54. The circuit of Figure P10.54 operates in the SSS at $\omega_0$ (a) Find the Thevenin equivalent imped- ance $Z_{th}$ (b) Find $v_{AB}(t)$ if $i_{in}(t) = I_m \cos(\omega_0 t)$, $R =$ 10 $\Omega$, $a = 5 \Omega$, and $X = 20 \Omega$.
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First, let's find the impedance of the inductor L. The impedance of an inductor is given by ZL = jωL, where j is the imaginary unit and ω is the angular frequency. In this case, ZL = jωL = jω(20Ω) = j20ωΩ. Show more…
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