Now let\'s apply Z = Squareroot R^2 + [omega L - (1/omega C)]^2 and tan phi = X/

Question

Now let's apply Z = Squareroot R^2 + [omega L - (1/omega C)]^2 and tan phi = X/R to a specific R-L-C circuit. The circuit layout is shown in (Figure 1). Suppose that its components have values R = 300 Ohm, L = 60 mH, C = 0.50 mu F, V = 50 V, and omega = 10,000 rad/s. Find the reactances X_L, X_C, and X, the impedance Z, the current amplitude I, the phase angled phi, and the voltage amplitude across each circuit element. In a series circuit, suppose R = 150 Ohm, L = 330 mH, C = 0.80 mu F, V = 75 V, and omega = 3300 rad/s. Find the reactances X_L. Express your answer in ohms to two significant figures. Find the reactance X_C. Express your answer in ohms to two significant figures. Find the impedance Z. Express your answer in ohms to two significant figures.

Explanation / Answer

xl = wl = 1089 ohm

xc = 1/wc = 378.8 ohm

z = sqrt(150^2+(378.8-1089)^2) = 725.86 ohm

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