Equivalent capacitance calculation

Figure below shows six concentric conducting spheres A,B,C,D,E and F with radii R,2R,3R,4R,5R and 6R respectively.Conducting spheres B and C & D and E are connected using conducting wires as shown in figure.Find the equivalent capacitance of the whole system.

6 Answers

1
pritishmasti ............... ·

no one yet????

1
varun.tinkle ·

well this sum is nothing but very lentghty

let charge q1 be given on the innermost plate and a -1 on the outermost

then by repeated application of gauss logic we can get the asnswer i dont wanna solve such a lengthy sum

1
anujkaliaiitd ·

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1
pritishmasti ............... ·

u are right but i think there's another way of doing it
in the whole system,the capacitances (like that of spherical capacitor) exist only between three pair of shells
shell A-B ,C-D and E-F and these three capacitances can be easily calculated using the formula for capacitance of spherical capacitor i.e.
C1 = k(abb-a) , C2 = k(cdd-c) , C3 = k(eff-e)
in my view these three capacitance will be in series and thus we can easily calculate the capacitance using series combination formula.
plzz tell if this way is right or not

1
seoni ·

48/11 E.pi.R?

1
EmInEm ·

here electric filed will be only between Aand B , and then Cand D m, and then E and F

E between AB is onlydue to A , between CD is only due to C , between EF is only due to E

then just find Va - Vb , Vc - Vd, Ve - Vf, and the 3 capa are in series

so i think you are right in post 5

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