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AP EAMCET · PHYSICS · Electrostatics

The electric field in a region of space is given as \(\mathbf{E}=\left(5 \mathrm{NC}^{-1}\right) x \hat{i}\). Consider point \(A\) on the \(Y\)-axis at \(y=5 \mathrm{~m}\) and point \(B\) on the \(X\)-axis at \(x=2 \mathrm{~m}\). If the potentials at points \(A\) and \(B\) are \(V_A\) and \(V_B\) respectively, then \(\left(V_B-V_A\right)\) is

  1. A \(-15 \mathrm{~V}\)
  2. B \(8 \mathrm{~V}\)
  3. C \(-10 \mathrm{~V}\)
  4. D \(-12.5 \mathrm{~V}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(-10 \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

The given situation is shown below Since, electric field is directed along the \(X\) - axis, hence, point \(A\) and \(C\) lie on equipotential surface \(\therefore\) Potential at point \(C=\) Potential at point \(A\) \(\Rightarrow \quad V_C=V_A\)…