Lenz's Law: Determine Current A-B/B-A

In summary, the question asks us to use Lenz's law to determine the direction of the induced current in a resistor attached to a coil, based on the orientation of a magnet entering or leaving the coil. Using the Right Hand Rule, we can determine that the current will be counterclockwise if the magnet is entering the coil and clockwise if it is leaving. In the first configuration, the south side of the magnet is entering the coil, resulting in a counterclockwise current from A to B. In the second configuration, the north side of the magnet is leaving the coil, causing a counterclockwise current from B to A. In the third configuration, the north side of the magnet is entering the coil, leading to
  • #1
anifau98
1
0

Homework Statement


Use Lenz's law to determine whether the induced current in the resistor R is from A to B or from B to A in the following configurations:

(1) a magnet with south side pointing down is entering a coil attached to a resistor with A coming before B if you go clockwise

(2) a magnet with north side leaving a coil attached to above resistor

(3) a magnet with north side entering the above coil

(4) a magnet with south side entering the coil like above but it is flipped (like it is starting to wind from bottom instead of top)

2. The attempt at a solution

I tried using the Right Hand Rule but I'm not sure exactly what to do. Like for the first one, since the south side is entering the coil, the magnetic field would be from south to north (?) so then the current would be counterclockwise..since it is entering, it would want to oppose and the induced current is clockwise?? so it is from A to B?

For the second one since it is leaving, it would want to stay the same so it would be counterclockwise and be from B to A?

and the third one since it is north entering, the field is pointing down so it is clockwise, and would want to oppose so becomes counterclockwise??

and last one I'm not sure how the change in which side the coil starts to wind even effects the current at all? so it would be same as the first one A to B??
 
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  • #2
Is there supposed to be a picture for this question? It's hard to visualise the problem.
 
  • #3


Your reasoning for the first three scenarios is correct. Lenz's law states that the direction of the induced current will be such that it opposes the change in magnetic flux. In the first scenario, the south side of the magnet entering the coil creates a magnetic field that is increasing in a clockwise direction. The induced current in the coil will produce a magnetic field that opposes this change, so it will flow counterclockwise (from A to B).

In the second scenario, the north side of the magnet leaving the coil creates a magnetic field that is decreasing in a clockwise direction. The induced current in the coil will produce a magnetic field that opposes this change, so it will flow counterclockwise (from B to A).

In the third scenario, the north side of the magnet entering the coil creates a magnetic field that is increasing in a counterclockwise direction. The induced current in the coil will produce a magnetic field that opposes this change, so it will flow clockwise (from B to A).

For the fourth scenario, the change in which side the coil starts to wind does not affect the direction of the induced current. The key factor is still the change in magnetic flux. In this case, the south side of the magnet entering the coil creates a magnetic field that is increasing in a clockwise direction. The induced current in the coil will produce a magnetic field that opposes this change, so it will flow counterclockwise (from A to B), just like in the first scenario.
 

FAQ: Lenz's Law: Determine Current A-B/B-A

What is Lenz's Law?

Lenz's Law is a fundamental principle in electromagnetism that states that the direction of an induced electromagnetic force in a conductor will oppose the change that caused it.

How does Lenz's Law relate to current in a closed loop?

According to Lenz's Law, when a changing magnetic field is applied to a closed loop of conductor, it will induce a current in such a direction that it creates a magnetic field opposing the change in the original magnetic field.

How can Lenz's Law be demonstrated experimentally?

One way to demonstrate Lenz's Law is by using a magnetic field and a copper wire. When the wire is moved through the magnetic field, a current will be induced in the wire and the direction of the current can be determined using the right-hand rule. This current will create a magnetic field that opposes the original magnetic field.

What is the importance of Lenz's Law in practical applications?

Lenz's Law is important in many practical applications, such as generators and electric motors. It helps to ensure that the direction of the induced current is always opposite to the change in the magnetic field, allowing for efficient functioning of these devices.

How does Lenz's Law contribute to the concept of energy conservation?

Lenz's Law is based on the principle of energy conservation, which states that energy cannot be created or destroyed, only transformed. In the case of Lenz's Law, the induced current and opposing magnetic field represent a transformation of energy, helping to maintain the total amount of energy in a closed system.

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