Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. Examine the graph for the run in which you use a triangle waveform to drive t

ID: 1875726 • Letter: 1

Question

1. Examine the graph for the run in which you use a triangle waveform to drive the current in the primary solenoid. Describe the rate of change of the current in the primary solenoid at different points in a given cycle. What effect would this have had on the magnetic flux passing through the secondary solenoid?

2. From your understanding of Faraday’s law, sketch your prediction of the shape of the graph of induced emf vs. time. Your sketch should indicate how the induced emf responds to changes in the current.

Current (A) 0.5 t3 -0.5 0.05 0.1 0.15 0.2 Time (s)

Explanation / Answer

for the givne triangular waveform

di/dt = k for t < 0.1 s , t > 0 s

di/dt = -k for 0.1 < t < 0.2

where k > 0

now, magnetic flux in the coil depends on currnent and its direction

hence the magnetic flux will linearly increase till t = 0.1s and then linearly decrease to the original value in the same time, inearly

2. now, induced emf is dependent on -di/dt

hence

induced emf V = -k for t < 0.1 s

V = k for t > 0.1 s

where k is some constant k > 0