# Current density

The current density across a cylindrical conductor with radius $$A$$ varies according to the following relation: $\overrightarrow { J } = \overrightarrow { K } \left(1 - \frac{x}{A}\right),$ where $$\overrightarrow { K }$$ is the constant vector across the length of the conductor and $$x$$ is the distance from the axis of the cylinder. Find the current through the cylindrical cross-section.

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