Three charges 2q, -q and -q are located at th | vedclass

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(B) Let $r$ be the distance from each vertex to the center of the equilateral triangle.The electric potential $V$ at the center is the algebraic sum o

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the field is non-zero but potential is zero.

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(B) Let $r$ be the distance from each vertex to the center of the equilateral triangle.The electric potential $V$ at the center is the algebraic sum of potentials due to individual charges:$V = \frac{1}{4 \pi \varepsilon_{0}} \left( \frac{2q}{r} + \frac{-q}{r} + \frac{-q}{r} \right)$$V = \frac{1}{4 \pi \varepsilon_{0} r} (2q - q - q) = 0$The electric field $\vec{E}$ at the center is the vector sum of fields due to individual charges. Since the charges are not equal in magnitude and are not symmetrically arranged in a way that their field vectors cancel out,the net electric field $\vec{E}$ is non-zero.Specifically,the field due to $2q$ points away from it,while the fields due to the two $-q$ charges point towards them. These vectors do not sum to zero.Therefore,the field is non-zero but the potential is zero.

Three charges $2q, -q$ and $-q$ are located at the vertices of an equilateral triangle. At the center of the triangle,

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