(D) The capacitance $C$ of a spherical capacitor consisting of two concentric conducting spheres of radii $R_1$ and $R_2$ (where $R_2 > R_1$) is given

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(D) The capacitance $C$ of a spherical capacitor consisting of two concentric conducting spheres of radii $R_1$ and $R_2$ (where $R_2 > R_1$) is given by the formula:$C = 4 \pi \varepsilon_0 \frac{R_1 R_2}{R_2 - R_1}$Here,$4 \pi \varepsilon_0$ is a constant.Therefore,the capacitance $C$ is proportional to the term $\frac{R_1 R_2}{R_2 - R_1}$.

Class 12 Physics Electric Potential and Capacitance Basic of Capacitor and type of capacitor (Spherical, Cylindrical)

Medium

$A$ solid conducting sphere of radius $R_1$ is surrounded by a hollow conducting sphere of radius $R_2$. The capacitance of this assembly is proportional to ........

A
$\frac{R_2 - R_1}{R_1 R_2}$
B
$\frac{R_2 + R_1}{R_1 R_2}$
C
$\frac{R_1 R_2}{R_1 + R_2}$
D
$\frac{R_1 R_2}{R_2 - R_1}$

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Electric Potential and Capacitance

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Basic of Capacitor and type of capacitor (Spherical, Cylindrical)

The potentials of the two plates of a capacitor are $+10\,V$ and $-10\,V$. The charge on one of the plates is $40\,C$. The capacitance of the capacitor is........$F$.

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Between a solid sphere and a hollow sphere of the same radius, which has a greater capacity to hold electric charge?

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The capacity of an isolated sphere is increased $n$ times when it is enclosed by an earthed concentric sphere. The ratio of their radii is

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$A$ capacitor is formed by two concentric spherical shells. The potential of the shell with radius $R_1$ is $V_1$ and the potential of the shell with radius $R_2$ is $V_2$. What is the potential at a point at a distance $x$ from the center? $(R_2 > x > R_1)$

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The potentials on the plates of a capacitor are $+20 \,V$ and $-20 \,V$. The charge on the plate is $40 \,C$. The capacitance of the capacitor is (in $\,F$)

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$A$ solid conducting sphere of radius $R_1$ is surrounded by a hollow conducting sphere of radius $R_2$. The capacitance of this assembly is proportional to ........

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The potentials of the two plates of a capacitor are $+10\,V$ and $-10\,V$. The charge on one of the plates is $40\,C$. The capacitance of the capacitor is........$F$.

Between a solid sphere and a hollow sphere of the same radius, which has a greater capacity to hold electric charge?

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$A$ capacitor is formed by two concentric spherical shells. The potential of the shell with radius $R_1$ is $V_1$ and the potential of the shell with radius $R_2$ is $V_2$. What is the potential at a point at a distance $x$ from the center? $(R_2 > x > R_1)$

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