Class 12PhysicsElectric Potential and CapacitanceBasic of Capacitor and type of capacitor (Spherical, Cylindrical)
MediumThe 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?
- A$3.3 \times 10^{-10} \ F$
- B$2 \times 10^{-9} \ F$
- C$2 \ F$
- D$18 \ F$
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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 | $iv$. $\frac{4\pi \epsilon_0 r_1 r_2}{r_2 - r_1}$ |
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$A$ spherical drop of capacitance $1\,\mu F$ is broken into eight drops of equal radius. Then,the capacitance of each small drop is ......$\mu F$.
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