Physics · Electric flux, Gauss's law and its applications to find field due to infinitely long uniformly charged straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell

The electric field at a distance from the centre of a charged conducting spheric

The electric field at a distance \( \frac{3 R}{2} \) from the centre of a charged conducting spherical shell of radius \( \mathrm{R} \) is \( \mathrm{E} \). The electric field at a distance \( \frac{\boldsymbol{R}}{\mathbf{2}} \) from the centre of the sphere is :

  • A. zero
  • B. E
  • C. \( \frac{E}{2} \)
  • D. \( \frac{E}{3} \)

Step-by-step solution

For a charged conducting spherical shell, the charge resides on its outer surface. Inside the shell (r < R), the electric field is zero due to electrostatic shielding. Given distance R/2 is less than R, so the electric field there is zero.
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