physics

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A source of instantaneous potential V = 10sin(50pi t) is connected across a capacitor of capacitence 1 times 10power negative 6 F. calculate the maximum value of the current and phase difference between the current and the potential difference?

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    V = 10sin(50π t),
    V(max) = 10 V,
    C =1•10^-6 F,
    q(max) = V(max)•C = 10•1•10^-6 =
    = 10^-5 (Coulomb)
    q = q(max)•sin(50π t) =
    =10^-5•sin(50πt) (Coulomb)
    I = dq/dt = 10^-5•50π•cos(50πt) (A),
    I(max) = 10^-5•50π =1.57•10^-3 A.

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