In a circuit, the charge on the left plate of a 10 mutext F capacitor is -30 mutext C . What is the charge on the right plate of the 6 mutext F capacitor connected in series with it?

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EEJ MAIN Physics QUESTION #6996

Question 1

In a circuit, the charge on the left plate of a $10\ \mu\text{F}$ capacitor is $-30\ \mu\text{C}$. What is the charge on the right plate of the $6\ \mu\text{F}$ capacitor connected in series with it?

$-12\ \mu\text{C}$
$+12\ \mu\text{C}$
$-18\ \mu\text{C}$
$+18\ \mu\text{C}$✔️

Correct Answer Explanation

In a series combination, all capacitors carry the same magnitude of charge on their plates. The left plate of the $10\ \mu\text{F}$ capacitor has charge $-30\ \mu\text{C}$, so its right plate has $+30\ \mu\text{C}$.

From the circuit analysis using charge conservation and KVL: the right plate of the $6\ \mu\text{F}$ capacitor carries $\mathbf{+18\ \mu\text{C}}$.

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