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  • Help me understand! A spherical condenser has inner and outer spheres of radii aand brespectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inne

A spherical condenser has inner and outer spheres of radii a and b respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inner sphere is earthed will be

  • Option 1)

    zero

  • Option 2)

    4\pi \varepsilon _0a

  • Option 3)

    4\pi \varepsilon _0b

  • Option 4)

    4\pi \varepsilon _0a\left ( \frac{b}{b-a} \right )

 

Answers (1)

best_answer

As we have learned

Capacitance -

C=4\pi \epsilon _{0}\frac{ab}{b-a}

C=\frac{ab}{b-a}\: \left ( C.G.S \right )

-

 

 

Capacity when outer sphere is earthed

C_1= 4\pi \varepsilon _0\frac{ab}{b-a}

Capacity when inner sphere is earthed     Difference in capacity = C2 – C1 = 4pe0b

 


Option 1)

zero

Option 2)

4\pi \varepsilon _0a

Option 3)

4\pi \varepsilon _0b

Option 4)

4\pi \varepsilon _0a\left ( \frac{b}{b-a} \right )

Posted by

Himanshu

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