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A spherical shell of radius R carries a uniform surface charge density σ. What i
A spherical shell of radius R carries a uniform surface charge density σ. What is the electric field inside the shell?
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Practice Questions
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Q1
A spherical shell of radius R carries a uniform surface charge density σ. What is the electric field inside the shell?
0
σ/ε₀
σ/2ε₀
σ/4ε₀
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By Gauss's law, the electric field inside a uniformly charged spherical shell is zero.
Questions & Step-by-step Solutions
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Q
Q: A spherical shell of radius R carries a uniform surface charge density σ. What is the electric field inside the shell?
Solution:
By Gauss's law, the electric field inside a uniformly charged spherical shell is zero.
Steps: 5
Show Steps
Step 1: Understand that we have a spherical shell with a radius R and it has a uniform surface charge density σ.
Step 2: Recall Gauss's law, which states that the electric field can be determined by the charge enclosed in a closed surface.
Step 3: Consider a point inside the spherical shell. Since the shell is uniformly charged, any point inside does not enclose any charge.
Step 4: Since there is no charge inside the Gaussian surface we choose (which is inside the shell), the electric field at that point must be zero.
Step 5: Conclude that the electric field inside the spherical shell is zero.
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