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TS EAMCET · Physics · Electrostatics

Two point charges \(-q\) and \(+q\) are located at points \((0,0,-a)\) and \((0,0, a)\) respectively. The electric potential at a point \((0,0, z)\), where \(z>a\) is

  1. A \(\frac{q a}{4 \pi \varepsilon_0 z^2}\)
  2. B \(\frac{q}{4 \pi \varepsilon_0 a}\)
  3. C \(\frac{2 q a}{4 \pi \varepsilon_0\left(z^2-a^2\right)}\)
  4. D \(\frac{2 q a}{4 \pi \varepsilon_0\left(z^2+a^2\right)}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{2 q a}{4 \pi \varepsilon_0\left(z^2+a^2\right)}\)

Step-by-step Solution

Detailed explanation

Potential at \(P\) due to \((+q)\) charge \(V_1=\frac{1}{4 \pi \varepsilon_0} \cdot \frac{q}{(z-a)}\) Potential at \(P\) due to \((-q)\) charge \(V_2=\frac{1}{4 \pi \varepsilon_0} \cdot \frac{-q}{(z+a)}\) Total potential at \(P\) due to \((A B)\) electric dipole…
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