00:01
In this question, in this full wave rectifier, in this full wave rectifier, one diode, one diode either d1 or d2 conducts at any time.
00:44
It conducts at any time during positive half cycle.
01:02
During positive half cycle the diode d1 is forward biased or conducts and diode d2 is forward biased.
01:46
Reverse biased or do not do not conduct or do not conduct we can write that during negative negative during negative cycle the diode d2 is the diode d2 is forward biased or conducts and the diode and the diode v1 is reverse biased is reverse biased or do not conduct.
03:16
Conduct.
03:19
Okay here each diode has a voltage drop of 0 .7 volts and in either cycle and and in either cycle one diode conducts.
04:04
One diode conducts.
04:07
Now here the diode t1 in the circuit can be replaced with the or with its piecewise linear model that is the diode.
05:03
D1 is replaced by vd and rd in series.
05:22
Vd and rd in series.
05:27
Now here neglecting neglecting the effect of rd the equivalent the equivalent circuit for the right side.
06:02
Neglecting the effect of rd the equivalent circuit for the right side.
06:09
Upper portion of center tab is given by right side portion upper portion now let us make the diagram it will be vd r it will be vs okay vs vd it will be r it will be v0 okay okay.
06:58
Okay, so this is a figure now here we can write that this is our r when we'll apply kirchhoff's law voltage law.
07:21
Okay to the circuit we get b s minus b t minus v not equals to zero or we can write it as right v not equals to vs plus vd.
07:35
This is our equation number one.
07:39
Now the input to the full wave rectifier.
07:57
Full wave rectifier.
08:00
Is vs equals to vs sine omega t.
08:09
Ok, now here the output will be obtained with the help of equation one.
08:16
Ok, the diode conducts.
08:25
During both of the half cycles conducts both of the during both of the half cycles.
08:47
Okay, so we can write the input output waveform.
08:51
We can make the input and output waveform together.
09:06
Okay, let us make it.
09:13
Here the waveform will be like this.
09:16
This is our y -axis.
09:19
This is our x -axis.
09:21
This is our vs v0.
09:24
Okay, this is our omega t.
09:28
So this is this waveform will be like this.
09:37
Okay, this waveform will be like this.
09:38
And here it is vs here it is this is r this is our vd ok this is our vd so this is our theta this is our theta and this is also our theta ok here it will be here this is pi and this will be pi plus theta.
10:24
Okay, this will be pi plus theta.
10:27
So this is our equation and we can say that this is pi minus theta.
10:34
Okay, now let us write that in the waveform.
10:44
Form so in the waveform which is in figure 2 theta is the angle theta is the angle at at which the input signal reaches input signal reaches bd and the diode starts conducting.
11:34
Okay, and the diode starts conducting.
11:39
Conducting now here we can write that the diode conduction the diode conduction terminates at pi minus theta diode conduction terminates at pi minus theta and hence the total conduction angle the total conduction angle is pi minus theta minus theta or pi minus 2 theta okay now we'll consider the we'll consider the following by observing the waveform that vd d equals to be a sign be a sign theta.
12:55
Okay, or we can write that our sign theta equals to be d by vs.
13:02
Okay, or we can write that our theta equals to sign inverse bd by vs...