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The area of each plate of a parallel plate capacitor is 100 cm^2 and the distance between the plates is 1mm. It is filled with mica of dielectric 6. The radius of the equivalent capacity of the sphere will be

  • Option 1)

    47.7 m

  • Option 2)

    4.77 m

  • Option 3)

    477 m 

  • Option 4)

    None of the above

 

Answers (1)

best_answer

As we have learned

If K filled between the plates -

{C}'=K\frac{\epsilon _{0}A}{d}={C}'=Ck

 

 

- wherein

C\propto A

C\propto\frac{1}{d}

 

 

      C= \frac{\varepsilon _0AK}{d}= 4\pi \varepsilon _0r

r = Radius of sphere of equivalent capacity

Þr= \frac{Ak}{4\pi d}=\frac{100*10^{-4}*6}{10^{-3}*4*3.14}=\frac{15}{3.14} = 4.77 mm 

 


Option 1)

47.7 m

Option 2)

4.77 m

Option 3)

477 m 

Option 4)

None of the above

Posted by

Plabita

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