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For two capacitors in series, which expression gives the voltage across the first capacitor?

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Question

For two capacitors in series, which expression gives the voltage across the first capacitor?

Options

  • \[V_1=(C_1+C_2)V\]

  • \[V_1=\frac{C_2}{C_1+C_2}\cdot V\]

  • \[V_1=\frac{C_1}{C_1+C_2}\cdot V\]

  • \[V_1=\frac{C_1+C_2}{C_2}\cdot V\]

MCQ
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Solution

For two series capacitors, the voltage across the first is proportional to the other capacitor's capacitance. The relationship is \[V_1=\frac{C_2}{C_1+C_2}V\].

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