Electronics and Communication Engineering - Analog Electronics - Discussion
Discussion Forum : Analog Electronics - Section 1 (Q.No. 4)
4.
If the input to the ideal comparator shown in the figure is a sinusoidal signal of 8 V (peak to peak) without any DC component, then the output of the comparator has a duty cycle of


Answer: Option
Explanation:
Discussion:
30 comments Page 2 of 3.
Sangi said:
8 years ago
It's very helpful, thanks @Mani Kumar.
Dee said:
8 years ago
Thanks @Haritha and @Mani Kumar.
Lokesh said:
9 years ago
Is anyone tells the output of comparator irrespective of the duty cycle? I mean general comparator output.
Sirelaw said:
9 years ago
I didn't know about this topic before referring here but with the elaborate explanations, I understand it better now. Thank yo all.
Faisal Saleem said:
9 years ago
For those who wants to know about Pi/6.
Vm = 4V as Vpp = 8V.
Vref = V = 2V.
As V = Vm Sin(X) So, 2 = 4Sin(X).
Sin(X) = 0.5.
X = Sin Inverse (0.5).
X = 30 or Pi/6.
Vm = 4V as Vpp = 8V.
Vref = V = 2V.
As V = Vm Sin(X) So, 2 = 4Sin(X).
Sin(X) = 0.5.
X = Sin Inverse (0.5).
X = 30 or Pi/6.
(2)
Chenelyn Cedron said:
9 years ago
First, Duty Cycle is the ratio of the amount of time the device is on/conducting to the total period of the device.
The comparator will only be on if the input reaches 2 volts and higher. But as the input voltage goes down again beyond 2 volts, the comparator is off. This whole cycle takes 2π units so the period is 2π.
To get the total time the comparator is on, use this formula: integral_from{π/6} to {5π/6} 1dx. Divide that to the period 2π.
That's how you will get (1/3).
The comparator will only be on if the input reaches 2 volts and higher. But as the input voltage goes down again beyond 2 volts, the comparator is off. This whole cycle takes 2π units so the period is 2π.
To get the total time the comparator is on, use this formula: integral_from{π/6} to {5π/6} 1dx. Divide that to the period 2π.
That's how you will get (1/3).
(2)
Darshith S P said:
1 decade ago
As per me at 4V(+ve peak) the value of X-axis is PI/2, then at 2V the value of X-axis will become PI/4 & 3PI/4.
If so then the duty cycle will become 1/4. i.e. 25% duty cycle. Please anyone confirm with this doubt.
If so then the duty cycle will become 1/4. i.e. 25% duty cycle. Please anyone confirm with this doubt.
Umair said:
1 decade ago
Great explanation, thanks to all for the elaboration.
Mani kumar said:
1 decade ago
In general the form of sinusoidal signal is vmsin(x), where vm is peak voltage.
Given p-p is 8V, so vm=4v; so signal is 4sin(x) the period of sin wave is 2pi. equate 4sin(x) with 2 we get x=pi/6, 5pi/6; i.e sin(pi-pi/6) is also sin(pi/6), so on time is (pi-(2pi/6)).
Duty cycle = (4pi/6)/2pi = 1/3.
Given p-p is 8V, so vm=4v; so signal is 4sin(x) the period of sin wave is 2pi. equate 4sin(x) with 2 we get x=pi/6, 5pi/6; i.e sin(pi-pi/6) is also sin(pi/6), so on time is (pi-(2pi/6)).
Duty cycle = (4pi/6)/2pi = 1/3.
Sagar said:
1 decade ago
How at 2v phase is pi/6?
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