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CUET · PHYSICS · PYQ PAPER 2023

Which of the following is the correct relation between electric intensity E and electric potential V :

  1. A \( V = \frac{dE}{dr} \)
  2. B \( V = -\frac{dE}{dr} \)
  3. C \( E = -\frac{dV}{dr} \)
  4. D \( E = \frac{dV}{dr} \)
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Answer & Solution

Correct Answer

(C) \( E = -\frac{dV}{dr} \)

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Detailed explanation

The electric field intensity \(E\) is defined as the negative gradient of electric potential \(V\). This means that the electric field points in the direction where the potential decreases most rapidly, and its magnitude is equal to the rate of change of potential with distance.…
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