Finding the magnetic field at a point with two wires.

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SUMMARY

The discussion focuses on calculating the net magnetic field at points A, B, and C due to two parallel wires carrying a current of 2.2 A in the same direction. The magnetic field is calculated using the formula B=(μ*I)/(2*pi*r), where μ=4*pi*10^-7. The user initially computed the magnetic fields at specific distances but failed to account for the vector nature of magnetic fields, leading to incorrect conclusions. The correct approach involves using vector addition and the right-hand rule to determine the direction of the magnetic fields.

PREREQUISITES
  • Understanding of magnetic fields and their vector nature
  • Familiarity with the right-hand rule for current and magnetic field direction
  • Knowledge of the formula B=(μ*I)/(2*pi*r)
  • Basic skills in scientific notation for significant figures
NEXT STEPS
  • Study vector addition of magnetic fields in multiple wire systems
  • Learn about the right-hand rule and its applications in electromagnetism
  • Explore the concept of magnetic field strength in different configurations of current-carrying wires
  • Practice using scientific notation in physics calculations for clarity
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the behavior of magnetic fields generated by current-carrying conductors.

cndman
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Homework Statement


Two parallel wires, each carrying a current of 2.2 A in the same direction, are shown in the figure . Find the magnitude of the net magnetic field at points A, B, and C.

Walker4e.ch22.Pr088.jpg

Homework Equations



B=(μ*I)/(2*pi*r)

μ=4*pi*10^-7

The Attempt at a Solution



I believed I could simply calculate the magnetic field from each of the two wires then add up them up so

B=(μ*2.2)/(2*pi*.075)= .000059

B=(μ*2.2)/(2*pi*.225)= .000002

Answer is in μT so I've tried 61, .000061, 57, ect.

I know B is 0.
 
Last edited:
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cndman said:

Homework Statement


Two parallel wires, each carrying a current of 2.2 A in the same direction, are shown in the figure . Find the magnitude of the net magnetic field at points A, B, and C.

Walker4e.ch22.Pr088.jpg



Homework Equations



B=(μ*I)/(2*pi*r)

μ=4*pi*10^-7

The Attempt at a Solution



I believed I could simply calculate the magnetic field from each of the two wires then add up them up so

B=(μ*2.2)/(2*pi*.075)= .000059

B=(μ*2.2)/(2*pi*.225)= .000002

Answer is in μT so I've tried 61, .000061, 57, ect.

I know B is 0.

Magnetic fields are vector fields. That means they have directions as well as magnitudes. You need to take the field directions into account when you add them at a given point (vector addition). Do you recall learning about the right-hand rule for currents and magnetic fields?

You might also consider using scientific notation for your values to avoid all those leading zeros and to manage appropriate significant figures in the values.
 

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