How Does the Right-Hand Rule Determine EMF Direction in a Non-Conducting Loop?

In summary, when a long, straight wire carrying an increasing current in the left direction is placed in the same plane as a wooden, non-conducting loop, there will be no induced emf and no induced current. However, the direction of the induced emf can be determined by the direction of the B field produced by the wire and applying Lenz's law.
  • #1
Kathi201
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A long, straight wire is in the same plane as a wooden, non-conducting loop. The wire carries an increasing current I in the direction shown in the figure (the current is pointing in the left direction).

a. there will be no induced emf and no induced current
b. there will be a counterclockwise induced emf, but no induced current
c. there will be a clockwise induced emf, but no induced current
d. there will be a clockwise induced current in the loop
e. there will be a counterclockwise induced current in the loop

How do you figure out the direction of the emf if you know the direction of the current. The direction of the current is to the left so I believe that means it is moving clockwise. Does that mean that the emf is moving clockwise as well?
 
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  • #2
Kathi201 said:
A long, straight wire is in the same plane as a wooden, non-conducting loop. The wire carries an increasing current I in the direction shown in the figure (the current is pointing in the left direction).

a. there will be no induced emf and no induced current
b. there will be a counterclockwise induced emf, but no induced current
c. there will be a clockwise induced emf, but no induced current
d. there will be a clockwise induced current in the loop
e. there will be a counterclockwise induced current in the loop

How do you figure out the direction of the emf if you know the direction of the current. The direction of the current is to the left so I believe that means it is moving clockwise. Does that mean that the emf is moving clockwise as well?


The answer here will depend on how the figure is drawn. As a first step, think about the B field prodeced by the wire. Which way is that B field passing through the loop? Once you have that, you can apply Lenz's law to find the direction of the induced emf.
 
  • #3


The direction of the induced EMF (electromotive force) and induced current can be determined using the right-hand rule. This rule states that if you point your thumb in the direction of the current, your curled fingers will point in the direction of the magnetic field, and your palm will face the direction of the induced EMF and current.

In this scenario, since the wire is carrying an increasing current to the left, the magnetic field around the wire will be in a counterclockwise direction. This means that the induced EMF and current in the loop will also be in a counterclockwise direction, as determined by the right-hand rule.

Therefore, the correct answer is option b: there will be a counterclockwise induced EMF, but no induced current. The induced EMF will try to oppose the change in the magnetic field caused by the increasing current in the wire, but as the loop is made of non-conducting material, there will be no induced current.

In summary, the direction of the induced EMF and current can be determined using the right-hand rule, and in this scenario, the induced EMF and current will be in a counterclockwise direction.
 

1. What is induced EMF?

Induced EMF, or electromotive force, is a voltage that is created in a conductor when it is exposed to a changing magnetic field. This induced voltage can then cause a current to flow in the conductor, according to Ohm's law.

2. How is induced EMF different from static EMF?

Static EMF refers to a constant voltage or electric field, while induced EMF is created by a changing magnetic field. Induced EMF is temporary and only exists as long as the magnetic field is changing, whereas static EMF can exist indefinitely.

3. What factors affect the magnitude of induced EMF?

The magnitude of induced EMF is affected by the strength of the magnetic field, the speed at which the magnetic field changes, and the number of turns in the conductor. A stronger magnetic field, faster changing field, and more turns will result in a larger induced EMF.

4. How is induced current related to induced EMF?

According to Faraday's law of induction, the induced EMF in a conductor is directly proportional to the rate of change of magnetic flux through the conductor. This induced EMF then causes a current to flow in the conductor, according to Ohm's law.

5. What are some real-world applications of induced EMF and current?

Induced EMF and current have many practical applications, such as in generators and transformers for the production and transmission of electricity. They are also used in devices like electric motors, speakers, and microphones. Additionally, electromagnetic induction is the principle behind wireless charging technology.

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