How the charge is conserved in a closed loop circuit?

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SUMMARY

The discussion centers on the principle of charge conservation in closed loop circuits, as derived from Maxwell's Equations. Specifically, it highlights the differential form of the charge conservation law, represented by the equation $\nabla J = - \frac{\partial \rho}{\partial t}$. This equation illustrates the relationship between current density (J) and charge density (ρ) over time, confirming that charge is conserved within a closed loop circuit.

PREREQUISITES
  • Understanding of Maxwell's Equations
  • Familiarity with differential equations
  • Knowledge of current density and charge density concepts
  • Basic principles of electrical circuits
NEXT STEPS
  • Study the implications of Maxwell's Equations on electromagnetic theory
  • Learn about the mathematical derivation of charge conservation laws
  • Explore applications of charge conservation in circuit design
  • Investigate the role of charge density in various electrical components
USEFUL FOR

Electrical engineers, physics students, and anyone interested in the foundational principles of circuit theory and electromagnetic fields.

yakin
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How the charge is conserved in a closed loop circuit?
 
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yakin said:
How the charge is conserved in a closed loop circuit?

It is consequence of the charge conservation law [consequence of Maxwell's Equations...] that in differential form is written as...

$\displaystyle \nabla\ J = - \frac{\partial \rho}{\partial t}\ (1)$

Kind regards

$\chi$ $\sigma$
 

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