Electric Charges and Fields · NEET Preparation Physics

A thin spherical shell of radius R has a total charge Q uniformly distributed over its surface. Which of the following graphs best represents the var…

Practice question from Electric Charges and Fields (NEET Preparation Physics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-DA4094

A thin spherical shell of radius RR has a total charge QQ uniformly distributed over its surface. Which of the following graphs best represents the variation of magnitude of electric field EE with distance rr from the center?

  1. A.E=0E = 0 for r<Rr < R, and decreases as 1/r21/r^2 for r≥Rr \ge RCorrect answer
  2. B.EE increases linearly for r<Rr < R, and decreases as 1/r1/r for r≥Rr \ge R
  3. C.EE is constant for r<Rr < R, and decreases as 1/r1/r for r≥Rr \ge R
  4. D.EE decreases as 1/r21/r^2 for all values of rr

Solution

For a thin spherical shell, the electric field inside the shell (r<Rr < R) is zero because no charge encloses a Gaussian surface drawn inside. Outside the shell (r≥Rr \ge R), the shell acts as a point charge situated at the center, so E=14πε0Qr2E = \frac{1}{4\pi\varepsilon_0}\frac{Q}{r^2}, which falls off as 1/r21/r^2.

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