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  • Please,please help me A solid conducting sphere of radius R1 is surrounded by another concentric hollow conducting sphere of radius R2. The capacitance of this assembly is proportional to

 A solid conducting sphere of radius R1 is surrounded by another concentric hollow conducting sphere of radius R2. The capacitance of this assembly is proportional to

  • Option 1)

    \frac{R_2-R_1}{R_1R_2}

  • Option 2)

    \frac{R_2+R_1}{R_1R_2}

  • Option 3)

    \frac{R_1R_2}{R_2+R_1}

  • Option 4)

    \frac{R_1R_2}{R_2-R_1}

 

Answers (1)

best_answer

As we  have learned

Spherical Capacitor -

It consist of two concentric spheres of radii a and b (a<b) inner sphere charge +Q while outer sphere is earthed.

- wherein

 

 CAPACITANCE OF THE GIVEN ASSEMBLY 

C= 4\pi\varepsilon _0\frac{R_1R_2}{R_2-R_1}\Rightarrow C\propto \frac{R_1R_2}{R_2-R_1}

 


Option 1)

\frac{R_2-R_1}{R_1R_2}

Option 2)

\frac{R_2+R_1}{R_1R_2}

Option 3)

\frac{R_1R_2}{R_2+R_1}

Option 4)

\frac{R_1R_2}{R_2-R_1}

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Plabita

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