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CUET · PHYSICS · PYQ PAPER 2023

Which of the following shows the correct relation between electric Intensity \(E\), and electric potential \(V\) :

  1. A \(V=\frac{d E}{d r}\)
  2. B \(E=\frac{d V}{d r}\)
  3. C \(E=\frac{-d V}{d r}\)
  4. D \(E=\frac{-d V}{d r}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(E=\frac{-d V}{d r}\)

Step-by-step Solution

Detailed explanation

Electric intensity ( \(E\) ) is defined as the negative gradient of electric potential ( \(V\) ) with respect to distance ( \(r\) ). The negative sign indicates that the direction of the electric field is always in the direction of decreasing electric potential. Mathematically,…