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A current is flowing through a cylinderi...

A current is flowing through a cylinderical conductor of radius R, such that current density at any cross-section is given by `J = J_(0)(1-(r )/(R ))`, where r is radial distance from axis of the cylinder .Calculate the total current through the cross-section of the conductor.

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To calculate the total current flowing through the cross-section of a cylindrical conductor with a given current density, we can follow these steps: ### Step 1: Understand the given current density The current density \( J \) is given by: \[ J = J_0 \left(1 - \frac{r}{R}\right) \] where: ...
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