To what potential should you charge a 3.0 μf capacitor to store 1.0 j of energy?

Question

To what potential should you charge a 3.0 μf capacitor to store 1.0 j of energy?

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2022-04-08T20:40:35+00:00 0 Answers 0

Answers ( 1 )

  1. Ruby
    0
    2022-04-08T20:42:07+00:00

    The energy stored in a capacitor is given by:
    [tex]U= frac{1}{2}CV^2 [/tex]
    where
    U is the energy
    C is the capacitance
    V is the potential difference

    The capacitor in this problem has capacitance
    [tex]C=3.0 mu F = 3.0 cdot 10^{-6} F[/tex]
    So if we re-arrange the previous equation, we can calculate the potential V that should be applied to the capacitor to store U=1.0 J of energy on it:
    [tex]V= sqrt{ frac{2U}{C} }= sqrt{ frac{2 cdot 1.0 J}{3.0 cdot 10^{-6}F} }=816 V [/tex]

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