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WBJEE · Physics · Electrostatics

The figure represents two equipotential lines in \(\mathrm{x}-\mathrm{y}\) plane for an electric field. The \(\mathrm{x}\)-component \(\mathrm{E}_{\mathrm{x}}\) of the electric field in space between these equipotential lines is,

  1. A \(100 \mathrm{~V} / \mathrm{m}\)
  2. B \(-100 \mathrm{~V} / \mathrm{m}\)
  3. C \(200 \mathrm{~V} / \mathrm{m}\)
  4. D \(-200 \mathrm{~V} / \mathrm{m}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(-100 \mathrm{~V} / \mathrm{m}\)

Step-by-step Solution

Detailed explanation

Hint : \(E_{\mathrm{x}}=-\frac{d v}{d x}=-\left(\frac{4-2}{2}\right)=-1 \mathrm{~V} / \mathrm{cm}=-100 \mathrm{~V} / \mathrm{m}\)