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NEET2009PhysicsCapacitanceActual

What is the energy stored in the capacitor between terminals a and b of the network shown in the figure? (Capacitance of each capacitor C=1 F )

Options

  1. A12.5 J
  2. BZero
  3. C25 J
  4. D50 J

Correct answer

A. 12.5 J

Step-by-step solution

Network is redrawn as shown in figure. This is a balanced Wheatstone's network. Equivalent capacitance C_ e q =C Charge on capacitor between the terminals a and b Q 2 = C V 2 Energy stored in that capacitor = 1 ( Q 2 )^2 2 C = Q^2 8 C = C^2 V^2 8 C = C V^2 8 Given: C=1 F , V=10 ~V aligned & = (1 10⁻⁶ ) 10^2 8 & = 100 8 10⁻⁶=12.5 J aligned

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