|00:01||Hello everyone. Welcome to this tutorial on Steady State Response of Circuits.|
|00:07||In this tutorial, we will study:
AC phase shift in RC, RL and LCR circuits.
Calculate Phase shift values and
Show circuit diagrams for our experiments.
|00:24|| Here, I am using:
ExpEYES version 3.1.0
Ubuntu Linux OS version 14.10.
|00:34|| To follow this tutorial, you should be familiar with:
Basic Physics and ExpEYES Junior interface. If not, for relevant tutorials in ExpEYES, please visit our website.
|00:50||Let's first define Steady state response of a circuit.|
|00:55||Steady state response is a period of observance when a circuit is in equilibrium condition.|
|01:02||Now, we will define phase shift. Phase shift is a relative change in the phase of a waveform.|
|01:10||Let us now study AC phase shift in RC circuit.|
|01:14||In this experiment, we will measure voltage variation and phase shift in the circuit.|
|01:20||To perform this experiment,
A1 is connected to SINE. 1uF(one micro farad) capacitor is connected between SINE and A2. 1K resistor is connected between A2 and ground (GND).
|01:36||This is the circuit diagram.|
|01:40||Let's see the result on the Plot window.|
|01:44||On the Plot window, click on A1 and drag to CH1.
A1 is assigned to CH1.
|01:54||Click on A2 and drag to CH2.
A2 is assigned to CH2.
|02:02||Move the mSec/div slider to obtain the Sine waves.|
|02:08||Click on EXPERIMENTS button. Select Study of AC circuits.|
|02:14||Study of AC Circuits and Schematic windows open. Schematic window shows the circuit diagram.|
|02:24||Study of AC Circuits window displays three traces with different voltages.|
|02:30||Black trace is applied voltage at A1.|
|02:35||Red trace is the voltage across the resistor.|
|02:39||Blue trace is the voltage across the capacitor.|
|02:44||On the right side of the window, we can see Phasor plot.|
|02:49||On the plot, positive X-axis represents voltage across resistor.|
|02:56||Positive Y-axis represents voltage across inductor.|
|03:02||Negative Y-axis represents voltage across capacitor.|
|03:08|| Frequency of the waves is 149.4Hz.
Total voltage at A1 is 3.54V.
Voltage across R at A2 is 2.50V.
Voltage at A1-A2 is 2.43V.
Phase Shift is 43.1 deg(degree).
|03:34||Calculator shows default values of frequency, resistance, capacitance and inductance.|
|03:44||Change the frequency value to 149.4Hz and Inductor value to 0 mH (zero milli henry).|
|03:53||Click on Calculate XL, XC and Angle button.|
|03:59||The values of XC, XL and phase angle are displayed. XC and XL are impedences of capacitance and inductance.|
|04:11||Dphi is phase shift. Calculated Phase shift is 46.8 degrees.|
|04:20||Let us calculate phase shift value using the formula: Φ (Phase shift) = arctan(XC/XR), where XC=1/2πfC.
Here f is frequency in hertz, C is capacitance in farads. Calculated value of phase shift is 46.81 deg.
|04:48||Now, we will study AC phase shift in RL circuit.|
|04:52||In this experiment, we will measure phase shift when capacitor is replaced by an inductor.|
|04:59|| To perform this experiment, A1 is connected to SINE.
A 3000 turns coil is connected between SINE and A2.
|05:11||560 Ohm resistor is connected between A2 and GND. This is the circuit diagram.|
|05:20||Let's see the result on the Plot window.|
|05:24||Two sine waves are generated.|
|05:27||Click on EXPERIMENTS button, select Study of AC circuits. Study of AC Circuits window opens.|
|05:38||On the right side of the window, we can see Phasor plot.|
|05:43||You can see that Phase Shift is -2.7 deg (minus 2.7 degree). Notice the values of frequency and voltages.|
|05:53|| Change the value of:
Frequency to 149.4Hz(hertz)
Resistance to 1360 Ohm
Capactance to 0 uF(micro farad) and
inductance to 78 mH (milli henry).
|06:11||Click on Calculate XL, XC and Angle button to view the values. Calculated phase shift is -3.1 deg(minus 3.1 degree).|
|06:23||Let us calculate phase shift value using the formula.|
|06:27||Phase shift (Φ) = arctan(XL/XR), where XL=2πfL. Here L is inductance.|
|06:41||External resistance value is 560 Ohm and resistance of the coil is 800 Ohm. Total resistance =( 560 Ohm + 800 Ohm)= 1360 Ohm.
Calculated value of the phase shift is 3.08degrees.
|07:05||Now, we will study AC phase shift in LCR circuit.|
|07:10||We will measure phase shift when inductor & capacitor are connected in the circuit.|
|07:17||To perform this experiment, SINE is connected to A1.|
|07:21||Coil and 1 uF(1 micro farad) capacitor are connected between A1 and A2.|
|07:28||1K resistor is connected between A2 and ground (GND). This is the circuit diagram.|
|07:36||Let's see the result on the Plot window.|
|07:39||Two sine waves are generated with a phase shift.|
|07:43||Click on EXPERIMENTS button, select Study of AC Circuits.|
|07:50||Study of AC Circuits and Schematic windows open. Schematic window shows the circuit diagram.|
|07:59||Study of AC Circuits window displays three sine waves with different voltages.|
|08:06||On right side of the window, we can see Phasor plot.|
|08:11|| Frequency of the waves is 149.4Hz,
Total voltage at A1 is 3.53V, Voltage across R at A2 is 2.50V, Voltage of LC across A1-A2 is 2.42V.
|08:33||Phase Shift is 43.1 deg(degree).|
|08:37||Change the value of:
frequency to 149.4Hz and
inductance to 78mH (milli Henry).
|08:48||Click on Calculate XL, XC and Angle button to view the values. Calculated phase shift value is 44.8 deg.|
|09:00||Let us calculate Phase shift value using the formula.|
|09:04||Phase shift Φ = arctan(XC – XL/XR).|
|09:10||External resistance value is 1000 Ohm. Calculated value of the phase shift is 44.77 degrees.|
|09:20||Let us summarize.|
|09:22||In this tutorial, we have studied-
AC phase shift in RC, RL and LCR circuits and Calculated the phase shift values.
|09:33|| As an assignment,
study AC Phase shift of RL and LCR circuits, using different resistance & capacitance values.
|09:44||This video summarizes the Spoken Tutorial project. If you do not have good bandwidth, you can download and watch it.|
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|09:59||The Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India.|
|10:06||This tutorial is contributed by Kaushik Datta and Madhuri Ganapathi.Thank you for joining.|