Two very long parallel wires 1.0m apart lie on the ground

In summary, when two parallel wires are 1.0m apart and carry currents of 4.0A and 6.0A in the same direction, the magnetic field will be completely cancelled 1.0m away from the 4.0A wire on the other side. The magnitude of the magnetic field can be calculated using the equations B= UoI/2pir and B = (UoI/4pix)(cos alpha + cos betta). It is important to note that the magnetic force is not in the same direction everywhere and a compass can be used to determine its direction.
  • #1
superflybob
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Homework Statement


Two very long parallel wires 1.0m apart lie on the ground carrying currents 4.0A and 6.0A in the same direction.
How far from the 4. wire are the magnetic field completely cancelled? 1.0m on the other side of the 4.0A wire, what is the magnitude of the magnetic field?

Homework Equations


B= UoI/2pir; B = (UoI/4pix)(cos alpha + cos betta) ; F/L = UoI1I2/2pid

The Attempt at a Solution


I have attempted to use the magnetic field equations in that they are both moving in same direction; the wires will attract each other meaning that they will be opposite signs, but still can't find the solution. I also tried using the Force per length but am not sure how to truly approach the problem.[/B]
 
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  • #2
The magnetic force is not in the same direction everywhere.
Start by drawing a picture and working out which direcetion a compass needle points on each side of the wires.
 

1. What is the purpose of having two long parallel wires 1.0m apart on the ground?

The purpose of having these wires is to demonstrate the concept of electrical currents and the effects of parallel wires on each other.

2. How does the distance between the wires affect their interaction?

The distance between the wires plays a crucial role in their interaction. The closer the wires are to each other, the stronger the magnetic field between them, which can result in a greater influence on the electrical currents.

3. What happens when an electric current is passed through one wire?

When an electric current is passed through one wire, it creates a magnetic field around the wire. This magnetic field then interacts with the magnetic field of the other wire, causing a force between the two wires.

4. Can the direction of the current in the wires affect their interaction?

Yes, the direction of the current in the wires can affect their interaction. If the current in both wires is flowing in the same direction, the wires will attract each other. However, if the current is flowing in opposite directions, the wires will repel each other.

5. How can this concept be applied in real-life situations?

This concept can be applied in various real-life situations, such as in the design of electrical motors and generators. The interaction between parallel wires is also the basis for the operation of many electronic devices, such as speakers and antennas.

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