Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Apply Gauss law to show that for a charged spherical shell, the electric field outside the shell is, as if the entire charge were concentrated at the centre.

Apply Gauss law to show that for a charged spherical shell, the electric field outside the shell is, as if the entire charge were concentrated at the centre.

Answers (1)

Let us consider a spherical shell P with centre 'O' and Radius (R), also consider a gaussian surface outside the shell at a distance r from the centre of the shell.

the electric flux through the surface

 \phi = E \times 4\pi r^{2}\; \; \; \; \; \; \; (i)

from gauss law, we have

\phi = \frac{q}{\varepsilon _{o}}\; \; \; \; \; \; \; (ii)

Now, from equation (i) and (ii), we have

\frac{q}{\varepsilon _{o}}=E\times 4\pi r^{2}

E=\frac{1}{4\pi \varepsilon _{o}}\frac{q}{r^{2}}

This electric field is similar to that of a point charge q placed at the centre.

Posted by

Safeer PP

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years
anam-khan

CBSE Class 12 accountancy board exam analysis 2024 out; paper rated easy, balanced

Latest Question