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NEET PHYSICSELECTRIC CHARGES AND FIELDSEasy

Question

The electric field at a distance 3R/2 from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2 from the centre of the sphere is

A

zero

B

E

C

E/2

D

E/3

Step-by-Step Solution

For a charged conducting spherical shell of radius RR, the electric field behavior is determined by Gauss's Law:

  1. Outside the shell (r>Rr > R): The electric field is non-zero and given by E=14πε0qr2E = \frac{1}{4\pi\varepsilon_0}\frac{q}{r^2}. The distance 3R/2=1.5R3R/2 = 1.5R is greater than RR, so this point lies outside the shell.
  2. Inside the shell (r<Rr < R): The electric field is zero at all points inside a charged spherical shell. This is because a Gaussian surface drawn inside the shell encloses no charge (qenclosed=0q_{enclosed} = 0). Furthermore, for any conductor in electrostatic equilibrium, the electric field inside is always zero , , .

Since the distance R/2=0.5RR/2 = 0.5R is less than RR, the point lies inside the shell. Therefore, the electric field is zero.

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from ELECTRIC CHARGES AND FIELDS. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSELECTRIC CHARGES AND FIELDSelectricdistancecentrechargedconducting

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