Spherical Current Density Calculation
Current flows radially outward from a spherical conductor of radius R. The magnitude of the current density J at a distance r from the center of the conductor is given by J® = J₀(R/r)². What is the total current I that crosses a spherical surface of radius r, where r > R?
A
I = 4πJ₀r²
B
I = 4πJ₀R²(r/R)²
C
I = 4πJ₀R²(R/r)²
D
I = 4πJ₀R²
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