Question: How does electric field and electric potential vary with distance from point charge?

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

How does electric potential vary with distance?

Electric Potential V of a Point Charge Thus V for a point charge decreases with distance, whereas E for a point charge decreases with distance squared: E=Fq=kQr2 E = F q = k Q r 2 .

What happens to the electric potential energy if the distance between the source charge and the test charge is tripled?

A doubling of the separation distance between two point charges results in a quadrupling of the electric force. A tripling of the separation distance between two point charges results in an electric force which is one-sixth of the original value.

What is the relationship between electric field and electric potential?

⇒ V=Kqr. The relation between electric field and potential is similar to that of the relation between gravitational potential and the field. The relation between Electric field and Potential is generally given by -the electric field is the negative gradient of the electric potential.

How does electric field vary from point to point?

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

How does electric potential vary from point to point due to a thin charged spherical shell?

For all the points lie inside the thin charged spherical shell, the gaussian surface through the point will not enclose any charge and hence there won’t be any Electric Field but Electric potential exists and is same everywhere and is equal to that at a point on its surface which can be given as.

Does the electric potential energy increase decrease or stay the same explain?

For case (a), if a positive charge is moved from position i to position f, does the electric potential energy increase, decrease, or stay the same? Electric potential energy stays the same.

How does the electric force between two charged particles change if the distance between them is increased by a factor of 2?

The size of the force varies inversely as the square of the distance between the two charges. Therefore, if the distance between the two charges is doubled, the attraction or repulsion becomes weaker, decreasing to one-fourth of the original value.

What is the relationship between the electric field E and the electric potential V between the plates of the capacitors?

Electric field strength

In a simple parallel-plate capacitor, a voltage applied between two conductive plates creates a uniform electric field between those plates. The electric field strength in a capacitor is directly proportional to the voltage applied and inversely proportional to the distance between the plates.

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What is the relationship between the electric field and electric potential V between the plates of the capacitor?

If the charge is uniform at all points, however high the electric potential is, there will not be any electric field. Thus, the relation between electric field and electric potential can be generally expressed as – “Electric field is the negative space derivative of electric potential.”

What is the relationship between the field strength and the distance between the charges?

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. Electric field strength is location dependent, and its magnitude decreases as the distance from a location to the source increases.