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Match the columns. (All capacitors have same capacitance)

Column I Column II
I If breakdown voltage of each capacitor is same, which combination can withstand
largest external voltage. P
II If same charge is supplied, which
combination acquires largest potential
difference. Q
III If same potential difference is applied,
which combination can store maximum
charge. R
IV If capacitors are identical, which
combination gives maximum equivalent
capacitance. S
I II III IV
1. S S P P
2. P S S S
3. S P S P
4. P S P S

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answer is A.

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Detailed Solution

(i) Voltage gets distributed among all capacitors.
(ii) The one with least capacitance S=C/3

$V = \frac{Q}{C_{eff}} \propto \frac{1}{C_{eff}}$

${(C_{eff})}_{I} = 3 C, {(C_{eff})}_{II} = \frac{2 C}{3}, {(C_{eff})}_{III} = \frac{3 C}{2}, {(C_{eff})}_{IV} = \frac{C}{3}$

${(C_{eff})}_{IV} = \frac{C}{3}$
(iii) The one with maximum capacitance 3C as $Q = C_{eff} V$ . ${(C_{eff})}_{I} = 3 C$ is maximum

(iv) ${(C_{eff})}_{I} = 3 C$ is maximum

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