ExamBro
ExamBro
GUJCET · Physics · Electrostatic Potential and Capacitance

The total charge on a uniformly charged spherical shell having radius R is Q Then electric potential at a distance \(r=\mathrm{R} / 2\) from the centre of the shell ___________.

  1. A \(\frac{\mathrm{Q}}{4 \pi \varepsilon_0 \mathrm{R}}\)
  2. B \(\frac{\mathrm{Q}}{\pi \varepsilon_0 \mathrm{R}}\)
  3. C \(\frac{\mathrm{Q}}{2 \pi \varepsilon_0 \mathrm{R}}\)
  4. D \(\frac{\mathrm{Q}}{8 \pi \varepsilon_0 \mathrm{R}}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{\mathrm{Q}}{4 \pi \varepsilon_0 \mathrm{R}}\)

Step-by-step Solution

Detailed explanation

\(V = \frac{1}{4 \pi \varepsilon_0} \frac{Q}{R}\) \(V_{r=R/2} = \frac{Q}{4 \pi \varepsilon_0 R}\)