A full-wave rectifier is a device that takes an input x(t) and produces an output y(t) that is never negative. It does this by simply inverting any negative inputs. Mathematically, y(t) = |x(t)| = √ x(t), —x(t), x(t) ≥ 0 x(t) <0. The periodic voltage signal XIN(t) shown below is fed into this rectifier producing an output your (t). 3 XIN(t) [V] 2 = −1 0 1 ~ 3 -- ts ст 6 7 8 9 Do the following: • Carefully sketch the output your(t) Find the output DC component YOUT, and carefully sketch it on the same set of axes. • Find the maximum and minimum values of the output AC component yout (t) and carefully indicate on the same set of axes where these occur. The voltage VA(t) at a node A in a circuit is periodic, with period T = 6 ms. One period is shown in the waveform below. Determine the DC component VA and the AC component va(t) and carefully sketch them va(t) [V] 4 3 2 1 0 -1 -2 -3 -4 0 1 2 3 4 t[ms] ст 5 6

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Hi im struggling to understand how you would sketch DC component Va and AC component va for the following questions. Could you show me how on both questions so i understand how to do it on different scenarios. thank you.
Also is there like a universal formula i can use as every graph is not the same. Also can u show how to identify the period of each graph.

A full-wave rectifier is a device that takes an input x(t) and produces an output y(t) that is never
negative. It does this by simply inverting any negative inputs. Mathematically,
y(t) = |x(t)| =
√ x(t),
—x(t),
x(t) ≥ 0
x(t) <0.
The periodic voltage signal XIN(t) shown below is fed into this rectifier producing an output your (t).
3
XIN(t) [V]
2
=
−1
0
1
~
3
--
ts
ст
6
7
8
9
Do the following:
•
Carefully sketch the output your(t)
Find the output DC component YOUT, and carefully sketch it on the same set of axes.
• Find the maximum and minimum values of the output AC component yout (t) and carefully
indicate on the same set of axes where these occur.
Transcribed Image Text:A full-wave rectifier is a device that takes an input x(t) and produces an output y(t) that is never negative. It does this by simply inverting any negative inputs. Mathematically, y(t) = |x(t)| = √ x(t), —x(t), x(t) ≥ 0 x(t) <0. The periodic voltage signal XIN(t) shown below is fed into this rectifier producing an output your (t). 3 XIN(t) [V] 2 = −1 0 1 ~ 3 -- ts ст 6 7 8 9 Do the following: • Carefully sketch the output your(t) Find the output DC component YOUT, and carefully sketch it on the same set of axes. • Find the maximum and minimum values of the output AC component yout (t) and carefully indicate on the same set of axes where these occur.
The voltage VA(t) at a node A in a circuit is periodic, with period T = 6 ms. One period is shown
in the waveform below.
Determine the DC component VA and the AC component va(t) and carefully sketch them
va(t) [V]
4
3
2
1
0
-1
-2
-3
-4
0
1
2
3
4
t[ms]
ст
5
6
Transcribed Image Text:The voltage VA(t) at a node A in a circuit is periodic, with period T = 6 ms. One period is shown in the waveform below. Determine the DC component VA and the AC component va(t) and carefully sketch them va(t) [V] 4 3 2 1 0 -1 -2 -3 -4 0 1 2 3 4 t[ms] ст 5 6
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