Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If a conducting sphere of radius $R$ is charged. Then the electric field at a distance $r(r>R)$ from the centre of the sphere would be, $(V=$ potential on the surface of the sphere $)$
PhysicsElectrostaticsNEETNEET 2023 (Manipur)
Options:
  • A $\frac{R V}{r^2}$
  • B $\frac{V}{r}$
  • C $\frac{r V}{R^2}$
  • D $\frac{R^2 V}{r^3}$
Solution:
1537 Upvotes Verified Answer
The correct answer is: $\frac{R V}{r^2}$
For $r>R$,
Electric field $E=\frac{K q}{r^2} \ldots$
and potential at surface of sphere $V=\frac{K q}{R}$
$\therefore$ From equation (1)
$V=\frac{E r^2}{R}$
$\Rightarrow E=\frac{R V}{r^2}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.