Final answer:
To determine Vo in the given circuit, calculate the impedance using Z = √((R^2+(Xl-Xc)^2)). Then, find the current flowing through the circuit using I = Vo / Z. Finally, calculate the voltage across the resistor, inductor, and capacitor using the voltage divider rule.
Step-by-step explanation:
To determine Vo in the given circuit, we need to calculate the impedance (Z) of the circuit. Impedance is given by the equation Z = √((R^2+(Xl-Xc)^2)).
By substituting the values of R, Xl, and Xc into the equation, we can calculate the impedance. Once we have the impedance, we can use Ohm's law to find the current (I) flowing through the circuit, I = Vo / Z.
After finding the current, we can use the voltage divider rule to calculate the voltage across the resistor (VOR), the inductor (VOL), and the capacitor (Voc) using the formulas VOR = IOR = I * R, VOL = IXL = I * XL, and Voc = IXc = I * Xc respectively.