Physics: Potential Difference

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Two capacitors are identical, except that one is empty and the other is filled with a dielectric (k = 3.6). The empty capacitor is connected to a 15 -V battery. What must be the potential difference across the plates of the capacitor filled with a dielectric so that it stores the same amount of electrical energy as the empty capacitor?

  • Physics: Potential Difference -

    C₂=kC₁
    Energy = CV²/2
    C₁V₁²/2=C₂V₂²/2
    V₂=V₁/√(k)=15/√(3.6) = 7.9 V

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