ESET215- Exp 5 RC Signals-Result Sheet-Luis Carlos Montalvo

ROBO222-Experiment # 5 – Result Sheet Page 1 School Of Engineering Technology and Applied Science (SETAS) Advanced Manufacturing and Automation Technology (AMAT) ROBO222 – Lab Result Sheet SECTION: 001 Experiment No. 5 NAME : Marat Ibragimov Salvador Ignacio Handal RC Circuits STUDENT ID : 301337007 301422825 T 5.1 Nominal Value Color Code Measured Value By DMM R= 330 Ω Orange/orange/ brown 327.39 C= 1 µF 1.114 uF T 5.2 V s, rms (measured) = 3.515 V F (Hz) I T (mA ) V C (Volt s) V R (Volt s) Mea s. X C (Ω) Ca lc. X C (Ω) Mea s. Z (Ω) Calc . Z (Ω) Meas. θ (degre e) Calc. θ (degre e) Col 1 Col 2 Col 3 Col 4 Col 5 Col 6 Col 7 Col 8 Col 9 50 1.19 3.4773 0.389 2922 3183 2954 3009 84.29 84.08 100 2.296 3.385 0.751 1474 1590 1698. 21 1625. 40 78.83 78.29 200 4.16 3.095 1.362 744 793 926.9 9 861.4 8 68.75 67.48 500 7.084 2.143 2.321 302.5 318 518.0 4 458.5 0 46.38 43.97 800 8.072 1.543 2.647 191.15 199 442.4 5 385.3 3 33.55 31.08 1000 8.379 1.289 2.745 153.8 159.1 6 422.4 1 366.3 7 28.08 25.75 1200 8.575 1.104 2.808 128.7 131 411.0 1 355.6 6 24.07 21.90 1500 8.728 0.908 2.86 104 106 410.6 2 346.6 3 19.59 17.82 2000 8.868 0.7 2.9 79 80 406.7 339.4 15.14 13.56

ROBO222-Experiment # 5 – Result Sheet Page 2 3 6 5000 9.062 0.301 2.97 33.2 32 396.1 5 331.5 3 7.27 5.51 1000 0 9.122 160 mv 2.993 17.54 16 393.2 7 330.3 8 3.82 2.76

ROBO222-Experiment # 5 – Result Sheet Page 4 Questions: Q1.1 – How the RC circuit shown in Figure 1 can be used as a “Low Pass Filter”? When a load (Vout) is connected in parallel with the capacitor, it affects the circuit's behavior. Consequently, at low frequencies of the input signal (Vs), the capacitor's impedance is significantly higher compared to the resistor's impedance. As a result, a major portion of the input voltage is absorbed across the capacitor and subsequently across the load, which is parallel to the capacitor. Conversely, at higher input frequencies, the capacitor's impedance decreases relative to the resistor's impedance. This leads to more voltage being dissipated across the resistor and less being transmitted to the load. Consequently, low-frequency signals are allowed to pass through while high-frequency signals are attenuated. Q1.2 – Based on measurements in T5.2, does Kirchhoff’s Voltage Law is satisfied for frequency of 1KHz? (Show your work), Vs < 0 Z = r - jXc Xc= 1 / 2pi*f*c = 159.15 ohm I Z I = ( R2 + Xc2)^1/2 = 366.37 ohm Θ = tan^-1(-Xc/R) = -25.75 Is = IT=Vs/Z = 3.5 <0 / 366.37< -25.75 = 9.55 mA < 25.75 VR = IT*R = (9.55 mA < 25.75) * ( 330 <0) = 3.15 < 25.75 Vc = IT * Xc = (9.55 mA < 25.75) * ( 159.16<-90 ) = 1.52 < -64.25 KVL: Vs=VR + Vc 3.5 <0 = 3.15 < 25.75 + 1.52 < -64.25 3.5 <0 = 3.498 < -0.0009 The sum of the voltage across R and C is approximately the voltage of the source, then KVL is satisfied. Q1.3 – What is the relation between the value 𝜑 found in T5.2 and theta angle ( ) θ found in T5.1, for 1 KHz? Θ represents the angle of the total current (IT) in the RC circuit, while φ denotes the angle of the voltage across the capacitor (Vc). The magnitude and angle of Vc are determined by multiplying the total current IT by the capacitance Xc. Consequently, φ signifies the angular displacement of Vc caused by the influence of the current IT in the RC circuit.