A hollow sphere has a charge Q uniformly distributed on its surface. What is the electric field inside the sphere?
Practice Questions
1 question
Q1
A hollow sphere has a charge Q uniformly distributed on its surface. What is the electric field inside the sphere?
Q/4πε₀R²
0
Q/ε₀
Q/4πε₀
The electric field inside a hollow charged sphere is zero due to symmetry.
Questions & Step-by-step Solutions
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Q
Q: A hollow sphere has a charge Q uniformly distributed on its surface. What is the electric field inside the sphere?
Solution: The electric field inside a hollow charged sphere is zero due to symmetry.
Steps: 5
Step 1: Understand that the hollow sphere has a charge Q on its surface.
Step 2: Recognize that the charge is uniformly distributed, meaning it is spread out evenly over the surface.
Step 3: Consider the concept of electric field, which is a way to describe the force that a charge would feel in a space.
Step 4: Use the principle of symmetry: since the charge is evenly distributed, the electric field contributions from all parts of the sphere cancel each other out inside the sphere.
Step 5: Conclude that because of this cancellation, the electric field inside the hollow sphere is zero.
