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A hollow sphere has a charge Q distributed uniformly over its surface. What is t
A hollow sphere has a charge Q distributed uniformly over its surface. What is the electric field inside the sphere?
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Practice Questions
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Q1
A hollow sphere has a charge Q distributed uniformly over its surface. What is the electric field inside the sphere?
Q/(4πε₀R²)
0
Q/(4πε₀)
Q/(4πε₀R)
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Inside a hollow charged sphere, the electric field is zero due to symmetry.
Questions & Step-by-step Solutions
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Q
Q: A hollow sphere has a charge Q distributed uniformly over its surface. What is the electric field inside the sphere?
Solution:
Inside a hollow charged sphere, the electric field is zero due to symmetry.
Steps: 5
Show Steps
Step 1: Understand that the hollow sphere has a charge Q on its surface.
Step 2: Recognize that the electric field is a measure of the force that a charge would feel in a certain area.
Step 3: Note that the hollow sphere is symmetrical, meaning it looks the same from all directions.
Step 4: Realize that due to this symmetry, 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.
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