An unknown charge sits on a conducting solid sphere of radius \( 10 \mathrm{~cm} \). If the elec...

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An unknown charge sits on a conducting solid sphere of radius \( 10 \mathrm{~cm} \). If the electric field \( 30 \mathrm{~cm} \) from the center of the sphere has the magnitude \( 3.0 \times 10^{3} \mathrm{~N} / \mathrm{C} \) and is directed radially inward, (a) what is the net charge on the sphere? and (b) what is the charge density?
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