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mastertan
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Homework Statement
Using the Biot Savart Law
dB = (u0*i*ds X r)/(4*pi*r^3)
*X is cross product
show that the magnetic field due to an infinitely long straight wire carrying a current i ampere is given by
B = (u0*i)/(2*pi*r)
Homework Equations
Hint: integral (Rds/(s^2+R^2)^3/2) = s/(R*(s^2+R^2)^1/2)
The Attempt at a Solution
Eventually I got something like
B = (i*u0*s)/(4pi*R*(s^2+R^2)^1/2)
which I am pretty sure is correct,
but I don't know how to make that equation become
B = (u0*i)/(2*pi*R)
Any ideas? (I hope the question and all the equations make sense)
Thanks