What is the expression for displacement current as per Ampere's circuital law?
Understand the Problem
The content of the image discusses concepts related to electromagnetic waves, including Ampere's circuital law and the expression for displacement current. It provides foundational physics concepts relevant to the behavior of electromagnetic fields.
Answer
i_d = ε0 (dφE/dt)
The expression for displacement current in Ampere's law is: ( i_d = \varepsilon_0 \frac{d\phi_E}{dt} ), where ( i_d ) is the displacement current, ( \varepsilon_0 ) is the permittivity of free space, and ( \frac{d\phi_E}{dt} ) is the rate of change of electric flux.
Answer for screen readers
The expression for displacement current in Ampere's law is: ( i_d = \varepsilon_0 \frac{d\phi_E}{dt} ), where ( i_d ) is the displacement current, ( \varepsilon_0 ) is the permittivity of free space, and ( \frac{d\phi_E}{dt} ) is the rate of change of electric flux.
More Information
Displacement current arises in regions where there is a time-varying electric field, ensuring continuity in Maxwell's equations and maintaining the consistency of current flow in the loop.
Tips
Ensure to differentiate thoroughly the electric flux with respect to time to accurately find the displacement current.
Sources
- 8.9: Displacement Current and Ampere's Law - Engineering LibreTexts - eng.libretexts.org
- Displacement Current Definition, Formula, Ampere-Maxwell Law - byjus.com
AI-generated content may contain errors. Please verify critical information
