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Steady Electric Currents

Therefore we can write,

................(3.20)

The equation (3.20) is called the continuity equation, which relates the divergence of current density vector to the rate of change of charge density at a point.

For steady current flowing in a region, we have

......................(3.21)

Considering a region bounded by a closed surface,

..................(3.22)

which can be written as,

......................(3.23)