How does electric field at a point charge with distance r from an infinitely long charged wire?

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How does electric field at a point vary with distance from a point electric charge?

The electric field varies inversely as the square of the distance from the point charge.

How does the electric field due to an infinite line of charge depend on the distance to the line?

if you have a point r distance above the end of the line, as the distance increases the electric field would decrease because the “ends” behave like point charges.

How does electric field change near an infinite line 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.

What is the electric field at a point charge?

The electric field of a point charge is, like any electric field, a vector field that represents the effect that the point charge has on other charges around it. The effect is felt as a force, and when charged particles are not in motion, this force is known as the electrostatic force.

What is electric field due to point charge?

The electric field due to a given electric charge Q is defined as the space around the charge in which electrostatic force of attraction or repulsion due to the charge Q can be experienced by another charge q.

Does electric field depends on distance?

This is known as an inverse square law. Electric field strength is location dependent, and its magnitude decreases as the distance from a location to the source increases. And by whatever factor the distance is changed, the electric field strength will change inversely by the square of that factor.

Does distance matter for electric field?

Amazingly, the field expression contains no distance term, so the field from a plane does not fall off with distance! For this imagined infinite plane of charge, it doesn’t matter if you are one millimeter or one kilometer away from the plane, the electric field is the same.

What is the electric field due to infinite wire?

The distance between point P and the wire is r. The wire is considered to be a cylindrical Gaussian surface. This is because to determine the electric field →E at point P Gauss law is used. Therefore, the above equation is the electric field due to an infinitely long straight uniformly charged wire.

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How does the magnitude of the electric field vary with the radial distance r from the cylinder’s long central axis inside the hole in the cylinder?

How does the magnitude of the electric field vary with the radial distance r from the cylinder’s long central axis outside the cylinder? The field strength decreases like 1r.

What is the meaning of infinite line charge?

Consider an infinite line of charge with uniform charge density per unit length λ. First, let’s agree that if the charge on the line is positive, the field is directed radially out from the line. … If it is negative, the field is directed in.

How close does the proton get to the line of charge?

An infinitely long line of charge has linear charge density 6.00×1012 C/m . A proton (mass 1.67×10−27 kg,charge +1.60×10−19 C) is 12.0 cm from the line and moving directly toward the line at 4.10×103 m/s .

Is the electric field due to infinitely long line of charge is uniform in space?

Therefore, the direction of electric field must always be along the line joining the line of charge and the point in space. Hence, the electric field’s magnitude is identical for all the points which are equidistant from the line of charge and the electric field’s direction is always away from the line of charge.