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CUET · PHYSICS · PYQ PAPER 2023

The electric field is defined as \(\vec{E} = \lim_{q_0 \to 0} \frac{\vec{F}}{q_0}\) where \(q_0\) is the test charge and \(\vec{F}\) force on \(q_0\) due to the source charge. The meaning of \(\lim_{q_0 \to 0}\) is :

  1. A The source charge must remain at its original location and its electric field is not affected
  2. B The source charge must not remain at its original location.
  3. C The test charge (\(q_0\)) is not bound to experience an electric force due to the source charge
  4. D The test charge \(q_0\) has no effect on it due to the source charge
Verified Solution

Answer & Solution

Correct Answer

(A) The source charge must remain at its original location and its electric field is not affected

Step-by-step Solution

Detailed explanation

Minimizing Disturbance: A test charge \(q_0\) produces its own electric field. If \(q_0\) is large, its field could exert a force on the source charges, causing them to move or redistribute. Accuracy: By making the test charge infinitesimally small (vanishingly small), we ensure…