop = h w = 0.6 x 1.5 = 0.90

R = resistance = 150 ohm

induced current is given as

i = - A (dB/dt)/R = - (0.90) (-2)/150 = 0.012 A = 12 mA

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.