Magnetic Field Calculation for Current-Carrying Wire

AI Thread Summary
The discussion focuses on calculating the magnetic field generated by an infinitely long wire carrying a current. The equation for the magnetic field B at a distance D from the wire is correctly identified as B(D) = (μ_0 i)/(2πD). For a current of 1.0A and a distance of 10cm, the user calculates B(D) using the provided values. The response confirms that the problem is straightforward and encourages the user to ensure they have correctly determined the direction of the magnetic field. Overall, the calculations and approach are validated as correct.
creativepinky
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Homework Statement



This is a two part question I just want to check I'm on the right track - it just seems too easy to be worth the marks they're given so apologies now if I'm stating the obvious:

a) Write down an equation for the magnitude B of the magnetic field at a distance D away in a vacuum from an infinitely long wire carrying a current i.

b) Find the magnitude and direction of the magnetic field at the point O located at a distance D=10cm form a wire carrying a current i = 1.0A directed into the page.


The Attempt at a Solution



For a) I've got B(D)= (μ_0 i)/2πD

Where μ_0 is the permeability of free space constant at 4π x 10^-7 T m A-1

for b) I've just put the figures into the above equation, giving:

B(D) = (4 x 3.14 x 10^-7) x 1A / (2 x 3.14) x 0.1m

That just seems far too easy - what am I missing? Many thanks
 
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You are missing that this is indeed an easy problem. :wink:

I hope you got the direction right in the second part.
 
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