Question

A.2 Based on your knowledge of ohms law applied to impedances, determine the current (magnitude and angle) in the circuit of figure 2.1, when the frequency of the voltage source is set to a) 100Hz, 1 KHz and 5 KHz. Compute the RMS and peak value of power for each of the given frequencies. Enter the computed values in the provided section of your report. 1* sin(wt) 3 100 mH Figure 2.1 100 mH Inductance Circuit

Answer 1

Soluhan! Carino f = 100hz Vs(t) = 1 Sin cult) =) phasor = t1o° v XLS 26th = 2*X100X100X103 XA = 62 31 Phasor circuito thor € 56208319 ¿= 1 10 =000159 L-50 A (1 62.8311 " A)= 000159 sin ( ut-so)

p = J xi P= 1 LOX 0.0155L-909 Pa 0.0159 L-909 P (*)=0-01:59 sin (ut-90°) peak value = 000159 w Rms Value 0.0159 -0.01124 W 12 & f= 1kn2 so: x2=aafh= 2 ax108x 100x103 woor 31 is = 159110* L-80' like) = 1.99910* sin quet - s0') 7

son pa sy i P= 1 LOX 1199X10% le'go Pa 1093810°L -30° Pita 40g9x10° sin (ult-90') Peak value = 1059 81ó?w w Rms.Value = 1.59810 -- 1012710 W 1103 f = 5ku 2 XL: 2axfhc 24X5X10 x 100 x103 V 3141.55 ja iz 03141.55 ů = 3010x10 " L-500 A

("14)= 3.10X10 Singut-so su: P = ust - I Lo'x 310 x64 | -90 P= 3.18x16" 1-90° time domain Plt)= 3.10x15 gin (wa-go) Peak valu = 3.18x 10 w Rms value = 3018 xio w