Electric potential at a point in a sphere

Click For Summary
SUMMARY

The electric potential at a point inside an insulating sphere can be determined using the formula V = kQ/R, where V is the potential, k is Coulomb's constant, Q is the total charge, and R is the radius of the sphere. In this case, for a point at r = 40 cm within a sphere of radius 50 cm and charge Q = 12 microC, the potential remains constant throughout the interior of the sphere and equals the potential at the surface. Therefore, the potential at r = 40 cm is the same as the potential at the surface of the sphere, calculated as V = k * (12 x 10^-6 C) / (0.5 m).

PREREQUISITES
  • Understanding of electric potential and Coulomb's law
  • Familiarity with the concept of insulating versus conducting spheres
  • Knowledge of the formula for electric potential V = kQ/r
  • Basic grasp of electrostatics and electric fields
NEXT STEPS
  • Study the derivation of electric potential for insulating spheres
  • Learn about the differences between electric fields in conductors and insulators
  • Explore the implications of Gauss's law in electrostatics
  • Investigate the effects of varying charge distributions on electric potential
USEFUL FOR

Students of physics, electrical engineers, and anyone studying electrostatics who seeks to understand the behavior of electric potential in insulating materials.

agirlsrepublic
Messages
8
Reaction score
0
im having trouble finding the electric potential at a point inside a sphere at r= 40 cm where the radius of the sphere is 50 cm and the charge Q is 12 micro C.
i know that v= kQ/r at a point on the surface and at a point outside the sphere but what to i do now that i can't use total charge

does any have an idea?
please help its driving me mad
 
Last edited:
Physics news on Phys.org
I'm assuming that the sphere is a conductor, in which case there is no electric field within it. There's an electric field outside the sphere which you must do work against to make it to the surface of the sphere, meaning the potential is changing as you get closer and closer to the surface. Once you get inside of it, however, the potential doesn't change and is simply the same potential at the surface.
 
no its not..its an insulating sphere
 

Similar threads

Replies
12
Views
2K
Replies
9
Views
2K
Replies
5
Views
2K
Replies
23
Views
6K
  • · Replies 22 ·
Replies
22
Views
5K
Replies
11
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
2
Views
880