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Lancelot59
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You are a hollow metallic sphere of inner radius r1, and outer radius r2. Inside is a charge of magnitude Q and a distance d<r1 from the centre.
First I need to draw the electric field lines for regions r<r1, r1<r<r2, and r2<r
Since the sphere is a conductor the only place where there is not an electric field is inside the shell. The point charge induces a charge on the conducting sphere, making it in turn create an electric field outside the sphere.
I then need to use Gauss's law to find the electric field where possible. I think this is correct:
\int \vec{E}\cdot d\vec{A}=\frac{Q_{enclosed}}{\epsilon_{0}}
E\int d\vec{A}=\frac{Q}{\epsilon_{0}}
E(4\pi r^{2})=\frac{Q}{\epsilon_{0}}
E=\frac{Q}{4\pi r^{2}\epsilon_{0}}
For all locations that are not inside the shell. Am I correct?
First I need to draw the electric field lines for regions r<r1, r1<r<r2, and r2<r
Since the sphere is a conductor the only place where there is not an electric field is inside the shell. The point charge induces a charge on the conducting sphere, making it in turn create an electric field outside the sphere.
I then need to use Gauss's law to find the electric field where possible. I think this is correct:
\int \vec{E}\cdot d\vec{A}=\frac{Q_{enclosed}}{\epsilon_{0}}
E\int d\vec{A}=\frac{Q}{\epsilon_{0}}
E(4\pi r^{2})=\frac{Q}{\epsilon_{0}}
E=\frac{Q}{4\pi r^{2}\epsilon_{0}}
For all locations that are not inside the shell. Am I correct?
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