Question

2. An AC power source with V 220 V and f60.0 Hz is connected in a series RLC circuit. The resistance, R. inductance, L, and capacitance. C. of this circuit are, respectively. 46.0 12, 0.150 H. and 0.035 mF. Find each of the following quantities, (a) the inductive reactance, the capacitive reactance, (c) the impedance of the circuit (d) the maximum current through the circuit (based on the frequency given above) (e) the maximum potential difference across each circuit element {56.5.2, 75.8 2, 49.922,4.41 A VR = 203 V, Vc = 334 V, VL-250 V)

Answer 1

Vm= 220v f = 60 Hz (a) Inductive Reactance, X = 22fL = 20 (60)(0.15) = [56.5 r 1 (6) Capacitive Reactance, Xc= - = 2afc 28(60) (0035216-3) = 75.78r - Fs. er (c) Impedence, 2= R² + (x2-xc)² = 46° +(56.5-75-8) == 49.88r 49.92 Vmax 4.41 A (d) imax : Vimax 220 = (4.41A) 49.9 @lupo ce (e) VR = imas R = (4.41) (46) = 202.8v = (max) x = (4.41) (56.5 = 249.8 = (2030) & 250v) V : (...) x (4.4)(75%) - 34 29 - (224)