How do you find the B field between finite wires?

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SUMMARY

The discussion focuses on calculating the magnetic field (B field) generated by finite wires using the Biot-Savart Law. Participants clarify that while results for infinite wires are well-established, the approximation for finite wires requires integration over the wire's length. The cutoff for using the infinite wire approximation is suggested to be around 10% of the wire's length, indicating that beyond this point, the finite wire effects become significant.

PREREQUISITES
  • Understanding of the Biot-Savart Law
  • Knowledge of magnetic field calculations
  • Familiarity with integration techniques
  • Concept of wire length in electromagnetism
NEXT STEPS
  • Research the application of the Biot-Savart Law for finite wires
  • Study the effects of wire length on magnetic field strength
  • Explore numerical integration methods for magnetic field calculations
  • Investigate the significance of the 10% rule in electromagnetic theory
USEFUL FOR

Physics students, electrical engineers, and anyone studying electromagnetism who seeks to understand the behavior of magnetic fields generated by finite conductors.

Frostfire
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I know the results for infinite, but how about finite? And where is the cutoff with the aproximation of infinite? I've heard the value 10% tossed around is that right?
 
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if u have used bio savart law to find the field of an infinite wire, u wud have integrated along the comple length (infinite) of the wire.
now just integrate along the finite ength of the wire
 

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