How Do Magnetic Fields Influence Parallel Current-Carrying Wires?

In summary, when i2 = - i1, the force on q equals zero, and when i1 = - i2, the wires repel each other. If i1 is less than i2, then the force on q is south. However, if v = 0, then the force on q is zero. The right hand rule can be used to determine the direction of the magnetic field near charge q.
  • #1
missyc8
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Homework Statement



In the picture below, the two wires carry current i1 and i2, respectively, with positive current to the right. The charge q is positive and has velocity v to the right.

If i2 = 0 and i1 is greater than zero, then the force on q points into the page.
If i1 = 0 and i2 is greater than zero, then the magnetic field near charge q points into the page.
If i2 = - i1 then the force on q equals zero.
If i1 = 0 and i2 is greater than zero then the force on q is south.
If i1 = - i2, then the wires repel each other.
If i1 is less than i2, then the force on q is south..
If v = 0, then the force on q is zero.


Homework Equations



right hand rule

The Attempt at a Solution


If i2 = 0 and i1 is greater than zero, then the force on q points into the page. T
If i1 = 0 and i2 is greater than zero, then the magnetic field near charge q points into the page. F
If i2 = - i1 then the force on q equals zero.T
If i1 = 0 and i2 is greater than zero then the force on q is south.T
If i1 = - i2, then the wires repel each other.F
If i1 is less than i2, then the force on q is south..T
If v = 0, then the force on q is zero.T
 

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  • #2
missyc8 said:

Homework Statement



In the picture below, the two wires carry current i1 and i2, respectively, with positive current to the right. The charge q is positive and has velocity v to the right.

If i2 = 0 and i1 is greater than zero, then the force on q points into the page.
If i1 = 0 and i2 is greater than zero, then the magnetic field near charge q points into the page.
If i2 = - i1 then the force on q equals zero.
If i1 = 0 and i2 is greater than zero then the force on q is south.
If i1 = - i2, then the wires repel each other.
If i1 is less than i2, then the force on q is south..
If v = 0, then the force on q is zero.


Homework Equations



right hand rule

The Attempt at a Solution


If i2 = 0 and i1 is greater than zero, then the force on q points into the page. T
If i1 = 0 and i2 is greater than zero, then the magnetic field near charge q points into the page. F
If i2 = - i1 then the force on q equals zero.T
If i1 = 0 and i2 is greater than zero then the force on q is south.T
If i1 = - i2, then the wires repel each other.F
If i1 is less than i2, then the force on q is south..T
If v = 0, then the force on q is zero.T



Could you explain your answers for c) and e) ?

I assume "south" means down as I look at the page, right?
 
  • #3
yes, south means down the page...

C) true, parallel currents attract each other...?
E)false, because the wires produce a mag. out of page...?
 
  • #4
missyc8 said:
yes, south means down the page...

C) true, parallel currents attract each other...?
E)false, because the wires produce a mag. out of page...?

Not sure I'm understanding your answers. Could you paste in c) and e) questions, along with your reasoning on each?
 

FAQ: How Do Magnetic Fields Influence Parallel Current-Carrying Wires?

What does it mean for two wires to be parallel in terms of current?

When two wires are parallel, it means that they are aligned next to each other and have the same starting and ending points. In terms of current, this means that the flow of electricity in each wire is in the same direction and at the same magnitude.

How does having parallel wires affect the current in a circuit?

Having parallel wires in a circuit will effectively double the amount of current flowing through the circuit. This is because the resistance in each wire is reduced, allowing more electricity to flow through.

Can parallel wires handle more current than a single wire?

Yes, parallel wires can handle more current than a single wire. This is because the current in a parallel circuit is divided between the wires, so each wire only has to handle a portion of the total current. This reduces the strain on each wire and allows for more current to flow through.

Are there any drawbacks to using parallel wires in a circuit?

One potential drawback of using parallel wires in a circuit is the increased cost and complexity of the circuit. Parallel wires require more materials and may be more difficult to install, which can add to the overall cost of the circuit. Additionally, if one wire were to fail, it could potentially disrupt the flow of current in the entire circuit.

How can I calculate the total current in a parallel circuit with two wires?

To calculate the total current in a parallel circuit with two wires, you can use Ohm's law. First, calculate the total resistance of the circuit by adding the individual resistances of each wire. Then, use Ohm's law (I=V/R) to calculate the total current, where I is the total current, V is the voltage, and R is the total resistance. Keep in mind that the current in each wire will be equal to the total current in the circuit.

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