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CUET · PHYSICS · PYQ PAPER 2025

In the figure, there are three infinitely long thin sheets having surface charge density \( +3\sigma, -2\sigma \) and \( +\sigma \) respectively. Determine magnitude and direction of the electric field at point A.
image

  1. A \( \frac{\sigma}{\varepsilon_0} \) towards right
  2. B \( \frac{\sigma}{2\varepsilon_0} \) towards left
  3. C \( \frac{2\sigma}{\varepsilon_0} \) towards right
  4. D \( \frac{\sigma}{\varepsilon_0} \) towards left
Verified Solution

Answer & Solution

Correct Answer

(D) \( \frac{\sigma}{\varepsilon_0} \) towards left

Step-by-step Solution

Detailed explanation

\(E_A = E_1 + E_2 + E_3\) \(E_A = (-\frac{3\sigma}{2\varepsilon_0}) + (+\frac{2\sigma}{2\varepsilon_0}) + (-\frac{\sigma}{2\varepsilon_0})\) \(E_A = \frac{(-3+2-1)\sigma}{2\varepsilon_0} = \frac{-2\sigma}{2\varepsilon_0} = -\frac{\sigma}{\varepsilon_0}\) Magnitude:…