The Maxwell’s equation (which is based Ampere’s law) for any dielectric will be
Question
The Maxwell’s equation (which is based Ampere’s law) for any dielectric will be
Solution
Maxwell's equations are a set of four differential equations that describe how electric and magnetic fields interact. They were formulated by James Clerk Maxwell in the mid-19th century. The equation based on Ampere's law, with Maxwell's addition, is:
∇ × H = J + ∂D/∂t
Where:
- ∇ × H is the curl of the magnetic field intensity (H)
- J is the current density
- ∂D/∂t is the partial derivative of the electric displacement field (D) with respect to time
In a dielectric material (a material that is an insulator, or a poor conductor of electricity), the current density J is zero in the absence of free charges. Therefore, the equation simplifies to:
∇ × H = ∂D/∂t
This equation states that a changing electric field (D) in time creates a circulating magnetic field (H). This is the principle behind the operation of many electrical devices
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