A charged sphere has a radius R and a total charge Q. What is the electric potential at a point outside the sphere at a distance r from the center (r > R)?
Practice Questions
1 question
Q1
A charged sphere has a radius R and a total charge Q. What is the electric potential at a point outside the sphere at a distance r from the center (r > R)?
kQ/R
kQ/r
kQ/(R+r)
0
For a charged sphere, the electric potential outside the sphere behaves as if all the charge were concentrated at the center, so V = kQ/r.
Questions & Step-by-step Solutions
1 item
Q
Q: A charged sphere has a radius R and a total charge Q. What is the electric potential at a point outside the sphere at a distance r from the center (r > R)?
Solution: For a charged sphere, the electric potential outside the sphere behaves as if all the charge were concentrated at the center, so V = kQ/r.
Steps: 5
Step 1: Understand that we have a charged sphere with a total charge Q and a radius R.
Step 2: Identify the point where we want to find the electric potential, which is outside the sphere at a distance r from the center (where r is greater than R).
Step 3: Recall that for a charged sphere, the electric potential outside the sphere can be treated as if all the charge Q is concentrated at the center of the sphere.
Step 4: Use the formula for electric potential V at a distance r from a point charge, which is V = kQ/r, where k is a constant (Coulomb's constant).
Step 5: Substitute the values into the formula to find the electric potential at the point outside the sphere.
