What is meaning of Current?

Current can be defined as the motion of charge through a conducting material. The unit of current is Ampere whilst charge is measured in Coulombs.
Definition of Ampere
The quantity of total charge that passes through an arbitrary cross section of a conducting material per unit second is defined as an Ampere.

We can write mathematically,
                  I=Q/t or Q =It
where  is: 

Q is the symbol of charge measured in Coulombs(C)
I is the current in Ampere (A) and
t is the time in seconds (s)

The current can also be define as the rate of charge passing through a point in an electric circuit.
i = dQ/dt

A constant current (also know as direct current or DC) is denoted by the symbol I whereas as time-varing current (also known as alternating current or AC) is
represented by i or i(t).
Note: Current is always measured through a circuit element.

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