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AP EAMCET · PHYSICS · Electrostatics

Three identical charges, each \(2 \mu \mathrm{C}\) lie at the vertices of a right angled triangle as shown in the figure. Forces on the charge at \(B\) due to the charges at \(A\) and \(C\) respectively are \(F_1\) and \(F_2\). The angle between their resultant force and \(F_2\) is

  1. A \(\tan ^{-1}\left(\frac{9}{16}\right)\)
  2. B \(\tan ^{-1}\left(\frac{9}{7}\right)\)
  3. C \(\tan ^{-1}\left(\frac{16}{9}\right)\)
  4. D \(\tan ^{-1}\left(\frac{7}{9}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\tan ^{-1}\left(\frac{16}{9}\right)\)

Step-by-step Solution

Detailed explanation

From figure the net force \(F_{\text {net }}\) due to \(F_1\) and \(F_2\) makes an angle \(\theta\) with force \(\mathrm{F}_2\)…