Field Inside Charged Solid Sphere
For uniformly charged solid sphere (total charge Q, radius R), field at distance r<R from center?
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About This Question
- Subject
- physics
- Chapter
- electrostatics
- Topic
- field inside charged solid sphere
- Difficulty
- Hard
- Year
- 2025
Solution
- Gauss's Law: ∮E⋅dA=Qenc/ϵ0.
- Gaussian Surface: Pick a sphere inside radius r<R.
- Enclosed Charge: Since volume density ρ=Q/(34πR3), then Qenc=ρ×(34πr3)=QR3r3.
- Equating: E(4πr2)=ϵ01⋅Q(Rr)3R=ϵ0R3Qr3.
- Solve for E: E=4πϵ01R3Qr=kR3Qr.
- Linearity: The electric field inside a uniformly charged solid non-conducting sphere increases linearly with r from the center.
This hard difficulty physics question is from the chapter electrostatics, covering the topic of field inside charged solid sphere. It appeared in the 2025 exam.
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