Two capacitors of capacitance C are connected in series. If one of them is filled with dielectric substance k, the effective capacitance is
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When capacitance filled with dielectric , the capacitance becomes C ′ = kC
As they are in series so effective capacitance is
C ef = CC'/ C +C'
= C(kC)/ C +kC
= kC / 1 + k is the answer
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