Solved: PHYSICS Question for NEET

NEET PHYSICSEasy

Four point charges -Q, -q, 2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero, is

Q = -q

Q = -1/q

Q = q

Q = 1/q

Step-by-Step Solution

Formula for Potential: The electric potential $V$ at a distance $r$ from a point charge $q$ is given by $V = \frac{1}{4\pi\varepsilon_0} \frac{q}{r}$ [1].
Superposition Principle: The total potential at a point due to a system of charges is the algebraic sum of the potentials due to the individual charges [2].
Application to Square: Let the distance from the centre of the square to each corner be $r$ . Since the point is the centre, $r$ is the same for all four charges.
Calculation: The total potential $V_{center}$ is: $V_{center} = \frac{1}{4\pi\varepsilon_0 r} (-Q - q + 2q + 2Q)$ For the potential to be zero ( $V_{center} = 0$ ), the term in the parentheses must be zero: $-Q - q + 2q + 2Q = 0$ $Q + q = 0$ $Q = -q$

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