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JEE Mains · Physics · STD 12 - 1. Electric charges and fields
Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure
- A \(\sqrt 3 q\ell \,\frac{{\hat j - \hat i}}{{\sqrt 2 }}\)
- B \((q\ell )\,\frac{{\hat i + \hat j}}{{\sqrt 2 }}\)
- C \(2q\ell \,\hat j\)
- D \( - \sqrt 3 q\ell \,\hat j\)
Answer & Solution
Correct Answer
(D) \( - \sqrt 3 q\ell \,\hat j\)
Step-by-step Solution
Detailed explanation
\(|\overrightarrow {\text{P}} | = {\text{qL}}\) \({\overrightarrow {\text{P}} _{{\text{net}}}} = 2{\text{P}}\cos {30^\circ }( - \widehat {\text{j}})\) \( = {\text{P}}\sqrt 3 ( - \widehat {\text{j}})\) \( = \sqrt 3 {\text{qL}}( - \widehat {\text{j}})\)
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