Electromagnetics - Two long wires carry equal, but opposite currents

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SUMMARY

Two long wires carrying equal but opposite currents of 25 A create a magnetic field at point P, located 0.05 m between the wires, which are spaced 0.1 m apart. The magnetic field can be calculated using the formula B = (4π × 10^-7)(25) / (2π)(0.05). The direction of the magnetic fields from each wire at point P must be considered, as they will cancel each other out due to their opposite directions. The solution emphasizes that understanding the vector nature of magnetic fields is crucial for determining the resultant field at point P.

PREREQUISITES
  • Understanding of Ampère's Law and magnetic fields generated by current-carrying wires
  • Familiarity with vector addition in physics
  • Knowledge of the Biot-Savart Law
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the Biot-Savart Law for calculating magnetic fields from current distributions
  • Learn about vector fields and their properties in electromagnetism
  • Explore applications of Ampère's Law in complex circuit configurations
  • Investigate the effects of magnetic fields on charged particles
USEFUL FOR

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

Drevin
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Another Electromagnetics question...

Two long wires carry equal, but oppositely directed, 25 A currents. What is the magnitude of magnetic field due to these currents at point P? The wires are 0.1 m apart and point P is 0.05m in between the wires.

Would the following be the correct way to solve it?

B = (4pi * 10^-7)(25) / (2)(pi)(0.05)

(Phys. 12)
 
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Drevin said:
Another Electromagnetics question...

Two long wires carry equal, but oppositely directed, 25 A currents. What is the magnitude of magnetic field due to these currents at point P? The wires are 0.1 m apart and point P is 0.05m in between the wires.

Would the following be the correct way to solve it?

B = (4pi * 10^-7)(25) / (2)(pi)(0.05)

(Phys. 12)

1. Do you know the expression for magnetic field set up by a long straight wire (of course you do).

2. At point P can you determine the directions of the two fields (due to the two wires)?

3. Determine the fields and add them vectorially :smile:
 
HINT: The question is easier than it first seems and can be answered by inspection; no calculations are nesscary, but they could be used to obtain the same answer. Think bout what determines the magnitude of the magnetic field. Think about what determines the direction of the magnetic field.

:wink:
~H
 

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