Concept explainers
On the two diagrams below, indicate the direction of the induced current in the loop at each of the instants shown. If the current is zero, state that explicitly. Explain how you determined your answers.
The direction of the induced current in the loop at each instant.
Explanation of Solution
Introduction:
Write the expression to calculate the magnetic flux.
Here,
Write the expression to calculate induced emf.
Here,
Case 1:
Consider time 1.
Calculate the magnetic flux.
The magnetic flux will decrease as the angle reaches to
Calculate the induced emf.
The emf will increase which leads to the increase of current. The coil will produce a magnetic field in the same direction. According to Lenz’s law the direction of current will be anticlockwise when seen from the left side of the loop.
Case 2:
Calculate the magnetic flux.
The magnetic flux will decrease as the angle reaches to
Calculate the induced emf.
The emf is zero.
Calculate the current.
For the time 2, the emf induced will be zero which will lead to zero current in the loop.
Conclusion:
Therefore, for time 1 the current will be in anticlockwise direction and for time 2 the current is zero.
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