The electric field for r -R2 is given by E-1- X-0Q-r2- Find X-

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Electric Field Due to a Sphere and Thin Shell

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Question

The electric field for $r > R_{2}$ is given by $E = \frac{1}{X π ε_{0}} \frac{Q}{r^{2}}$ . Find X?

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Solution

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r > c

E = \frac{X}{4 π ε_{0}} \frac{2 Q}{r^{2}}

X

R_{1} < r < R_{2}

E = \frac{Q}{X π ε_{0} r^{2}} [\frac{r^{3} - R_{1}^{3}}{R_{2}^{3} - R_{1}^{3}}]

r < R_{1}

E = \frac{X Q}{π ε_{0} r^{2}} [\frac{r^{3} - R_{1}^{3}}{R_{2}^{3} - R_{1}^{3}}]

b > r > a

E = \frac{Y}{4 π ε_{0}} \frac{Q}{r^{2}}

Y

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