Total Current from Radial Current Density

Question

A point source generates a radially outward current with a density given by $$J = kr^2$$, where $$k$$ is a constant. At what radius from the source is the total current equal to 10 A?

Accepted Answer

$$r = \left(\dfrac{10}{4\pi k}\right)^{1/4}$$

Answer

$$r = \left(\dfrac{10}{2\pi k}\right)^{1/3}$$

Answer

$$r = \left(\dfrac{10}{2\pi k}\right)^{1/2}$$

Answer

$$r = \left(\dfrac{10}{4\pi k}\right)^{1/2}$$

Total Current from Radial Current Density

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