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## Homework Statement

The current density in a cylindrical conductor of radius a placed along the z-axis is J=10e^-(1-ρ/a)Uz

Find the current through the cross-section of the conductor.

## Homework Equations

I=JA

A=(pi)a^2

## The Attempt at a Solution

So far I have this I=10e^-(1-ρ/a)Uz((pi)a^2) which I assume I am to integrate but what should I integrate with respect too and what should the limits be I am guessing from 0 to a?