Two capacitors having capacitances 8 μF and 16 μF have breaking voltages 20 V and 80 V. They a

step 1 In this question, we have two capacitors having capacitance C1 is equal to 8 microferret, C2 is

Two capacitors having capacitances 8 μF and 16 μF have...

Two capacitors having capacitances $8 \mu \mathrm{F}$ and $16 \mu \mathrm{F}$ have breaking voltages $20 \mathrm{~V}$ and $80 \mathrm{~V}$. They are combined in series. The maximum charge they can store individually in the combination is : (a) $160 \mu \mathrm{C}$ (b) $200 \mu \mathrm{C}$ (c) $1280 \mu \mathrm{C}$ (d) none of these

Two capacitors having capacitances $8 \mu \mathrm{F}$ and $16 \mu \mathrm{F}$ have breaking voltages $20 \mathrm{~V}$ and $80 \mathrm{~V}$. They are combined in series. The maximum charge they can store individually in the combination is :
(a) $160 \mu \mathrm{C}$
(b) $200 \mu \mathrm{C}$
(c) $1280 \mu \mathrm{C}$
(d) none of these

Key Concepts

Series Combination of Capacitors

In a series connection, the same charge flows through all capacitors, meaning each capacitor possesses the same amount of charge regardless of its individual capacitance. However, the voltage across each capacitor is different and depends on its capacitance.

Capacitance and Equivalent Capacitance

The equivalent capacitance of capacitors in series is less than any individual capacitance. It is determined by the reciprocal sum of the reciprocals of the individual capacitances. This concept is crucial in determining how the combination behaves as a single capacitor in a circuit.

Maximum Voltage Ratings (Breaking Voltages)

Each capacitor has a maximum voltage, or breaking voltage, beyond which it can fail. In series arrangements, the capacitor with the lowest breaking voltage limits the maximum voltage that can be safely applied across the combination. Ensuring no capacitor exceeds its voltage rating is essential for reliable operation.

Charge Storage in Series Capacitor Networks

The amount of charge that can be stored in a series capacitor network is determined by the minimum allowable voltage across each individual capacitor and their capacitances. Through the relation Q = C × V, the maximum charge is constrained by the capacitor with the lowest voltage threshold, which must be carefully considered in the design.

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