Consider a device I i = |I| cos(wt + i) + V(+) = |V| cos (wt + Bv) It has been shown that = IVIIII eos (Or- Ði) 2 рд Pg 1450 a) Suppose device is a resistor (v = R i ) Show that Qv - Ø i = 0 3 cos (Ov-Di) = 1 V||I| R 112 = = 2 2 b) Suppose device is a capacitor = 1V12 2 R a capacitor (i= c d ) voltage lags current (I = sC V = ¥ = ≤s C by 90' = Ov - O i = - 90° ⇒ =) jŵe) cos (or-di)=0 = 0 грез c) Suppose device is an inductor (V=L \ \ \(\) voltage leads current by (V 90 ( V = (SL) I⇒ = SL = Ov - Oi = +90 ¥ = jμL ) 005 (2v-8i 1=0 = 0

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
Consider a
device
I i = |I| cos(wt + i)
+
V(+) = |V| cos (wt + Bv)
It has
been shown that
<P>=
IVIIII
eos (Or- Ði)
2
рд
Pg 1450
a) Suppose device is a resistor
(v = R i )
Show that
Qv - Ø i = 0
3
cos (Ov-Di) = 1
V||I|
R 112
=
=
2
2
b) Suppose device is a capacitor
=
1V12
2 R
a capacitor (i= c d )
voltage lags current
(I = sC V
= ¥ = ≤s C
by 90'
=
Ov - O i = - 90°
⇒
=)
jŵe)
cos (or-di)=0
<p> = 0
грез
c) Suppose device is an inductor
(V=L \ \ \(\)
voltage leads current by
(V
90 ( V = (SL) I⇒ = SL
=
Ov - Oi = +90
¥ = jμL )
005 (2v-8i 1=0
<P ₁₂ > = 0
Transcribed Image Text:Consider a device I i = |I| cos(wt + i) + V(+) = |V| cos (wt + Bv) It has been shown that <P>= IVIIII eos (Or- Ði) 2 рд Pg 1450 a) Suppose device is a resistor (v = R i ) Show that Qv - Ø i = 0 3 cos (Ov-Di) = 1 V||I| R 112 = = 2 2 b) Suppose device is a capacitor = 1V12 2 R a capacitor (i= c d ) voltage lags current (I = sC V = ¥ = ≤s C by 90' = Ov - O i = - 90° ⇒ =) jŵe) cos (or-di)=0 <p> = 0 грез c) Suppose device is an inductor (V=L \ \ \(\) voltage leads current by (V 90 ( V = (SL) I⇒ = SL = Ov - Oi = +90 ¥ = jμL ) 005 (2v-8i 1=0 <P ₁₂ > = 0
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