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.

A minimalist diagram of a straight wire. Show small circles with negative signs (electrons) moving to the left, and a bold arrow above the wire pointing to the right labeled 'Conventional current direction'. Keep the design clean and modern.

Definition

Electric current (II) is the rate of flow of electric charge (QQ) 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, ee, which is the charge of a single proton (or the magnitude of the charge of a single electron).

A simple, clean illustration showing three identical small circles, each labeled '+e', '+e', '+e', arranged in a row, with a caption 'Charge is quantised in units of e'. Use a minimalist style.

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.

Formula
Q=ItQ = It

Where:

  • QQ = charge (coulombs, C)
  • II = current (amperes, A)
  • tt = time (seconds, s)

Microscopic View: Current in a Conductor

In a conductor, current depends on:

  • The number of charge carriers per unit volume (nn)
  • The cross-sectional area of the conductor (AA)
  • The average drift velocity of the charge carriers (vv)
  • The charge on each carrier (qq)

The current can be calculated using:

Formula
I=AnvqI = Anvq

Where:

  • II = current (A)
  • AA = cross-sectional area (m2^2)
  • nn = number density of charge carriers (m3^{-3})
  • vv = average drift velocity (m s1^{-1})
  • qq = charge on each carrier (C)

A cross-sectional view of a cylindrical wire. Show the area 'A' shaded, with small dots inside representing charge carriers. Include a subtle arrow along the wire labeled 'drift velocity v'. Use a clean, modern, and minimalist style.

Example Calculation

1

Example

A copper wire has a cross-sectional area of 2.0×1062.0 \times 10^{-6} m2^2, contains 8.5×10288.5 \times 10^{28} free electrons per m3^3, and electrons have charge 1.6×1019-1.6 \times 10^{-19} C. If the average drift velocity is 5.0×1045.0 \times 10^{-4} m s1^{-1}, find the current.

Key Points

  • Electric current is the flow of charge carriers.
  • Charge is quantised in multiples of the elementary charge, ee.
  • Use Q=ItQ = It to relate charge, current, and time.
  • Use I=AnvqI = Anvq to relate current to microscopic properties of a conductor.
Important

Always include correct units (e.g., coulombs, amperes, seconds) in your answers.

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