Total Current from Radial Current Density
The current density J in the inner conductor of a coaxial cable is a function of the radial distance r from the center, given by J® = J₀e^(-r/b) for 0 ≤ r ≤ a. The terms J₀, b, and a are positive constants. What is the total current flowing through the inner conductor?
A
I = 2πJ₀b²[1-(1+a/b)e^(-a/b)]
B
I = πJ₀a²e^(-a/b)
C
I = πJ₀b²(1-e^(-2a/b))
D
I = 2πJ₀b²(1-e^(-a/b))
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