Conducting Loop Moving Through Constant Magnetic Field 123 456 A conducting loop

Question

Conducting Loop Moving Through Constant Magnetic Field 123 456 A conducting loop is made in the form of two squares of sides s,2.1cm and s2 5.6 cm as shown. At time t 0, the loop enters a region of length L 14.8 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- 52 cm/s. The resistance of the loop is R 1.8 2. s2 1 At time t t0.013 s, what is , the induced current in the loop2 l, is defined to be positive if it is in the 3) what is F(t2), the x-component of the force that must be applied to the loop to maintain its constant velocity v = 52 cm/s att t0.361 s2 4) At time t t 0.298 s, what is l3, the induced current in the loop? l3 is defined to be positive if it is in the 5) Consider the two cases shown above. How does l, the magnitude of the induced current in CaseI, compare to li, the magnitude of the induced current in Case ll? Assumes 3s1 Case I Case II

Explanation / Answer

1) I1 = induced emf/R

= B*v*s1/R

= 1.5*0.52*0.021/1.8

= 0.0091 A

2) I2 = induced emf/R

= B*v*s2/R

= 1.5*0.52*0.056/1.8

= 0.0243 A

here the current is counter clockwise

so, I2 = -0.0243 A

3) |Fx| = B*I2*s2

= 1.5*0.0243*0.056

= 0.00204 N

This force acts towards -x axis

so, Fx = -0.00204 N

4) I3 = 0 (because there is no change in magnetic flux through the loop)

5) Ii < Iii

because, the change in magnetic flux in the second case is more than the change in magnetic flux in the first case.

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