Electric current
Electric current is a fundamental concept in electricity. It describes the movement of electric charge through a conductor, such as a metal wire.
Flow of Charge Carriers
An electric current is caused by the flow of charge carriers. In metals, these charge carriers are electrons. In ionic solutions, the charge carriers can be positive or negative ions. The direction of conventional current is defined as the direction in which positive charges would flow, even though in metals, electrons (which are negatively charged) move in the opposite direction.
Electric current () is the rate of flow of electric charge () past a point in a circuit.
Quantisation of Charge
The charge on charge carriers is quantised. This means that charge exists in discrete packets, not as a continuous value. The smallest possible charge is the elementary charge, , which is the charge of a single proton (or the magnitude of the charge of a single electron).
Relationship Between Charge, Current, and Time
The amount of charge that passes a point in a circuit is related to the current and the time for which it flows.
Where:
- = charge (coulombs, C)
- = current (amperes, A)
- = time (seconds, s)
Microscopic View: Current in a Conductor
In a conductor, current depends on:
- The number of charge carriers per unit volume ()
- The cross-sectional area of the conductor ()
- The average drift velocity of the charge carriers ()
- The charge on each carrier ()
The current can be calculated using:
Where:
- = current (A)
- = cross-sectional area (m)
- = number density of charge carriers (m)
- = average drift velocity (m s)
- = charge on each carrier (C)
Example Calculation
Example
A copper wire has a cross-sectional area of m, contains free electrons per m, and electrons have charge C. If the average drift velocity is m s, find the current.
Key Points
- Electric current is the flow of charge carriers.
- Charge is quantised in multiples of the elementary charge, .
- Use to relate charge, current, and time.
- Use to relate current to microscopic properties of a conductor.
Always include correct units (e.g., coulombs, amperes, seconds) in your answers.
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