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We were told to solve this using the series equivalent circuit for the inductor and the parallel equivalent circuit for the capacitor. However, I am not sure how that will look like. Could someone please illustrate?

enter image description here

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  • \$\begingroup\$ What are you solving for? (\$v_c\$?) What have you tried so far? \$\endgroup\$ Commented Dec 26, 2022 at 22:57

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It's not clear what is exactly what they mean, but we use those names for the first order equivalent models of an inductor and a capacitor. Where usually the inductor has its series resistance (to emphasize the losses on the wire) and the capacitor has its parallel resistance (to emphasize the charge losses). But you need the merit factor (Q) or the dissipation factor (D) or the value of the parasitic resistors in order to solve the circuit.

The circuit would look like this:

Schematic diagram

You can try to solve it without defining values for resistors, get the symbolic answer and then replace with some values to see how it affects. I'd ask for more clarification of the excersise.

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