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Current Density At A Point...

Current Density At A Point

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Is current density a vector or a scalar quantity ? Deduce the relation between current density and potential difference across a current carrying conductor of length l, area of cross-section A, and number density of free electrons n. How does the current density, in a conductor vary with (a) increases in potential gradient ? (b) increase in temperature? ( c) increase in length? (d) increase in area of cross-section? (Assume that the other factors remain constant in each case).

A point charge q moves with a non-relatives velocity v = const. Find the displacement current density dotd at a point location at a distance r from the charges on a straight line (a) coinciding with the charge path, (b) perpendicualr to the path and passing through the charge.