As a conductor narrows the total current flowing along its l

As a conductor narrows, the total current flowing along its length must reverse direction. decrease increase remain constant. Assume current flows in a cylindrical conductor in such a way that the current denary mere; radius, from zero at the center to 1.0 A/m^2 at the surface of the conductor. If the conductor has a cross of sectional area of 1.0 m^2, what can you say about the current in this conductor? The current is 1.0 A. Any of these choices might be correct. The current is more than 1.0 A. The current is less than 1.0 A.

Solution

5. d) Remain costant.

   Because, when the cross section decreases, the current density increases but curret remains the same. Current will change only when there is branching in the conductor.

6. d) The current is less than 1.0 A

since current density at the center is zero and at the surfarce is 1.0 A/m^2. Therefore, average current density must be between 0 and 1 A/m^2. And, cross section of the wire is 1 m^2.

The total current through the conductor will be given by product of average current density and cross sectional area and cleaarly the product is less than 1.0 A.