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AKSHAYA KARTHIKEYAN Grade: 12
        i would like to know how to calculate the capacitance due to two concentric hollow spherical shells of radii r1 and r2 with r1each having

1.equal charge
2.unequal charge
7 years ago

Answers : (1)

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
										

Dear STUDENT NAME,


Ans:- The thing is that if you want to calculate the capacitance then first of all you have to give it some charge. Now let's give a charge Q to it. and it is given to the inner sphere. As from the Gauss's law we know that there can not be any charge inside a hollow sphere and hence the entire charge will come out to the external surface of the outer sphere.So the potential of the inner sphere will be V1=Q/Kr1 -Q/kr2+Q/kr2 = Q/Kr1..............(1)                                                           


(Because the charge appearing in the inner and outer surface of the outer sphere is Q && -Q respectively. Thus to calculate the potential in the inner sphere, we must consider all the charges.


But if we consider the outer hollow sphere then the total charge inside this is 0 hence it's potential is V2=Q/Kr2 .....(2)


potential difference = V1-V2=Q/K(1/r1 - 1/r2)=ΔV


Now the capacitance is Q/ΔV=Kr1r2/(r1 - r2)


Hence C=Kr1r2/(r1-r2)


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Askiitians Experts
Soumyajit Das IIT Kharagpur

7 years ago
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