Moving loop in magnetic field (concepts)

[Staple Gun]

Homework Statement

In the figure, a region with constant (externally produced) magnetic field is shown. A wire loop moves into the magnetic field.

[Image Included]

Question 1While the loop is moving into the region with the constant external magnetic field, the magnetic field inside the loop due to the induced current in the loop points ...

Question 2Which of the following is correct? While the loop is moving into the region with the constant external magnetic field, the magnetic force on the loop points ...

Answer Choices
... into the page
... out of the page
... left
... down
... No magnetic field is induced by the movement of the loop.
... up
... right

Homework Equations

|e| = vBL (Not sure if it's relevant)

The Attempt at a Solution

For #1 I don't have any idea. For #2 I think that the force would oppose the motion, and therefore point to the left.

Any help would be greatly appreciated! Thanks!

 

[Hootenanny]

You answer to question two is correct, apply the same logic to the first question.

 

[thomate1]

I would like to provide a response to the content regarding a moving loop in a magnetic field.

Firstly, when a wire loop is moving into a region with a constant external magnetic field, an induced current is generated in the loop. This induced current creates its own magnetic field, which follows the right-hand rule. The direction of this induced magnetic field inside the loop is perpendicular to the direction of the external magnetic field and the direction of motion of the loop. Therefore, the magnetic field inside the loop due to the induced current points out of the page.

Now, for the second question, the correct answer would be "left". This is because, according to the Lorentz force law, the force on a charged particle moving in a magnetic field is perpendicular to both the direction of motion and the magnetic field. In this case, the induced current in the loop is acting as a charged particle, and the force on it would be perpendicular to both the direction of motion (into the page) and the direction of the magnetic field (out of the page). As a result, the force would point to the left, opposing the motion of the loop.

In conclusion, the correct answers for the two questions are:
1. The magnetic field inside the loop due to the induced current points out of the page.
2. The magnetic force on the loop points to the left.

As for the equation |e| = vBL, it is relevant as it represents the magnitude of the induced EMF (electromotive force) in the loop, where v is the velocity of the loop, B is the magnetic field, and L is the length of the loop. This equation can be used to calculate the magnitude of the induced current in the loop, which in turn helps in determining the direction of the induced magnetic field and the force on the loop.