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12.1 Electric Current
Charges in motion make an electric current. Time rate of flow of charge through a cross-section is called electric current.
Suppose, a charge Dq passes through a given cross-section area in a short time Dt, then the electric current is
More precisely, the instantaneous current at a given time t is
12.1.1 Current Due to Translatory Motion of Charges
(i) If n particles, each having a charge q, pass through a given area in time t, the current is given by
(ii) If n particles, each having a charge q, pass per second per unit area, the current associated with cross-sectional area S is
12.1.2 Current Due to Rotatory Motion of Charge
If a point charge q is moving in a circle of radius r with speed v, then its time period T = (2pr/v).
So through a given cross-section (perpendicular to motion), the current is
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