How to Calculate Magnetic Field Strength Between Parallel Wires

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SUMMARY

The discussion focuses on calculating the magnetic field strength between two parallel wires carrying current. The magnetic field is expressed using the formula B(r) = μ₀i / (2πr), where the variables D and d represent the distances from the wires. The user initially miscalculated the magnetic field strength as B = (μ₀i) / (π(D² - d²)), but the correct formula is B = (μ₀iD) / (π(D² - d²)). The error was identified as a misunderstanding of the algebra involved in the calculation.

PREREQUISITES
  • Understanding of magnetic field concepts, specifically Ampère's Law.
  • Familiarity with the Biot-Savart Law for calculating magnetic fields.
  • Basic algebra skills for manipulating equations.
  • Knowledge of the symbols used in electromagnetism, such as μ₀ (permeability of free space).
NEXT STEPS
  • Study the derivation of the Biot-Savart Law for magnetic fields around current-carrying wires.
  • Learn how to apply Ampère's Law in various configurations of current-carrying conductors.
  • Explore the concept of superposition in magnetic fields for multiple current sources.
  • Investigate practical applications of magnetic fields in electrical engineering, such as in transformers and inductors.
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Students and professionals in physics and electrical engineering, particularly those studying electromagnetism and magnetic field calculations between conductors.

Kawakaze
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Hi everyone, long time lurker, first time poster. Can someone please clear this up for me? Two wires running parallel to each other. I think its just an algebraic addition of the usual

B(r)=u_0i/2pir

but instead of r, we are using D and d

aslso i apologise for my formulae, if someone could point me to the tex thread ill redo them

Homework Statement



By summing the magnetic field due to currents of magnitude i flowing in both the wires in the senses you found in part (c), show that, on the line joining the two wires, the magnetic field strength is given by =

`````````````````````````````````````````````````````

Homework Equations



B(r)=u_0i/2pir

The Attempt at a Solution



B=(u_0i/2piD)+(u_0i/2pid)

which i get to be

B=(u_0i)/pi(D^2-d^2)

the question says it should be

B=(u_0iD)/pi(D^2-d^2)

Where is that extra D on the numerator from?

Thanks
 
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We can't help you unless you post the entire problem as stated. What are the "senses you found in part (c)"? What do parts (a) and (b) ask? Guessing at what might be asked does not help us help you.
 
Parts a and b have no bearing on the question. This is just an algebra question. I found out where i went wrong. Just bad practice! =/

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