Three capacitors are connected to a battery as shown in figure. The ratio of charge on capacitors $C_3$ and $C_1$ is ______.
(Assuming standard bridge configuration where $C_1$ is in series with parallel $C_2, C_3$ based on OCR artifacts, or the visual Delta where battery connects to the base)
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In series, Charge ($Q$) is constant across all capacitors. In parallel, Voltage ($V$) is constant across all branches. Identifying these branches correctly is 90% of the battle in capacitor networks!
Step 1: Understanding the Concept:
In a series-parallel circuit, the total charge $Q_1$ leaves $C_1$ and splits between $C_2$ and $C_3$. In parallel, charge divides in direct proportion to capacitance: $Q \propto C$. Step 2: Formula Application:
$Q_1 = Q_2 + Q_3$.
$Q_3 = Q_1 \left( \frac{C_3}{C_2 + C_3} \right)$. Step 3: Explanation:
Without the specific values of $C_2$ and $C_3$ from your image, we use the logic: $\frac{Q_3}{Q_1} = \frac{C_3}{C_2 + C_3}$.
For example, if $C_3 = 3\mu F$ and $C_2 = 2\mu F$, the ratio would be $3/5 = 0.6$. Based on typical exam diagrams for these options, $Q_3/Q_1$ usually involves the division of total charge. Step 4: Final Answer:
Please verify the diagram values; the ratio is determined by $\frac{C_3}{C_2 + C_3}$.
