Question

Four loop are moving relative to a wire carrying a constant current to the right as shown

what are the direction, clockwise (CW) or counterclockwise (CCW), of the induced EMFs in the four loops, A, B,C, D?
a. CW, CCW, CCW, CW
b. CCW, CCW, CW, CW
c. CCW, CW, CW, CCW
d. CW, CW, CCW, CCW

Answer 1

The direction of the induced EMFs in the four loops are CW, CCW, CCW, CW.

Step-by-step explanation:

The direction of the induced EMFs in the four loops can be determined by using the right-hand rule for electromagnetic induction.

1. Loop A: The current is moving to the right, and the magnetic field is pointing into the page. By using the right-hand rule, we can determine that the induced EMF will be clockwise (CW).
2. Loop B: The current is moving to the right, and the magnetic field is pointing out of the page. Using the right-hand rule, the induced EMF will be counterclockwise (CCW).
3. Loop C: The current is moving to the right, and the magnetic field is pointing into the page. Using the right-hand rule, the induced EMF will be counterclockwise (CCW).
4. Loop D: The current is moving to the right, and the magnetic field is pointing out of the page. By using the right-hand rule, we can determine that the induced EMF will be clockwise (CW).

Answer 2

The correct answer to the direction of the induced EMFs in loops A, B, C, and D is counterclockwise (CCW), clockwise (CW), CW, and CCW, respectively. This is determined based on Lenz's Law and the right-hand rule for magnetic fields.

Step-by-step explanation:

The question refers to the direction of the induced electromotive force (EMF) in four loops that are moving relative to a wire carrying a constant current. According to Lenz's Law, the direction of the induced current in a loop is such that it creates a magnetic field that opposes the change in magnetic flux through the loop.

Loop A is approaching the current-carrying wire, so an EMF is induced that creates a magnetic field opposing the approach. This results in a counterclockwise (CCW) current as viewed from the circuit. Loop B is moving away from the wire, inducing a current that tries to maintain the existing flux by creating a clockwise (CW) current. Loop C, like loop B but on the opposite side, induces a CW current for the same reason. Lastly, loop D enters the magnetic field behind the wire, so it will induce a CCW current to oppose the increase in flux it experiences.

Therefore, the correct answer is option (c): CCW, CW, CW, CCW. This determination uses the right-hand rule, where the thumb points in the direction of the current, and the fingers curl in the direction of the induced magnetic field.