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AP EAMCET · PHYSICS · Electrostatics

Two charged conducting spheres of radii 5 cm and 10 cm have equal surface charge densities. If the electric field on the surface of the smaller sphere is E, then the electric field on the surface of the larger sphere is

  1. A \(2 E\)
  2. B \(4 E\)
  3. C \(0.5 E\)
  4. D \(E\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(E\)

Step-by-step Solution

Detailed explanation

\(E = \frac{\sigma}{\epsilon_0}\) Given \(\sigma_1 = \sigma_2\) \(E_1 = \frac{\sigma_1}{\epsilon_0} = E\) \(E_2 = \frac{\sigma_2}{\epsilon_0} = \frac{\sigma_1}{\epsilon_0} = E\)