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1) What is the magnitude of the magnetic flux through the loop at time t = t 1 =

ID: 1453551 • Letter: 1

Question

1)

What is the magnitude of the magnetic flux through the loop at time t = t1 = 11 s?

2)

What is 1, the induced emf in the loop at time t = 5.5 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise.

3)

What is 2, the induced emf in the loop at time t = 13 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise.

5)

What is 4, the induced emf in the loop at time t = 26.5 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise.

Explanation / Answer

1) = [(uo*I*W)/2pi]*ln[(d+L)/d]

          = (2*10^-7*4.9*0.30)*ln(0.92/0.33) = 3.01*10^-7 T-m^2

2) E1 = (uo*W/2pi)*ln[(d+L)/d]*(dI/dt) = (2*10^-7*0.3)*ln(0.92/0.33)*(4.9/11) = 2.74*10^-8

3) E2 = 0 (induced current will be clockwise)

5) E4 = d /dt = (d/dt)[(uo*I*W)/2pi]*ln[(d+L)/d]

                        = (2*10^-7*0.3)*ln(0.92/0.33)*(4.9/26.5) = 1.14*10^-8