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If two isolated spherical conductor each...

If two isolated spherical conductor each having a define capacity are far apart and are connected to eachother by a fine wire, how do you calculate the capacity of the combination ? In joining them with wire, have connected them in parallel or in series ?

Text Solution

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On connecting, both the spheres acquire a common potential V. If C is total capacity then total charge, `q = CV = q_(1) + q_(2)`, as charge is conserved.
`:. C = (q_(1))/(V) + (q_(2))/(V) = C_(1) + C_(2)`
Hence the conductors have been connected in parallel.
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