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Current and Resistance

Continuity Equation

Description

The total amount of current flowing per unit cross-sectional area is called the current density. Hence, the current passing through a cross-sectional area can be written as the surface integral of the current density.

Transcript

Current density is the total amount of current flowing per unit cross-sectional area. So, the total current passing through a cross-sectional area can be expressed as the surface integral of the current density.

Now, charge conservation requires that the total current flowing out of a given volume equals the rate of decrease of charge wit...

Tags

Continuity EquationCurrent DensityCharge ConservationDivergence TheoremVolume Charge DensitySurface IntegralVolume IntegralSteady CurrentsLeibniz RuleStatic Equilibrium

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