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  • Please help! Two spherical conductors A and B of radius a and b (b >a) are placed in air concentrically B is given charge + Qcoulomb and A is grounded. The equivalent capacitance of these is

Two spherical conductors A and B of radius a and b (b >a) are placed in air concentrically B is given charge + Qcoulomb and A is grounded. The equivalent capacitance of these is

  • Option 1)

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

  • Option 2)

    4\pi \varepsilon _0(a+b)

  • Option 3)

    4\pi \varepsilon _0b

  • Option 4)

    4\pi \varepsilon _0\frac{b^2}{b-a}

 

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 when inner sphere is earthed C_2= 4\pi \varepsilon _0\cdot \frac{b^2}{b-a}


Option 1)

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

Option 2)

4\pi \varepsilon _0(a+b)

Option 3)

4\pi \varepsilon _0b

Option 4)

4\pi \varepsilon _0\frac{b^2}{b-a}

Posted by

prateek

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