Subido por Daniel Bejarano

# ejercicio 1

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1. Represente las siguientes ondas seno de la figura
mediante un diagrama fasorial (plano complejo).
Determine sus expresiones en dominio del tiempo y
expresiones complejas de Euler. Defina si las
est&aacute; m&aacute;s.
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**-Expresiones en dominio de tiempo:**
Para la onda A:
$$V_{Amax} = 1V$$
Valores RMS
$$V_{A_{ RMS}}=V_{Amax}(\frac{1}{\sqrt2})$$
$$V_{A_{ RMS}}=0.7071 V$$
Para la onda B:
$$V_{Bmax} = 0.5 V$$
Valores RMS
$$V_{B_{ RMS}}=V_{Bmax}(\frac{1}{\sqrt2})$$
$$V_{B_{ RMS}}=0.3535 V$$
**-Forma general del selenoide:**
$$V(t)=V_mSen(wt+ϴ)$$
Para la onda A:
$$V_A(t)=0.7071Sen(wt+45&deg;)$$
$$V_A(t)=0.7071(Cos 45&deg; + jSen 45&deg;)$$
$$V_A(t)=(0.4999+ 0.4999j) V$$
Para la onda B:
$$V_B(t)=0.3535Sen(wt+90&deg;)$$
$$V_B(t)=0.3535(Cos 90&deg; + jSen 90&deg;)$$
$$V_B(t)=(j.3535 j) V$$
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ABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXgf7
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FFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAedXVldv
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KACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiii
gAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoooo
AKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKA
CiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigA
ooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK
KKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACi
iigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoo
ooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKK
KACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiii
gAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoooo
AKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKA
CiiigAooooAKKKKACiiigD//2Q==)
-El selenoide VA(t) se adelanta a VB(t) en 45&deg;.
$$ϴ=90&deg;-45&deg;$$
$$ϴ=45&deg;$$
-El selenoide VB(t) esta m&aacute;s atrazado a VA(t).