Force on a wire, by a current carrying wire.

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Homework Help Overview

The problem involves determining the force per unit length on a wire with charge density λ due to another wire carrying a current of 3 A, positioned 3 m away. The discussion centers around the interaction between electric and magnetic fields generated by the respective wires.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between charge density and current, questioning how to apply λ in the context of the force equation. They discuss the nature of fields created by charge density and current, and the implications of their arrangement.

Discussion Status

The discussion is active, with participants raising questions about the definitions and roles of electric and magnetic fields. Some guidance is offered regarding the nature of forces between the fields, but no consensus has been reached on the specifics of the problem or the application of the concepts involved.

Contextual Notes

There is ambiguity regarding the arrangement of the wires and the lack of explicit information about the direction of currents and fields. Participants also note the absence of reference to a wire's source, leading to further questioning of assumptions.

bfusco
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Homework Statement


What is the magnitude of the force per unit length on a long wire of charge density λ from a wire that carries a current of 3 A and is a distance of 3 m away?
A)μλ/2 B)μλ/6 C)3μλ/2 D)μλ/3 E)0

The Attempt at a Solution


F=BIL→ (F/L)=BI →(F/L)=μI1I2L/2∏R

I don't know how to apply that λ. i would think that λ=Q/L, and i also don't know which current is which in that final equation i put (that may be a slightly tangential question, but i also need help understanding which is which if one could aid with that).
 
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You have one wire with a constant charge density λ, and another with a constant current 3A. They are 3m apart. What is the force between them.
What kind of field does a charge density create?
What kind of field does a current create?
What are the forces between one wire's field and another wire's source?
 
frogjg2003 said:
You have one wire with a constant charge density λ, and another with a constant current 3A. They are 3m apart. What is the force between them.
What kind of field does a charge density create?
What kind of field does a current create?
What are the forces between one wire's field and another wire's source?

-a charge density doesn't create a field, the charge needs to be moving to generate a magnetic field.
-a current creates a field that circles the wire radially, either clockwise of counterclockwise depending on the direction of the current. But there is no indication of the direction the wires sit with respect to each other, neither parallel nor perpendicular.
-considering what this question is giving, there is no reference to a wire's source (which I am guessing you mean voltage?)
 
bfusco said:
-a charge density doesn't create a field, the charge needs to be moving to generate a magnetic field.
Charges create electric fields, moving or not.
-considering what this question is giving, there is no reference to a wire's source (which I am guessing you mean voltage?)
Charges are the sources of electric fields. Currents are the sources of magnetic fields.
My question could be better stated as:
What is the force of a Magnetic field on a charge?
What is the force of an Electric field on a current?
 

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