Using Gauss's law obtain the expression for the electric field due to uniformly charged thin spherical shell of radius R at a point outside the shell. Draw a graph showing the variation of electric tield with r, for r gt R and r lt R.

Explanation

To find the electric field due to a uniformly charged thin spherical shell of radius \( R \) at a point outside the shell using Gauss's law, follow these steps:

### Step 1: Understand the Setup
Consider a thin spherical shell of radius \( R \) with a total charge \( Q \) uniformly distributed over its surface. We want to find the electric field \( E \) at a point \( P \) located at a distance \( r \) from the center of the shell, where \( r > R \).

### Step 2: Choose a Gaussian Surface
To apply Gauss's law, we choose a Gaussian surface that is a sphere of radius \( r \) (where \( r > R \)) centered at the same point as the charged shell. This surface will help us calculate the electric flux.

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