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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 ___________.
- A \(\frac{\mathrm{Q}}{4 \pi \varepsilon_0 \mathrm{R}}\)
- B \(\frac{\mathrm{Q}}{\pi \varepsilon_0 \mathrm{R}}\)
- C \(\frac{\mathrm{Q}}{2 \pi \varepsilon_0 \mathrm{R}}\)
- D \(\frac{\mathrm{Q}}{8 \pi \varepsilon_0 \mathrm{R}}\)
Answer & Solution
Correct Answer
(A) \(\frac{\mathrm{Q}}{4 \pi \varepsilon_0 \mathrm{R}}\)
Step-by-step Solution
Detailed explanation
\(V = \frac{1}{4 \pi \varepsilon_0} \frac{Q}{R}\) \(V_{r=R/2} = \frac{Q}{4 \pi \varepsilon_0 R}\)
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