How much energy is stored in the capacitor network? (PHYSICS HELP PLEASE!)?

NetherCraft 0

In the figure, let V=12.0V and C1=C2=C3=32.6μF. How much energy is stored in the capacitor network?

Figure: http://session.masteringphysics.com/problemAsset/1

1 Answer

  • Total capacitance of network (s – series, p – parallel)

    C2 s C3 = 32.6μF s 32.6μF = 32.6μF / 2 = 16.3μF

    C_T = C1 p C2s3 = 32.6μF p 16.3μF = 48.9μF

    Energy stored in the capacitor network.

    U = ½ Q² / C = ½ Q V = ½ C V²

    U = ½ C_T V² = ½ * 48.9μF (12.0V)² = 3.52 mJ

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