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A circuit consists of an ideal ac generator, a capacitor, and an ideal inductor, all connected in series. The charge on the capacitor is given by Q = (16 µC) cos (ωt + π/4) where ω = 1290 rad/s. (a) Find the current in the circuit as a function of time

Answer :

MechEngineer

Answer:

[tex]-16\omega sin(\omega t + \pi/4)[/tex]

Explanation:

The function of the current with respect to time is the derivative of the charge function with respect to time t. We can apply chain rule to differentiate it:

[tex]I(t) = Q'(t) = (16cos(\omega t + \pi/4))' \\= -16(\omega t + \pi/4)' sin(\omega t + \pi/4) \\= -16\omega sin(\omega t + \pi/4)[/tex]

Explanation:

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