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Why electric field due to infinite sheet is independent of distance?

Why electric field due to infinite sheet is independent of distance?

The electric field is independent of the distance from the plane ONLY if the charged plane is infinitely large! If the charged plane has finite size, the electric field will approach that of a point charge at sufficient distance.

Does electric field due to infinite plane sheet of charge depend upon distance of observation point from the sheet?

Textbook solution The electric field due to an infinite plane sheet of charge does not depend upon the distance of the observation point from the plane sheet of charge.

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How does the electric field due to an infinite sheet of positive charges depend on the distance from the sheet?

By symmetry,the magnitude of electric field E at all the points of infinite plane sheet of charge on either sides end caps is same and along the outward drawn normal,for positively charged sheet. Thus, the field is uniform and does not depend on the distance from the plane sheet of charge.

Why does electric field not change with distance?

An Inverse Square Law The strength of an electric field as created by source charge Q is inversely related to square of the distance from the source. This is known as an inverse square law. So if separation distance increases by a factor of 2, the electric field strength decreases by a factor of 4 (2^2).

How does the strength of the electric field due to an infinite plane of charge depend on how far away R you are from it?

In an infinite plane, it is independent of both r’s as both the dimensions are infinite. In the case of an infinite line charge, only one dimension is infinite. So the field is inversely proportional to only r.

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How does electric field change for a thick sheet of charge?

For an infinite sheet of charge, the electric field will be perpendicular to the surface. Therefore only the ends of a cylindrical Gaussian surface will contribute to the electric flux . In this case a cylindrical Gaussian surface perpendicular to the charge sheet is used. Hope this will help you!

In which of the following the electric field does not depend on distance?

Electric field due to charge sheet does not depend on distance.

What is the electric field due to an infinite line of charge?

The electric field of an infinite line charge with a uniform linear charge density can be obtained by a using Gauss’ law. Considering a Gaussian surface in the form of a cylinder at radius r, the electric field has the same magnitude at every point of the cylinder and is directed outward.

Is electric field of infinite plane constant?

Conclusion: An infinite plane sheet of charge creates a CONSTANT electric field .

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Does electric field depends on distance?

Originally Answered: Does the electric field depend on distance? Yes , E always follows the inverse Square law, as all natural phenomena obey. E=F/q = kq/r^2. E increases as distance decreases.

How does the electric field of an infinite line of charge vary with distance?

To take it one dimension further, for an infinite plane of uniform charge, the field lines are perpendicular to the surface and therefore parallel. The flux density does not spread out with distance and so the E field does not vary with distance.

What is electric field intensity due to infinite line charge?

Section 5.5 explains one application of Gauss’ Law, which is to find the electric field due to a charged particle. Use Gauss’ Law to determine the electric field intensity due to an infinite line of charge along the z axis, having charge density ρl (units of C/m), as shown in Figure 5.6. 1.