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QJEEM20Phb4d3: JEE Main 2020 Physics - Class 12 JEEM20Phb4d3 Solution: Effective capacitance of parallel combination of two capacitors …

Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 μF. When these capacitors are individually connected to a voltage source of 1V, the energy stored in the capacitor C2 is 4 times that of C1. If these capacitors are connected in series, their effective capacitance will be :

Multiple Choice Options

  • A 4.2 μF
  • B 8.4 μF
  • C 1.6 μF
  • D 3.2 μF

Step-by-Step Verified Solution

C1 + C2 = 10 ......(1)

12C2V2=4×12C1V2

⇒ C2 = 4C1 .....(2)

From (1) ans (2),

C1 = 2 and C2 = 8

For series combination

Ceq = C1C2C1+C2 = 8×28+2 = 1.6 μF

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