How Does Magnetic Force Affect the Direction of a Wire in a Magnetic Field?

In summary, a wire with a length of 0.060 m and a current of 4.0 A flowing from point P to point Q experiences a magnetic force in a direction determined by the Right Hand Rule. The equation F=ILBsin(theta) can be used to calculate the magnitude of the force, but a diagram is necessary to determine the exact direction of the force.
  • #1
arod2812
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0

Homework Statement


A long, straight, vertical segment of wire traverses a magnetic field of magnitude 2.0 T in the direction shown in the diagram. The length of the wire that lies in the magnetic field is 0.060 m. When the switch is closed, a current of 4.0 A flows through the wire from point P to point Q.
Which one of the following statements concerning the effect of the magnetic force on the wire is true?

The wire will have no net force acting on it.
The wire will be pushed to the right.
The wire will be pushed downward, into the plane of the paper.
The wire will be pushed upward, out of the plane of the paper.
The wire will be pushed to the left.

Homework Equations


How is the wire being pushed?? Should I use the Right Hand Rule? If so, what does it tell me about how the wire is being pushed?

The Attempt at a Solution


I used the equation F=ILBsin(theta) but it don't understand how these values tell me about the direction.
 
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  • #2
Well the equation you're using is for the magnitude of the force vector, which is found with a cross product, so yes you use the right hand rule but also the proper equation

You would also have to post the diagram for us to be more helpful
 
  • #3


I can provide a response to the given content. According to the Right Hand Rule, the direction of the magnetic force on a current-carrying wire is perpendicular to both the direction of the current and the direction of the magnetic field. In this case, the current is flowing from point P to point Q, and the magnetic field is directed into the plane of the paper. Using the Right Hand Rule, we can determine that the wire will be pushed downward, into the plane of the paper. This is because the force on the wire is perpendicular to both the current (pointing to the right) and the magnetic field (pointing into the plane of the paper). Therefore, the correct statement is that the wire will be pushed downward, into the plane of the paper.

The equation F=ILBsin(theta) can also help us understand the direction of the force. The angle theta in this case is 90 degrees, as the wire is perpendicular to the magnetic field. Plugging in the given values, we get a force of 0.48 N, pointing downward. This confirms our answer using the Right Hand Rule.

In conclusion, the wire will experience a magnetic force of 0.48 N, pushing it downward, into the plane of the paper. This is due to the interaction between the current in the wire and the magnetic field it is placed in.
 

Related to How Does Magnetic Force Affect the Direction of a Wire in a Magnetic Field?

1. What is a magnetic force in a wire?

A magnetic force in a wire is a force that is exerted on a wire due to the interaction between an electric current and a magnetic field.

2. How does a magnetic force in a wire occur?

A magnetic force in a wire occurs when an electric current flows through a wire that is placed in a magnetic field. The magnetic field exerts a force on the moving charges in the wire, causing the wire to experience a force.

3. What factors affect the strength of the magnetic force in a wire?

The strength of the magnetic force in a wire depends on the strength of the magnetic field, the strength of the electric current, and the length of the wire. The angle between the wire and the magnetic field also affects the strength of the force.

4. How is the direction of the magnetic force in a wire determined?

The direction of the magnetic force in a wire is determined by the right-hand rule, which states that if you point your thumb in the direction of the electric current and your fingers in the direction of the magnetic field, the direction of the force can be found by the direction in which your palm faces.

5. What are some real-life applications of magnetic forces in wires?

Magnetic forces in wires are used in many everyday devices, such as electric motors, generators, and speakers. They are also used in medical imaging technologies, such as MRI machines, to produce images of the body's internal structures.

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