EECE 210 Homework 4 Solution, Spring 2008
American University of Beirut · Electric Circuits · 3 pages · with solution
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P25
P5316
Homework 4
Solution
25 x 107%
lal t = 500 -
Va = —50 x 10%i, = —250mV
Va Va Va — Vo
(h] 55,000 * 10,000 * 40,000 ~
0
4vu, + 20v, + 5va — 5p = 0
Uo = 29u,/5 = —1.45 V
[ce] in =5 pA
—Uo Ua — U,
[d] i, = + ;
30,000 40,000
= 78.33 wA
{a] This circuit is an example of an inverting summing amplifier.
220 220 220
[b] Yo, = 3a Ue — 5 Ub — “oy Ue 8 + 15. — Ti 4,9
22 80
[ce] vo = —19 — 10, = +6
Up =—1.3 V when v,=—-6 V;
Up = —2.5 V when vu, =6 V
—2.5 V<u<-13V
@
P 5.25
[Parsi
[a] The circuit is a non-inverting summing amplifier.
— Up
x 108
Up — U
tb] 4.7x 103 a
Up
3.3
Up = 0.5875v, + 0.4125u,
Un
10,000
4.
Un — Vo _
100,000 2
Vo = 1lv_, = 11vp = 6.4625v, + 4.5375u, = 8.03 V
Uo
— = 730 mV
[ce] uy =n = TI
Va — Up
‘a 33 x 108
—100 pA
— Yb —
~ 4.7 x 103
[d] 6.4625 for v,
ip = 100 nA
4.5375 for vp
_ Ra(Rat Ry), Ro _ 47(110)
fal = RR + Ra)? Ra* — 10(80)
vp = 5.17 — 6.70 = -1.53 V
800)(47
[b] vn = vp = COVED = azomv
(670 — 470)10-%
— WATE = 20 nA
te 10 x 103 ie
-3
_& _ 670X103 cag
ot, = WOR ie!
[ce] Rin = Re + Ra = 80kQ
n
(0.80) — 10(0.67)
Rat Ry
Un — Va Un — Vo =0
4700 Rs
R; 4 1) _ vale _
“ re 4700?
Rs + 1) Rp =— a Us =
an R,+R, ° 4700 *
Me i, ey th
4700
Rr
anaiaete 1 =
4700 *
11R, = 10R, + 10Ro
Ra + Ry = 220kQ
11R, = 220kQ
Ra = 20kQ
Ry = 220 — 20 = 200kQ
Ry, = 10R,