Question

In: Physics

The current in the wire shown in (Figure 1) is increasing

The current in the wire shown in (Figure 1) is increasing.

Part A

What is the direction of the induced current in loop A?

  • clockwise
  • counterclockwise
  • No current is induced in this loop.

 

Part B

  • What is the direction of the induced current in loop B? clockwise
  • counterclockwise
  • No current is induced in this loop. 

Solutions

Expert Solution

Part A.

Given that the current in the straight wire is increasing in the upward direction. Since the magnetic field due to the straight wire is parallel to the plane containing loop A, the net flux through loop A is zero. So, even if the current in the straight wire is changing the flux remains zero. Then, there should not be any induced current in the loop (No current in the loop).

Part B

The direction of the magnetic field due to the straight wire is into the page (within the loop B). Thus, the induced current in the loop B should be such that it opposes the increase of flux corresponding to the increase in the magnetic field is into the page. This is possible when the current in the loop is counterclockwise. Hence, the answer is counterclockwise.

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