A) the field is zero but potential is non-zero
B) potential is zero and the field is infinity
C) both the field and potential are zero
D) both the field and potential are non-zero
E) the field is non-zero but potential is zero
Correct Answer: E
Solution :
Potential due to charge -q at A \[{{V}_{A}}=\frac{1}{4\pi {{\varepsilon }_{0}}K}\frac{-q}{{{({{r}^{2}})}^{1/2}}}\] Potential due to charge -q at B \[{{V}_{B}}=\frac{1}{4\pi {{\varepsilon }_{0}}K}\frac{-q}{{{({{r}^{2}})}^{1/2}}}\] Potential due to charge\[+2q\]at C \[{{V}_{C}}=\frac{1}{4\pi {{\varepsilon }_{0}}K}\frac{2q}{{{({{r}^{2}})}^{1/2}}}\] Total potential at centre \[V={{V}_{A}}+{{V}_{B}}+{{V}_{C}}\] \[V=0\] From charge configuration at the centre electric field is non-zero.You need to login to perform this action.
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