e flipitphysics.com A conducting loop is made in the form of two squares of side
ID: 2032437 • Letter: E
Question
e flipitphysics.com A conducting loop is made in the form of two squares of sides s1-2.9cm and s2 -6.1 cm as shown. At time t - 0, the loop enters a region of length L -16.9 cm that contains a uniform magnetic field B- 1.1 T, directed in the positive z-direction. The loop continues through the region with constant speed v·31 cm/s. The resistance of the loop is R·1.5 ?. At time t-t1- 0.031 s, what is 1, the induced current in the loop? is defined to be positive if it is in the counterclockwise direction. At time t " t?" 0.704 s, what is 12, the induced current in the loop? 12 is defined to be positive if it is in the counterclockwise direction. What is F(t2), the x-component of the force that must be applied to the loop to maintain its constant velocity v-31 cm/s at t-t2-0.704 s? At time t t-0.576 s, what is l3, the induced current in the loop? l3 is defined to be positive if it is in the counterclockwise direction. Consider the two cases shown above. How does l, the magnitude of the induced current in Case , compare to l, the magnitude of the induced current in Case IP Assume s2-3s1 CaseI Case IIExplanation / Answer
a)
Induced emf
E=BLv =1.1*0.029*0.31=9.89*10-3 Volts
Induced current in the loop
I=E/R =-9.89*10-3/1.5
I=-0.00659 A or -6.59*10-3 A
b)
Induced emf
E=BLv =1.1*0.061*0.31=0.0208 Volts
Induced current in the loop
I=E/R =0.0208/1.5
I=0.013867 A
c)
Magnetic force
F=BIL=1.1*0.013867*0.061=0.0009305 N
d)
I=0.00659 A or 6.59*10-3 A
e)
I1<I11
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