Question

A sinusoidal voltage Av = 37.5 sin(100t), where Av is in volts and t is in seconds, is applied to a series RLC circuit with L = 170 mH, C = 99.0 pF, and R = 53.0 2. (a) What is the impedance (in 2) of the circuit? 98.01 12 (b) What is the maximum current in A)? .383 A (C) Determine the numerical value for w (in rad/s) in the equation i = Imax sin(wt - 0). 100 rad/s (d) Determine the numerical value for o in rad) in the equation i = I may sin(wt - 0). -1.0079276 rad (e) What If? For what value of the inductance (in H) in the circuit would the current lag the voltage by the same angle as that found in part (d)? (f) What would be the maximum current in A) in the circuit in this case? A

Answer 1

R = 532 Xa wLa loox 0.17 = 172 X = L = L = 10loin 1oox99X106 2 wc & Z cimpedence) = R²4(XL-X(2 - o z = gg.332 [= gg. 332 Imax = Vmax – 0.3774 Z @ + k $= tan ( xz *c ) = -57.75 =-1.00 Load XL-Xc tano = 1.595 - 1001pad x X-Xce I-SOSR - lol.01 = 84.01 XL 185.02 Le XL = 1.85H 0 Imax - R²+ (XL" Xcle = 0.317 Amp