A conducting loop is made in the form of two squares of sides s1 2.5cm and s2-5

Question

A conducting loop is made in the form of two squares of sides s1 2.5cm and s2-5 cm as shown. At time t 0, the loop enters a region of length L -15 cm that contains a uniform magnetic field B-1.5 T, directed in the positive z-direction. The loop continues through the region with constant speed v = 39 cm/s. The resistance of the loop is R 2.5 2. 1) At time t-t1 = 0.021 s, what is l 1, the induced current in the loop? Il is defined to be positive if it is in the counterclockwise direction Submit 2) At time t t2 0.491 s, what is l2, the induced current in the loop? 12 is defined to be positive if it is in the counterclockwise direction Submit 3) What is Fx(t2), the x-component of the force that must be applied to the loop to maintain its constant velocity v 39 cm/s at t t0.491 s? Submit 4) At time tt3 0.406 s, what is l3, the induced current in the loop? l3 is defined to be positive if it is in the counterclockwise direction Submit

Explanation / Answer

1)

INduced emf

E=BS1v =1.5*0.025*0.39

E=0.014625 V

Induced current

I=E/R=-0.014625/2.5 =-0.00585 A

2)

INduced emf

E=BS2v =1.5*0.05*0.39

E=0.02925 V

Induced current

I=E/R=0.02925/2.5=0.0117 A

3)

Fx=BIS2 =1.5*0.0117*0.05=0.0008775 N

4)

I=0.00585 A

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