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A capacitor consists of a conducting sphere of radius $a$ surrounded by a concentric conducting shell of radius $b .$ Show that its capacitance is $C=a b / k(b-a)$
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A capacitor consists of a conducting sphere of radius $a$ surrounded by a concentric conducting shell of radius $b$. Show that its capacitance is $C=a b / k(b-a)$.
A spherical capacitor consists of a spherical conducting shell of radius $b$ and charge $-Q$ that is concentric with a smaller conducting sphere of radius $a$ and charge $+Q \text { (Fig. } P 20.36)$ (a) Show that its capacitance is $$C=\frac{a b}{k_{e}(b-a)}$$ (b) Show that as $b$ approaches infinity, the capacitance approaches the value $a / k_{e}=4 \pi \epsilon_{0} a$.
A spherical capacitor consists of a spherical conducting shell of radius $b$ and charge $-Q$ that is concentric with a smaller conducting sphere of radius $a$ and charge $+Q$ (Fig. P20.38). (a) Show that its capacitance is $$C=\frac{a b}{k_{e}(b-a)}$$ (b) Show that as $b$ approaches infinity, the capacitance approaches the value $a / k_{e}=4 \pi \epsilon_{0} a$
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