How Does Lenz's Law Determine Current Direction in Moving Magnets and Solenoids?

In summary, the conversation discusses Lenz's Law and its application in determining the direction of current flow in a circuit involving a bar magnet and a solenoid. The direction of current flow is determined using the Right Hand Screw/Grip Rule, but there is confusion about which specific rule to use for different situations such as solenoids. In a second problem involving two circuits, the direction of current flow is once again determined using Lenz's Law, but the direction of winding of the coil must also be taken into account. The book provides answers for the direction of current flow, but without understanding the reasoning behind them, they hold little significance.
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Homework Statement


Hi. My questions are on Lenz's Law.
1.
We have a bar magnet indicated by the [N | S]. It is moving to the left of a solenoid that is connected to an ammeter. Two points on the circuit are labelled X and Y. ( A ) is just an ammeter. The question is.. What direction does the current flow when the magnet moves?
(i.e. X to Y or Y to X)

[N | S] {||||||||||}
<----- |__( A )___|
...X ...Y

(ignore the periods, they were necessary to keep the formatting for the diagram)

Homework Equations


Lenz's Law - coil acts to oppose change in B

The Attempt at a Solution


Here's my crack at it. As the magnet moves away, there is less flux cutting the solenoid. The magnet's field goes from N -> S so the solenoid is getting a reduction of flux going <-. Then, using the Right Hand Screw/Grip Rule, the direction of the field is <- so current will flow going into the page. I don't quite understand which way the current is supposed to flow from here (X to Y or Y to X) and the diagram given to me was pretty shoddy.

Also, for these type of problems involving loops, wires, solenoids, magnets being moved around and Lenz's Law, what type of Right-Hand Rule is used? My textbook instructs me to use the Screw/Grip Rule, while some websites say different things. The Grip Rule is also changed many when working with solenoids etc. Thumb changes from direction of B to direction of current. It is quite confusing.

Homework Statement


2.
Same sort of problem. We have a cardboard tube, and on it are wound 2 circuits. One is labelled A, and consists of a solenoid in series with a switch labelled P. The secondary circuit is labelled B. Two points on B are chosen to be X and Y. When the switch P is closed, what direction will the current flow in B? (X to Y or Y to X)
...A......B
[...|||||||||||||...|||||||||...]<- The cardboard tube
...|_ \_(+/-)__|...|__(A)__|
...P.......X...Y

(Again, the periods have no significance, they are present for formatting)

Homework Equations


Same as above. Lenz's Law etc.

The Attempt at a Solution


Once the switch P is closed, the current in A will travel from the +ve terminal to the -ve terminal. Using the Grip Rule for solenoids, North is in -> for the solenoid in A. This means that the change in magnetic field for the solenoid in B is an increase in flux in ->. To oppose this, the induced magnetic field will have to be going <-. Using the Grip Rule again, this time thumb pointing <-, current will travel into the page and once again, I'm stuck. Which way does current flow (X to Y or Y to X)?

Answers from the book are 1. X to Y and 2. Y to X, but these have little significance to me if I don't know the reason why.
Thank you for your help.
 
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  • #2
Re Q1: you have the right idea about Lenz's law.
If the magnet is moving to the left then any current induced in the coil will try to stop the magnet moving.
What magnetic polarity would the coil need to have?
You need to know how the coil is wound to determine the direction of any induced current and your diagram cannot show that detail.
Hope this helps
 

FAQ: How Does Lenz's Law Determine Current Direction in Moving Magnets and Solenoids?

1. What is a solenoid?

A solenoid is a coil of wire that is wound tightly in a cylindrical shape. When an electric current is passed through the wire, it creates a magnetic field.

2. How does a solenoid work?

When an electric current is passed through a solenoid, it creates a magnetic field that can attract or repel other magnetic materials. The strength of the magnetic field can be controlled by varying the amount of current flowing through the wire and the number of turns in the coil.

3. What is Lenz's Law?

Lenz's Law is a fundamental law of electromagnetism that states that an induced current in a conductor will flow in the opposite direction to the change in the magnetic field that produced it. This law is important in understanding the behavior of solenoids and other electromagnetic devices.

4. How does Lenz's Law relate to solenoids?

In a solenoid, Lenz's Law explains why the direction of the induced current is opposite to the direction of the change in the magnetic field. When the current in the solenoid is turned on or off, it creates a changing magnetic field, which induces an opposing current in the solenoid itself.

5. What are some practical applications of solenoids and Lenz's Law?

Solenoids and Lenz's Law have many practical applications, such as in electric motors, generators, relays, and speakers. They are also used in many household appliances and automotive systems, such as in door locks, starter motors, and fuel injectors.

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