Magnitude and Phase

The questions below are due on Monday November 25, 2024; 10:00:00 PM.
 
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This problem examines a driven resistor, inductor, and capacitor in series. Assume v_i(t) = V_{i}\cos\left(\omega t\right) where V_{i} is a constant and the output voltage is of the form v_{o}(t) = V_{o}\cos\left(\omega t + \phi\right).

Determine expressions for V_{o} and \phi in terms of R, L, C, V_{i} (V_i), and \omega (omega). If you need the inverse tangent, use atan. If you need a base-10 log, use log (use ln for the natural log).

V_o=

\phi=