JEE Mains · Physics · STD 12 - 1. Electric charges and fields
Two short electric dipoles \(A\) and \(B\) having dipole moment \(p_1\) and \(p_2\) respectively are placed with their axis mutually perpendicular as shown in the figure. The resultant electric field at a point \(x\) is making an angle of \(60°\) with the line joining points \(O\) and \(x\). The ratio of the dipole moments \(p_2/p_1\) is _______.
- A \(\dfrac{\sqrt{3}}{2}\)
- B \(2\sqrt{3}\)
- C \(\dfrac{1}{\sqrt{3}}\)
- D \(\sqrt{3}\)
Answer & Solution
Correct Answer
(B) \(2\sqrt{3}\)
Step-by-step Solution
Detailed explanation
Let the distance of point \(x\) from the origin \(O\) be \(r\). Point \(x\) lies on the axial line of dipole A. The electric field at \(x\) due to dipole A is directed along the horizontal axis and its magnitude is given by: \(E_A = \dfrac{1}{4\pi\epsilon_0} \dfrac{2p_1}{r^3}\)…
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