Wire Loops, Current, Magnetic Field, & Straight Wire HELP

In summary, the problem involves calculating the force exerted on a wire loop by a current in a straight wire. The diagram shows the magnitudes of the currents and the direction of the loop's current. To solve this problem, the equations used and the numbers plugged in should be shown.
  • #1
JMoore0150
8
0
This problem deals with current and the magnetic fields of these wire loops & straight wires. The question is listed below, as is the link to the picture. Thanks SO Much for your help!

http://i597.photobucket.com/albums/tt59/JMoore4116/PHY232--Ch31--5-4.jpg

If that one doesn't work, try this one:
http://s597.photobucket.com/albums/tt59/JMoore4116/?action=view&current=PHY232--Ch31--5-4.jpg


In the diagram, one current flows through the straight wire and another current flows around the wire loop, with the magnitudes shown. What are the magnitude and direction of the force exerted on the wire loop by the current in the straight wire?
 
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  • #2
Hi JMoore0150,

JMoore0150 said:
This problem deals with current and the magnetic fields of these wire loops & straight wires. The question is listed below, as is the link to the picture. Thanks SO Much for your help!

http://i597.photobucket.com/albums/tt59/JMoore4116/PHY232--Ch31--5-4.jpg

If that one doesn't work, try this one:
http://s597.photobucket.com/albums/tt59/JMoore4116/?action=view&current=PHY232--Ch31--5-4.jpg


In the diagram, one current flows through the straight wire and another current flows around the wire loop, with the magnitudes shown. What are the magnitude and direction of the force exerted on the wire loop by the current in the straight wire?

What have you tried so far? When you show your work (equations you are using, and number you are plugging in), we'll better know how we can help.
 
  • #3


I would approach this problem by first understanding the relationship between current and magnetic fields. When a current flows through a wire, it creates a magnetic field around the wire. This magnetic field is perpendicular to the direction of the current.

In this scenario, we have two wires with currents flowing through them. The straight wire has a current flowing through it in the direction shown by the arrow, while the wire loop has a current flowing around it in a clockwise direction. Since both currents are in the same direction, their magnetic fields will interact with each other.

To determine the force exerted on the wire loop by the current in the straight wire, we can use the right-hand rule. If we point our right thumb in the direction of the current in the straight wire, our fingers will curl in the direction of the magnetic field. Similarly, if we point our right thumb in the direction of the current in the wire loop, our fingers will curl in the direction of the magnetic field.

Since the two magnetic fields are in the same direction, they will attract each other. This means that the force exerted on the wire loop by the current in the straight wire will be in the direction towards the straight wire.

The magnitude of this force can be calculated using the equation F = ILB, where I is the current in the wire loop, L is the length of the wire loop, and B is the magnetic field created by the current in the straight wire. The magnitude of the magnetic field can be calculated using the equation B = μ0I/2πr, where μ0 is the permeability of free space, I is the current in the straight wire, and r is the distance between the two wires.

In summary, the force exerted on the wire loop by the current in the straight wire will be towards the straight wire, and its magnitude can be calculated using the equations mentioned above.
 

1. What is a wire loop?

A wire loop is a closed circuit of wire that allows electricity to flow through it. It is often used in electrical devices and circuits to transfer and control electrical energy.

2. How does current flow through a wire?

Current flows through a wire when there is a potential difference, or voltage, across the two ends of the wire. The flow of electrons from the negative to the positive end of the wire creates the current.

3. What is a magnetic field?

A magnetic field is an area around a magnet or a current-carrying wire where the magnetic force can be detected. It is created by the movement of charged particles, such as electrons, and is responsible for the attraction and repulsion of magnets.

4. How does a magnetic field affect a wire loop?

When a wire loop is placed in a magnetic field, the moving electrons in the wire experience a force due to the interaction between the magnetic field and the current in the wire. This force causes the wire loop to move or rotate, depending on the direction of the current and the orientation of the magnetic field.

5. What is the relationship between a straight wire and a magnetic field?

A straight wire carrying an electric current creates a magnetic field around it. The strength of the magnetic field is directly proportional to the amount of current flowing through the wire. The direction of the magnetic field can be determined using the right-hand rule, where the thumb points in the direction of the current and the fingers curl in the direction of the magnetic field.

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