What is the electric field at a point outside a uniformly charged sphere of radi

₹0.0

Question: What is the electric field at a point outside a uniformly charged sphere of radius R and total charge Q?

Options:

Correct Answer: Q/(4πε₀R²)

Solution:

For a point outside a uniformly charged sphere, the electric field behaves as if all the charge were concentrated at the center, so E = Q/(4πε₀R²).

What is the electric field at a point outside a uniformly charged sphere of radius R and total charge Q?

What is the electric field at a point outside a uniformly charged sphere of radius R and total charge Q?

Correct Answer: E = Q/(4πε₀R²)

Step 1: Understand that we have a uniformly charged sphere with a radius R and total charge Q.
Step 2: Identify the point where we want to find the electric field. This point is outside the sphere.
Step 3: Recall that for points outside a uniformly charged sphere, the electric field behaves like the field from a point charge located at the center of the sphere.
Step 4: Use the formula for the electric field due to a point charge, which is E = Q/(4πε₀r²), where r is the distance from the center to the point where we measure the field.
Step 5: Since we are outside the sphere, we can replace r with R (the radius of the sphere) in the formula, but we need to ensure that R is the distance from the center to the point of interest.
Step 6: Conclude that the electric field at a point outside the uniformly charged sphere is given by E = Q/(4πε₀R²).

No concepts available.