Determine the magnetic field strength

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SUMMARY

The discussion focuses on calculating the magnetic field strength generated by two parallel wires carrying 19.5 A currents, positioned 6.00 cm apart. The magnetic field at a point 12.0 cm from one wire and 13.4 cm from the other is determined using the formula B = μ₀(I)/r. Participants emphasize the importance of vector addition in superposing the magnetic fields from both wires, as magnetic fields are vector quantities. Proper understanding of vector addition is crucial for accurately calculating the resultant magnetic field.

PREREQUISITES
  • Understanding of magnetic fields and their properties
  • Familiarity with the formula B = μ₀(I)/r
  • Knowledge of vector addition techniques
  • Basic principles of electromagnetism
NEXT STEPS
  • Study vector addition in physics, focusing on magnetic fields
  • Explore the Biot-Savart Law for calculating magnetic fields
  • Learn about the superposition principle in electromagnetism
  • Investigate the effects of distance on magnetic field strength
USEFUL FOR

Physics students, electrical engineers, and anyone interested in understanding magnetic fields and their calculations in electromagnetism.

dsandhu
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I have racked my brain for the past two hours and I can't figure this out. If anyone can help me with, please do.

Two long parallel wires 6.00 cm apart carry 19.5 A currents in the same direction. Determine the magnetic field strength at a point 12.0 cm from one wire and 13.4 cm from the other. (Hint: Make a drawing in a plane containing the field lines, and recall the rules for vector addition.)

I found the magnetic field for each of the wires separately using B = Mo(I)/ r

but I cannot understand what the "vectors" have to do with the problem.
 
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The magnetic field (just like the electric field) is a vector quantity; therefore when superposing two fields, you must use the rules of vector addition.

Check your text or Google for how to add vectors.
 

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