SATHEE: Concepts and Formulas to Remember

Concepts and Formulas to Remember

4 : Distinction from Conduction Current

Solution :

Know that unlike conduction current, displacement current does not involve physical movement of charge.

Maxwell’s Amendment to Ampère’s Law: $[\nabla \times B = μ_{0} J + μ_{0} ε_{0} \frac{\partial E}{\partial t}]$ Understand each term and its implications in different scenarios.
Displacement Current Density: $[J_{d} = ε_{0} \frac{\partial E}{\partial t}]$ This is useful in calculating the displacement current in various configurations.
Displacement Current in a Capacitor: $[I_{d} = ε_{0} A \frac{d E}{d t}]$ Here, ( A ) is the area of the capacitor plates, and ( E ) is the electric field between them.
Electric Field in a Parallel Plate Capacitor: $[E = \frac{σ}{ε_{0}}]$ Where σ is the surface charge density on the plates.
Relation between Electric Flux and Displacement Current: $[I_{d} = ε_{0} \frac{d Φ_{E}}{d t}]$ Where Φ_E is the electric flux.

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Concepts and Formulas to Remember

4 : Distinction from Conduction Current

Solution :

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