How to Calculate Magnetic Field Strength Between Parallel Wires

AI Thread Summary
To calculate the magnetic field strength between two parallel wires, the formula B(r) = μ₀i/2πr is modified to account for the distance between the wires, using D and d instead of r. The user initially attempted to sum the magnetic fields from both wires but made an error in the algebra, leading to confusion over an additional D in the numerator. Clarification was sought regarding the complete problem statement and previous parts of the assignment, which were deemed irrelevant. Ultimately, the user identified their mistake as a result of poor practice. The discussion concludes with the user indicating they no longer need assistance.
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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