The electric potential inside a uniformly charged thin spherical shell of radius 20 cm is 10 V.
What is the electric potential inside a uniformly charged spherical shell?
Inside the sphere, the field is zero, therefore, no work needs to be done to move the charge inside the sphere and, therefore, the potential there does not change.
What is the electric potential inside a charged spherical conductor?
The electric potential inside a charged spherical conductor of radius R is given by V = keQ/R, and the potential outside is given by V = keQ/r. Using Er = -dV/dr, derive the electric field inside and outside this charge distribution.
What is the value of electrostatic potential at the Centre of a charged sphere?
For the electric potential at the centre Vcentre, x=0. Hence, the potential at the centre is greater than the potential at any other inside point.
What is the electric field inside the charged shell?
Now, the gaussian surface encloses no charge, since all of the charge lies on the shell, so it follows from Gauss’ law, and symmetry, that the electric field inside the shell is zero.
Why is potential constant inside a charged sphere?
When a conductor is at equilibrium, the electric field inside it is constrained to be zero. Since the electric field is equal to the rate of change of potential, this implies that the voltage inside a conductor at equilibrium is constrained to be constant at the value it reaches at the surface of the conductor.
What is the potential inside a spherical shell of radius R?
The gravitational potential of a spherical shell of mass M and radius R on the surface of the shell is given by, V=−GMR.
What is the electric potential inside a sphere?
If the sphere is a conductor we know the field inside the sphere is zero. What about the potential? Because E = 0, we can only conclude that ΔV is also zero, so V is constant and equal to the value of the potential at the outer surface of the sphere.
What is the electric field inside a charged spherical sphere?
Thus outside the sphere, the electric field behaves as though it is due to a point charge (carrying all the charge of the shell) at the centre of the shell.
|PHYSICS Related Links|
|Spectral Series||units and measurements class 11 important questions|
What is the electric potential of a sphere?
The potential of the charged conducting sphere is the same as that of an equal point charge at its center. V=kqr. q=rVk=(0.125m)(100×103V)8.99×109N⋅m2/C2=1.39×10−6C=1.39μC.
How do you find the electric potential at the center of a sphere?
The usual formula of kq/R for a sphere is obtained by taking the potential at infinity (with no intervening dielectric) as zero. A more generic formula would be kq/R+c, where c is whatever constant is necessary to fit with the chosen zero potential.