- #1
russdot
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Homework Statement
A thin disc of radius R carries a surface charge [tex]\sigma[/tex]. It rotates with angular frequency [tex]\omega[/tex] about the z axis, which is perpendicular to the disc and through its center. What is B along the z axis?
Homework Equations
General Biot-Savart law:
B(x) = [tex]\frac{\mu_{0}}{4\pi}\int\frac{J(x') x (x-x')}{|x-x'|}d^{3}x'[/tex]
K [tex]\equiv \frac{dI}{dl_{perpendicular}}[/tex]
K = [tex]\sigma[/tex]v
The Attempt at a Solution
I'm wondering if the general form Biot-Savart law can be 'generalized' to a 2-D surface current density K instead, and if the form would be the same?
Giving:
B(x) = [tex]\frac{\mu_{0}}{4\pi}\int\frac{K(x') x (x-x')}{|x-x'|}d^{2}x'[/tex]