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Roodles01
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Homework Statement
A current element is 3.0mm long, centerd on the origin of cartesian coordinates, and carries a current of 2.5A in the direction ez.
What field does it produce at the point (3.0, 0, 4.0)
Homework Equations
This is obviously a Lorentz force law question
so . . . ∂B = (I ∂I (r-r0)) / I r-r0 I^3
where B = magnetic field
I - current
r - point of origin
r0 - point being considered
The Attempt at a Solution
∂B = 4∏x10^-7 / 4∏ x 2.5A x 3.0x10^-3 )(ez(3ex + 4ez)) /5^3
cancelling 4∏'s
∂B = 10^-7 x 2.5A x 3.0x10^-3 (ez(3ex + 4ez)) /5^3
The number bit is easy, but the problem I have is the vector notation.
Please, how do I do the (ez(3ex + 4ez)) /5^3 bit?
I have the final answer as
1.8x10^-11 T ey
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