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Physics · JEE | Electric Charges and Fields

हिन्दी

Referring to the system of charges at the vertices of an equilateral triangle of side \( l \) with charges \( q, q, -q \) as shown in Figure 1.7, what is the magnitude of the total force on the charge \( -q \) placed at vertex C?

Question diagram
  1. A
    \( \frac{\sqrt{3}}{4\pi\varepsilon_0} \frac{q^2}{l^2} \)
  2. B
    \( \frac{1}{4\pi\varepsilon_0} \frac{q^2}{l^2} \)
  3. C
    \( \frac{2}{4\pi\varepsilon_0} \frac{q^2}{l^2} \)
  4. D
    \( \frac{\sqrt{2}}{4\pi\varepsilon_0} \frac{q^2}{l^2} \)
View Answer & Solution

Correct answer · Option A

\( \frac{\sqrt{3}}{4\pi\varepsilon_0} \frac{q^2}{l^2} \)

Explanation

The forces on \( -q \) due to the two \( +q \) charges each have magnitude \( F = \frac{1}{4\pi\varepsilon_0}\frac{q^2}{l^2} \) at angle \( 60^\circ \), resulting in \( F_3 = \sqrt{3}F \).
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