Find the electric potential energy of a unifomly charged then spherical shell.
Text Solution
AI Generated Solution
To find the electric potential energy of a uniformly charged thin spherical shell, we can follow these steps:
### Step 1: Define the parameters
Let the radius of the spherical shell be \( R \) and the total charge on the shell be \( Q_0 \).
### Step 2: Determine the electric potential at the surface of the shell
The electric potential \( V \) at the surface of a uniformly charged spherical shell is given by the formula:
\[
...
Topper's Solved these Questions
CAPACITORS
DC PANDEY ENGLISH|Exercise Exercise|155 Videos
CAPACITORS
DC PANDEY ENGLISH|Exercise OBJECTIVE_TYPE|1 Videos
ATOMS
DC PANDEY ENGLISH|Exercise MEDICAL ENTRANCES GALLERY|42 Videos
COMMUNICATION SYSTEM
DC PANDEY ENGLISH|Exercise Subjective|11 Videos
Similar Questions
Explore conceptually related problems
Find the electric potential energy of a uniformly charged sphere.
The electrostatic potential of a uniformly charged thin spherical shell of charge Q and radius R at a distance r from the centre
Find the electric potential energy of the system of charges
A point charge +Q is placed at the centre of an isolated conducting shell of radius R. Find the electrostatic potential energy stored outside the spherical shell if the shell also contains charge +Q distributed uniformly over it.
Find out energy stored in the electric field of uniformly charged thin spherical shell of total charge Q and radius R.
State Gauss's theorem in electrostatics. Apply this theorem to derive an expression for electric field intensity at a point outside a uniformly charged thin spherical shell.
Sketch the electric field lines for a unifomly charged hollow cylinder shown in Fig.
Sketch the electric field lines for a unifomly charged hollow cylinder shown in Fig.
The point charge is placed outside a spherical shell as shown i the figure. Find the electric potential (in kilo volt) on the surface of shell (Take: q=1 mu c and R=50cm )
Assertion : Spherical shell a in the shown figure has a charge -q and shell B has charge +q . When these two are connected by a thin conducting wire, then whole of the electrostatic potential energy stored between the shell is lost. Reason : Whole of the inner charge will transfer to outer shell B.