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Fig, shows two indentical capacitors C(...

Fig, shows two indentical capacitors `C_(1) and C_(2)` each of `1 muF` capacitance connected to a battery of 6V. Inditally, swich S is closed. After some time, the swich S is left open and dielectric slabs of K = 3 are inserted to filll completely the space between the plates of two capacitors . How will (i) the charge and (ii) potential difference between the plates of the capacitors be affected after the slabs are inserted ?

Text Solution

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When swich S is closed,
`V_(1) = V_(2) = 6V`
`q_(1) = q_(2) = CV = 1 muF xx 6V. = 6muC`
When dielectric slab of K = 3 is inseried,
`C_(2)' = C_(1)' = 1xx3 muF = 3 mu F`
p.d across `C_(1) = 6V`
`:.` Charge on `C_(1) = 3 mu F xx 6V = 18 muC`
When swich S is left open, charge `q_(2) on C_(2)` is still `6 muC`, but its potential changes to
`V_(2) = (q_(2))/(C_(2)) = (6 muC)/(3 muF) = 2V`
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