The electric potential at a point due to a given charge...

The electric potential at a point due to a given charge varies inversely as the square of the distance of the point from the charge. The statement is (a) true (b) false (c) neither true nor false (d) None of these Passage III The given figure shown an arrangement of four parallel, conducting plate of area $A$ each. All the plates are equally separated by $d .$ The plates $A$ and $D$ are joined together and a battery of emf $E$ volt, is attached between the plates $B$ and $C$. $A$

The electric potential at a point due to a given charge varies inversely as the square of the distance of the point from the charge. The statement is
(a) true
(b) false
(c) neither true nor false
(d) None of these
Passage III The given figure shown an arrangement of four parallel, conducting plate of area $A$ each. All the plates are equally separated by $d .$ The plates $A$ and $D$ are joined together and a battery of emf $E$ volt, is attached between the plates $B$ and $C$. $A$

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Key Concepts

Electric Potential of a Point Charge

This concept explains that the electric potential created by a point charge at a certain distance is given by V = kQ/r, meaning it varies inversely with the distance from the charge. The potential does not follow an inverse square law but rather decreases linearly with increasing distance, making the statement in question false.

Inverse Square Law

The inverse square law is fundamental in physics and applies to the electric field and forces between charges, where quantities vary as 1/r² with distance. However, while the electric force between charges follows this law, the electric potential, being an integral of the field, varies as 1/r, highlighting the distinction necessary for properly evaluating the statement.

Capacitor Plate Configuration

This concept relates to the arrangement of multiple conducting plates connected with a battery as described in the passage. It involves understanding how capacitors are formed with parallel plates, how their capacitance depends on factors such as plate area and separation, and how connecting certain plates alters the overall behavior of the system. Although this configuration is separate from the point charge potential discussion, it is an essential concept in electrostatics and circuits.

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