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1. Electric Charges and Fields
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Three charges $2q,\, - q,\, - q$ are located at the vertices of an equilateral triangle. At the centre of the triangle
A
The field is zero but potential is non-zero
B
The field is non-zero but potential is zero
C
Both field and potential are zero
D
Both field and potential are non-zero
Solution

(b) Obviously, from charge configuration, at the centre electric field is non-zero. Potential at the centre due to $2q$ charge ${V_{2q}} = \frac{{2q}}{r}$
and potential due to $-q$ charge
${V – q} = – \frac{q}{r}$ ($r =$ distance of centre point)
Total potential $V = {V_{2q}} + {V_{ – q}} + {V_{ – q}} = 0$
Standard 12
Physics
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