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What is the effect of increasing the radius of a spherical Gaussian surface encl
What is the effect of increasing the radius of a spherical Gaussian surface enclosing a fixed charge?
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Practice Questions
1 question
Q1
What is the effect of increasing the radius of a spherical Gaussian surface enclosing a fixed charge?
Electric field increases.
Electric field decreases.
Electric field remains constant.
Electric field becomes zero.
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The electric field due to a point charge decreases with distance, but the total flux remains constant as the charge is fixed.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the effect of increasing the radius of a spherical Gaussian surface enclosing a fixed charge?
Solution:
The electric field due to a point charge decreases with distance, but the total flux remains constant as the charge is fixed.
Steps: 5
Show Steps
Step 1: Understand that a spherical Gaussian surface is an imaginary sphere used to analyze electric fields.
Step 2: Recognize that the fixed charge inside the sphere creates an electric field around it.
Step 3: Know that the electric field strength decreases as you move further away from the charge.
Step 4: Realize that the total electric flux through the Gaussian surface depends only on the amount of charge inside, not the size of the surface.
Step 5: Conclude that even if the radius of the sphere increases, the total electric flux remains the same because the charge is fixed.
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