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Is current density a vector or a scalar ...

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).

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