Class 12PhysicsElectric Potential and CapacitanceBasic of Capacitor and type of capacitor (Spherical, Cylindrical)
Medium$A$ solid conducting sphere of radius $R_1$ is surrounded by another concentric 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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Similar Questions
The capacitance of a spherical capacitor is $100 \ pF$. If the spacing between the two spheres is $1 \ cm$,then the radius of the inner sphere of the capacitor is: (in $cm$)
The radii of a spherical capacitor are $0.5 \ m$ and $0.6 \ m$. If the space between them is filled with a dielectric medium of dielectric constant $6$,what will be the capacitance of the capacitor?
Medium
View SolutionThe capacity of a spherical conductor in the $MKS$ system is:
Easy
View SolutionMatch the following types of capacitors with their respective capacitance formulas:
Capacitor Type Capacitance Formula $A$. Cylindrical capacitor $i$. $4\pi \epsilon_0 R$ $B$. Spherical capacitor $ii$. $\frac{K A \epsilon_0}{d}$ $C$. Parallel plate capacitor with dielectric $iii$. $\frac{2\pi \epsilon_0 \ell}{\ln(r_2/r_1)}$ $D$. Isolated spherical conductor $iv$. $\frac{4\pi \epsilon_0 r_1 r_2}{r_2 - r_1}$
| Capacitor Type | Capacitance Formula |
|---|---|
| $A$. Cylindrical capacitor | $i$. $4\pi \epsilon_0 R$ |
| $B$. Spherical capacitor | $ii$. $\frac{K A \epsilon_0}{d}$ |
| $C$. Parallel plate capacitor with dielectric | $iii$. $\frac{2\pi \epsilon_0 \ell}{\ln(r_2/r_1)}$ |
| $D$. Isolated spherical conductor | $iv$. $\frac{4\pi \epsilon_0 r_1 r_2}{r_2 - r_1}$ |
Medium
View SolutionThe capacitance (in $F$) of a spherical conductor with a radius of $1\, m$ is:
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