What is Current ?

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Electric current implies charges in motion. The time rate of change of electric charge passing through a predetermined area S is called electric current (abbreviated as i). Typically, this area is the cross-sectional area of a conductor (see Figure 2.1).



Figure 2.1 Movement of Electrons or Ions through a Conductor of                           Cross-sectional Area S.


 

Modeling the Current

Mathematically, we may define the current as

(2.1)

where i = intensity of the electric current in amperes (A) (1 A = 1 C/s)

q = change in electric charge
 t = time interval over which the change occurs

The instantaneous current i, is defined as the time rate of change of the charge transfer at any particular instant and is defined by

(2.2)
               

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