The capacitance of a spherical condenser is $1 m F$ . If the spacing between the two spheres is $1 m m$ , then the radius of the outer space is

30 c m

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6 m

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5 c m

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3 m

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Solution

The correct option is D $3 m$
$\begin{matrix} C = \frac{4 π E_{0}}{(\frac{1}{r_{i}}) - (\frac{1}{r_{0}})} . . . . . . . . . . . . . . . . . . . . . (1) A c c o r d i n g t o t h e q u e s t i o n : - r_{0} - r_{1} = 0.001 m C = 0.00000 1 F . . . . . . . . . . . . . . (2) P u t t i n g (2) i n (1) ∴ r_{0}^{2} - r_{0} (0.001) - (9 \times 000000000 \times 0.000000001) = 0 t h e r e f o r e r_{0} = 3 m \end{matrix}$

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A spherical capacitor has an inner sphere of radius 12 cm and an outer sphere of radius 13 cm. The outer sphere is earthed and the inner sphere is given a charge of 2.5 µC. The space between the concentric spheres is filled with a liquid of dielectric constant 32.

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Q. A spherical capacitor has an inner sphere of radius 12 cm and anouter sphere of radius 13 cm. The outer sphere is earthed and theinner sphere is given a charge of 2.5 μC. The space between theconcentric spheres is filled with a liquid of dielectric constant 32. (a) Determine the capacitance of the capacitor. (b) What is the potential of the inner sphere? (c) Compare the capacitance of this capacitor with that of anisolated sphere of radius 12 cm. Explain why the latter is muchsmaller.

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The capacitance of a spherical condenser is 1mF. If the spacing between the two spheres is 1mm, then the radius of the outer space is

The correct option is D 3mC=4πE0(1ri)−(1r0).....................(1)Accordingtothequestion:−r0−r1=0.001mC=0.000001F..............(2)Putting(2)in(1)∴r20−r0(0.001)−(9×000000000×0.000000001)=0thereforer0=3m

The capacitance of a spherical condenser is $1 m F$ . If the spacing between the two spheres is $1 m m$ , then the radius of the outer space is