An infinite series of capacitors C, 4C, 16C, ... is connected in series. The resultant capacitance is:
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An infinite series of capacitors C, 4C, 16C, ... is connected in series. The resultant capacitance is:

G1 Physics · Accepted Answer

1/Cₑq=(1/C)[1+1/4+1/16+…]=(1/C)/(1−1/4)=4/(3C). Hence Cₑq=3C/4. Correct answer: C.