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Manipal MET2024PhysicsCapacitance

In the following circuit diagram, potential difference across 4 ~F capacitor is

Options

  1. A19 V
  2. B14 V
  3. C16 V
  4. D8 V

Correct answer

D. 8 V

Step-by-step solution

1. Parallel Combination: The (2 F ) and (6 F ) capacitors are in parallel, so their equivalent capacitance: (C_ e q =2+6=8 F ) 2. Series Combination: The (4 F^ ) capacitor is in series with the (8 F ) equivalent capacitor. The total capacitance is: ( 1 C_ t o t a l = 1 4 + 1 8 = 3 8 C_ t o t a l = 8 3 F ) 3. Charge Calculation: The total charge in the circuit is: (Q=C_ t o t a l V= 8 3 12=32 C ) 4. Voltage Across (4 F ) Capacitor: Since the charge is the same in series, the voltage across the (4 F ) capacitor is: (

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