Gujarati
1. Electric Charges and Fields
normal

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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