Calculate Displacement Current from Electric Flux Density

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SUMMARY

The displacement current density (Jd) is calculated using the equation Jd = dD/dt, where D is the electric flux density vector (xy, yz, xz). In this case, differentiating D with respect to time results in zero, indicating that the electric flux density is not changing over time. This implies that the field is electrostatic rather than time-varying. Consequently, without a time-varying electric flux density, there is no displacement current present.

PREREQUISITES
  • Understanding of electric flux density and its representation as a vector.
  • Knowledge of calculus, specifically differentiation with respect to time.
  • Familiarity with the concept of displacement current in electromagnetic theory.
  • Basic principles of electrostatics and time-varying fields.
NEXT STEPS
  • Study Maxwell's equations to understand the role of displacement current in electromagnetic fields.
  • Explore the relationship between electric fields and electric flux density in dynamic systems.
  • Learn about time-varying electric fields and their implications in circuit theory.
  • Investigate practical applications of displacement current in capacitors and AC circuits.
USEFUL FOR

Students of electromagnetism, electrical engineers, and anyone studying the principles of electric fields and displacement current in physics.

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Homework Statement


If electric flux density (D) is given by the vector (xy,yz,xz) then calculate the displacement current density


Homework Equations


Jd = dD/dt


The Attempt at a Solution


if you differentiate D, in terms of t, then you just get 0..but that apparently isn't the answer
 
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If you are getting a "0" as differentiation of electric flux density that means that electric flux density is not changing with time,which means it is electrostatic and not time varying field. You can see this from an example, by keeping D.C voltage across capacitor the current in circuit becomes zero eventually this is because voltage is constant or of zero frequency. So if you don't have a time varying electric flux density there won't be displacement current.
 
lazyaditya said:
If you are getting a "0" as differentiation of electric flux density that means that electric flux density is not changing with time,which means it is electrostatic and not time varying field. You can see this from an example, by keeping D.C voltage across capacitor the current in circuit becomes zero eventually this is because voltage is constant or of zero frequency. So if you don't have a time varying electric flux density there won't be displacement current.

This is what i think!
 

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