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

Question

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

Knowee AI · Accepted Answer

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

The Maxwell’s equation (which is based Ampere’s law) for any dielectric will be

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The Maxwell’s equation (which is based Ampere’s law) for any dielectric will be

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