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The relationship between the electric field (E), permittivity of free space (), and electric charge density () in a given system is described by Gauss's Law, which states that the electric field (E) at a point in space is directly proportional to the electric charge density () at that point and inversely proportional to the permittivity of free space (). Mathematically, this relationship is represented as E / .

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Q: What is the relationship between the electric field (E), permittivity of free space (), and electric charge density () in a given system?
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What is the relationship between the electric field intensity (E), charge density (q), and permittivity of free space ()?

The relationship between the electric field intensity (E), charge density (q), and permittivity of free space () is given by the equation E q / (). This equation shows that the electric field intensity is directly proportional to the charge density and inversely proportional to the permittivity of free space.


What is the relationship between density and speed?

The relationship between density and speed is inversely proportional in a given medium or material. As density increases, the speed of wave propagation decreases. This relationship is described by the equation v = c/√(με), where v is the speed of the wave, c is the speed in a vacuum, μ is the permeability of the medium, and ε is the permittivity of the medium.


How can one determine the charge density from an electric field?

To determine the charge density from an electric field, you can use the formula: charge density electric field strength / (2 epsilon), where epsilon is the permittivity of the material. This formula relates the electric field strength to the charge density of the material.


How can we calculate the energy density in the region between the plates?

To calculate the energy density between the plates, you can use the formula: Energy Density (1/2) ( E2), where is the permittivity of the material between the plates and E is the electric field strength. This formula helps determine the amount of energy stored per unit volume in the region between the plates.


What is the formula for calculating the electric field of a cylinder?

The formula for calculating the electric field of a cylinder is E / (2r), where E is the electric field, is the charge density of the cylinder, is the permittivity of free space, and r is the distance from the axis of the cylinder.