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Physics · Electrostatic Potential

हिन्दी

Four identical capacitors, each of capacitance \( C = 12\, \mu\text{F} \), are arranged such that three of them are in series, and the fourth is placed in parallel across this entire series combination. What is the equivalent capacitance of the network?

  1. A
    \( 9\, \mu\text{F} \)
  2. B
    \( 16\, \mu\text{F} \)
  3. C
    \( 4\, \mu\text{F} \)
  4. D
    \( 48\, \mu\text{F} \)
View Answer & Solution

Correct answer · Option B

\( 16\, \mu\text{F} \)

Explanation

Three capacitors in series have capacitance \( C_s = \frac{C}{3} = \frac{12}{3} = 4\, \mu\text{F} \). The fourth is in parallel, so \( C_{\text{eq}} = C_s + C = 4\, \mu\text{F} + 12\, \mu\text{F} = 16\, \mu\text{F} \).
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