For the circuit shown below, the voltage across 10F and 40 F capacitors are: 

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SSC JE Electrical 9 Oct 2023 Shift 3 Official Paper-I
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  1. 1 V and 4 V, respectively
  2. 4 V and 1 V, respectively
  3. 400 V and 1600 V, respectively
  4. 10 V and 40 V, respectively 

Answer (Detailed Solution Below)

Option 2 : 4 V and 1 V, respectively
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Detailed Solution

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Concept

When two capacitances are connected in parallel, their equivalent capacitance is given by:

When two capacitances are connected in series, their equivalent capacitance is given by:

Calculation

In the given circuit, 5F and 3F are connected in parallel.

10F and 40F are connected in series.

When two equal capacitances are connected in series, the voltage gets equally divided between them.

∴ The combination of C3 and C4 will have a 5V voltage.

The voltage across C3 is given by:

The voltage across C4  is given by:

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