Consider the AC circuit shown. The AC source supplies voltage v(t) having freque

Question

Consider the AC circuit shown. The AC source supplies voltage v(t) having frequency f. What is the resistance between terminals a and b (i.e., the resistance of everything inside the dashed lines) in the limit of very low frequencies (f --->0) and very high frequencies (f --->infinity).

Consider the AC circuit shown in Figure 1. The AC source supplies a voltage v(t) having frequency f. What is the resistance between terminals a and b (i.e., the resistance of everything inside the dashed envelope shown) in the limit of very low frequencies (f rightarrow 0) and very high frequencies (f rightarrow infinity )?

Explanation / Answer

very low frequensies: 3R (since at low frequencies L will behave as short circuit and capacitor will behave as open circuit)

very high frequensies: 2R (since at high frequencies C will behave as short circuit and inductor will behave as open circuit)

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