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Example · Example 1

Q.Define electric current. Write the relation between current and the charge flowing through a cross-section of a conductor, and state the SI unit of current.

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Concept understanding — Electric Current

Electric current is defined as the net rate of flow of electric charge across a chosen cross-section of a conductor. For a steady flow, if a net charge qq crosses the section in time tt, the current is I=q/tI=q/t; more generally, for a current that varies with time, it is the instantaneous limit I=lim⁡Δt→0Δq/Δt=dq/dtI=\lim_{\Delta t\to0}\Delta q/\Delta t=dq/dt. Its SI unit is the ampere (A), equal to one coulomb of charge crossing per second.

A current can, in principle, be carried by positive charges, negative charges, or both together (as in an electrolyte, where both ion species contribute). In a metal specifically, only the free (conduction) electrons are mobile, so the current is entirely due to electron flow -- yet, by a long-standing sign convention fixed before the electron was discovered, the direction of current in a circuit is always drawn as the direction positive charge would move, even though the actual electrons are moving in the opposite direction. Everyday currents span an enormous range, from a lightning strike (~10,000 A) down to the milliampere-to-nanoampere currents typical of semiconductor devices.

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