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BITSAT 2013
Exam
BITSAT
Year
2013
Subject
Physics
Chapter
Electrostatics

BITSAT 2013 · Physics · Electrostatics

Three equal charges (q) are placed at corners of an equilateral...

Three equal charges (q) are placed at corners of an equilateral triangle of side aa. The force on any charge is

Options

  1. Azero
  2. B3Kq2\mathrma2\sqrt{3} \frac{\mathrm{Kq}^{2}}{\mathrma^{2}}
  3. CKq23\mathrma2\frac{\mathrm{Kq}^{2}}{\sqrt{3} \mathrma^{2}}
  4. D33Kq2\mathrma23 \sqrt{3} \frac{\mathrm{Kq}^{2}}{\mathrma^{2}}

Correct answer

B. 3Kq2\mathrma2\sqrt{3} \frac{\mathrm{Kq}^{2}}{\mathrma^{2}}

Step-by-step solution

Fnet =F2+F2+2F2cos⁡60∘=3\mathrm{F}_{\text{net }}=\sqrt{\mathrm{F}^{2}+\mathrm{F}^{2}+2 \mathrm{ F}^{2} \cos 60^{{}^{\circ}}}=\sqrt{3}F\mathrm{ F}
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