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AP EAMCET · PHYSICS · Electrostatics

Four charges, each charge \(q\) coulomb are placed at points \((-1,0,0),(1,0,0),(0,-1,0)\) and \((0,1,0)\) in the \(x y\)-plane. The distance along the axes are measured in metres. The magnitude of the electric field at the point \(z=1 \mathrm{~m}\) on the \(Z\)-axis is

  1. A \(\frac{1}{2 \sqrt{2}} \frac{q}{\pi \varepsilon_0} \mathrm{~N} / \mathrm{C}\)
  2. B \(\frac{1}{4} \frac{q}{\pi \varepsilon_0} \mathrm{~N} / \mathrm{C}\)
  3. C \(\frac{q}{\pi \varepsilon_0} \mathrm{~N} / \mathrm{C}\)
  4. D \(\frac{q}{2 \pi \varepsilon_0} N / C\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{1}{2 \sqrt{2}} \frac{q}{\pi \varepsilon_0} \mathrm{~N} / \mathrm{C}\)

Step-by-step Solution

Detailed explanation

The given situation is shown below. According to given situation we have to find electric field at point \(P(0,0,1)\). Distance of point \(P\) from each charges is equal to…
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