Department of Electronic and Communications Electrical Circuits Laboratory (II)
================================================================================
Experiment No.6
R-C ac Circuit
Objective: To study the characteristics of ac resistor-capacitor (R-C) circuit.
Theory: The R-C ac circuit composes of two elements, resistor (R) and capacitor (C).
These two elements are either connected in series (or in parallel)
depending on nature of application under study. In the R-C ac circuit, it is
known that the current leads the voltage by a phase difference angle ( θ or
φ ). The value of this angle zero and π/2 and can be determined by one of
the three method which have been mentioned in exp5.
Procedure:
1- Connect an R-C series ac circuit according to the following block diagram.
Osc. Ch1
820Ω
Resistor
10Vpp sine Osc. Ch2
Wave generator
0.1uF
Capacitor
Probe
2- Power on the instruments and write-down your measurements as shown in
following table (assume phase angle of current is zero).
Department of Electronic and Communications Electrical Circuits Laboratory (II)
================================================================================
3- Calculate the value of phase difference angles θ1 and θ2 where θ1=2πft and
θ2=tan-1(VL/VR) for each value of frequency.
4- Calculate the circuit total impedance in polar and rectangular forms for each
value of frequency
f (Hz) 500 700 800 1000 1200 1400 1600 1800 2000 2200
(IT)p mA 1.5 1.65 2.3 2.7 3.1 3.4 3.55 3.87 4.05 4.25
(VR)p V 1.2 1.7 2 2.2 2.5 2.8 3 3.2 3.3 3.5
(Vc)p V 4.7 4.5 4.3 4.2 4 3.8 3.6 3.4 3.2 3
(VT)p V 5V 5V 5V 5V 5V 5V 5V 5V 5V 5V
.t (-usec) 410 272 221 172 139 100.4 83.2 69.4 60 52
.θ1 (-deg) 73 68.5o 63.6 62 60 51 48 45 43.2 41
.θ2 (-deg) 75.7 69.3 65 62.3 58 53.6 50.2 46.7 44 40.6
ZT 𝟑𝟑𝟑𝟑 𝟑𝟎𝟑𝟎 2174 1852 1613 𝟏𝟒𝟕𝟑 1408 𝟏𝟐𝟗𝟐 𝟏𝟐𝟑𝟓 𝟏𝟏𝟕𝟕
polar ∠𝟕𝟑 ∠𝟔𝟖. 𝟓 ∠𝟔𝟑 ∠𝟔𝟐 ∠𝟔𝟎 ∠𝟓𝟏 ∠𝟔𝟑 ∠𝟔𝟗 ∠𝟔𝟎 ∠𝟓𝟐
974 + 1110 + 987 + 869+ 806+ 927+ 639+ 463+ 617+ 725+
ZT rect. j 3187 j2819 j1937 j1635 j1396 j1145 j1255 j1206 j1070 j827
5- Plot on a graph paper VT and IT for f=500Hz.
6- Repeat steps 1 to 4 for R-C parallel circuit.
Discussion
1- Plot on a graph paper between the frequency and phase difference angle.
2- Draw on a graph paper the phasor diagram for the case f=500Hz (choose a
drawing scale 1cm for each 1 volt).
3- Are IT , VR and VL increasing or decreasing with the frequency f ?Why?.
4- What should be the phase difference between VC and VR ?
5- Repeat the discussion for R-C parallel circuit.