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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.
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6 Answers
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
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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
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