Magnetic Field Calculation for Parallel Wires

• Bavarian Rave
In summary, the conversation is about a problem involving two long parallel wires carrying current in the same direction and the calculation of the magnetic field at a point perpendicular to both wires. The person seeking help has attempted the problem but needs assistance due to missing classes. They are asked to show their work and use the righthand rule to draw the B-fields for each wire.
Bavarian Rave
The diagram (see picture) depicts two long horizontal straight parallel wires that are a distance d=20.36cm apart and each carries a current of 3.25A in the same direction, out of the page. What is the magnitude of the magnetic field at a point that is a perpendicular distance r=30.82cm from both wires?

While I have "attempted" this problem, i know my attempts are wrong. (having missed 2 days of classes due to illness, i am behind and my homework is due tomorrow). thanks for any help you can give.

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• parallelwires.jpg
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You'll have to show us where your attempts go wrong so we know where to help you. Do you know the result for the magnetic field from an infinite wire?

Last edited:
Bavarian Rave said:
The diagram (see picture) depicts two long horizontal straight parallel wires that are a distance d=20.36cm apart and each carries a current of 3.25A in the same direction, out of the page. What is the magnitude of the magnetic field at a point that is a perpendicular distance r=30.82cm from both wires?

While I have "attempted" this problem, i know my attempts are wrong. (having missed 2 days of classes due to illness, i am behind and my homework is due tomorrow). thanks for any help you can give.

Use the righthand rule to draw the B-fields for each wire. What directions do each field have at that point P? Draw the two vectors there, and add the two vectors in rectangular coordinates. Show us your work.

Welcome to the PF.

1. What is the purpose of parallel wires?

Parallel wires are used to create a circuit which allows electrical current to flow through them. This is necessary for many electronic devices to function properly.

2. How are parallel wires different from series wires?

In series wires, the electrical current flows through one wire, then through the next, and so on. In parallel wires, the current is split between two or more wires, allowing for more current to flow through the circuit.

3. What is the benefit of using parallel wires?

Using parallel wires allows for more current to flow through the circuit, which can be necessary for devices that require a large amount of power. It also allows for redundancy, as if one wire were to fail, the others can still carry the current.

4. Are there any disadvantages to using parallel wires?

One potential disadvantage of parallel wires is that they can introduce interference into a circuit, as the wires run parallel to each other and can cause electromagnetic fields to interact with each other.

5. How do I calculate the total resistance of parallel wires?

To calculate the total resistance of parallel wires, you can use the formula 1/Rt = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn, where Rt is the total resistance and R1-Rn are the individual resistances of each wire. This will give you the equivalent resistance of the parallel wires.

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