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A hollow sphere with charge Q has a radius R. What is the electric field at a po
Practice Questions
Q1
A hollow sphere with charge Q has a radius R. What is the electric field at a point inside the sphere?
Q/(4πε₀R²)
0
Q/(4πε₀R)
Q/(2πε₀R²)
Questions & Step-by-Step Solutions
A hollow sphere with charge Q has a radius R. What is the electric field at a point inside the sphere?
Steps
Concepts
Step 1: Understand that we have a hollow sphere with charge Q and radius R.
Step 2: Recognize that we want to find the electric field at a point inside this hollow sphere.
Step 3: Recall that electric fields are affected by the distribution of charge around them.
Step 4: Note that the hollow sphere has charge only on its surface, and there is no charge inside it.
Step 5: Use Gauss's law, which states that the electric field inside a closed surface with no charge inside is zero.
Step 6: Conclude that because there is no charge inside the hollow sphere, the electric field at any point inside the sphere is zero.
Gauss's Law
– The electric field inside a hollow conductor is zero due to the symmetrical distribution of charge.
Electric Field
– Understanding how electric fields behave in different charge distributions, particularly in conductors.
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