Home
Class 12
PHYSICS
Derive an expression for electric intens...

Derive an expression for electric intensity E due to a uniformly charged thin spherical shell at a point outside the shell.

Text Solution

AI Generated Solution

To derive the expression for electric intensity \( E \) due to a uniformly charged thin spherical shell at a point outside the shell, we will follow these steps: ### Step 1: Understand the Setup Consider a uniformly charged thin spherical shell with total charge \( Q \) and radius \( R \). We want to find the electric field intensity \( E \) at a point outside the shell, at a distance \( r \) from the center of the shell, where \( r > R \). ### Step 2: Apply Gauss's Law According to Gauss's Law, the electric flux \( \Phi_E \) through a closed surface is proportional to the charge enclosed by that surface. Mathematically, it is expressed as: \[ ...
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    MBD -HARYANA BOARD|Exercise OBJECTIVE TYPE QUESTIONS|23 Videos

  • ELECTROSTATICS

    MBD -HARYANA BOARD|Exercise SHORT ANSWER TYPE QUESTIONS|11 Videos

  • Electromagnetic Waves

    MBD -HARYANA BOARD|Exercise Example|7 Videos

  • MAGNETISM

    MBD -HARYANA BOARD|Exercise OBJECTIVE TYPE QUESTIONS|17 Videos

Similar Questions

Explore conceptually related problems

Find expression for electric field intensity due to a uniformly charged thin spherical shell at a point outside the shell.

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.

Find the electric potential energy of a unifomly charged then spherical shell.

Using Gauss’s theorem in electrostatics, deduce an expression for electric field intensity due to a charged spherical shell at a point (i) inside (ii) on its surface (iii) outside it. Graphically show the variation of electric field intensity with distance from the centre of shell.

(a) Using Gauss's law, derive an expression for the electric field intensity at any point outside a uniformly charged thin spherical shell of radius R and charge density sigma C//m^(2) . Draw the field lines when the charge density of the sphere is (i) positive, (ii) negative. (b) A uniformly charged conducting sphere of 2.5 m in diameter has a surface charge density of 100 mu C//m^(2) . Calculate the (i) charge on the sphere (ii) total electric flux passing through the sphere.

Derive an expression for electric field intensity at a point due to point charge.

Derive an expression for electric field intensity E due to an infinite place sheet of charge.