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What is the electric field outside a solid non-conducting uniformly charged sphere, where \[r > R\]?

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Question

What is the electric field outside a solid non-conducting uniformly charged sphere, where \[r > R\]?

Options

  • \[E = \frac{Qr}{4\pi\varepsilon_0 R^3}\]

  • \[E = \frac{Q}{4\pi\varepsilon_0 R^2}\]

  • \[E = 0\]

  • \[E = \frac{Q}{4\pi\varepsilon_0 r^2}\]

MCQ
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Solution

Outside the sphere, a concentric Gaussian surface encloses the total charge \[Q\]. The resulting field is \[E = Q/(4\pi\varepsilon_0 r^2)\].

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