Force on a wire, by a current carrying wire.

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SUMMARY

The discussion focuses on calculating the force per unit length on a wire with charge density λ due to a current-carrying wire with a current of 3 A, located 3 m away. The relevant formula derived is F/L = μI1I2L/2πR, where μ represents the permeability of free space. Participants clarify that a charge density does not create a magnetic field unless the charge is in motion, while a current generates a magnetic field that circles the wire. The distinction between electric fields created by charges and magnetic fields created by currents is emphasized.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically the relationship between electric and magnetic fields.
  • Familiarity with the concept of charge density (λ) and its implications in physics.
  • Knowledge of the Biot-Savart Law and its application in calculating forces between current-carrying wires.
  • Basic grasp of the permeability of free space (μ) and its role in electromagnetic calculations.
NEXT STEPS
  • Study the Biot-Savart Law for detailed insights into magnetic fields generated by currents.
  • Learn about the Lorentz force law to understand the interaction between electric fields and moving charges.
  • Explore the concept of electric fields generated by static charges and their mathematical representation.
  • Investigate the relationship between current, magnetic fields, and the forces they exert on other currents.
USEFUL FOR

Physics students, electrical engineers, and anyone interested in understanding the interactions between electric and magnetic fields in current-carrying conductors.

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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