Three charges $2 \mathrm{q},-\mathrm{q}$ and -q are located at the vertices of an equilateral triangle. At…

1. the field is zero but potential is non-zero.
2. the field is non-zero but potential is zero.
3. both field and potential are zero.
4. both field and potential are non-zero.

Solution

From charge configuration, at the centre electric field is non-zero. Potential at the centre due to $2 q$ charge $V_{2 q}=\frac{2 q}{r}$
and potential due to -q charge $V_{-q}=-\frac{q}{r} \quad(r=\text { distance of centre point })$ $\therefore \quad$ total potential $\mathrm{V}=\mathrm{V}_{2 \mathrm{q}}+\mathrm{V}_{-\mathrm{q}}+\mathrm{V}_{-\mathrm{q}}=0$

Asked in: MHT CET 2024 (03 May Shift 1)

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