4. When switch S: is open and switch Si is closed in Fig. 15-9, the eurrents are I - (8 + j5) and I: (4- j3). Calculate the current I1 when switch S: is open and (a) switch S: is closed to the right, and (b) switch Sa is closed to the left.

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answer number 14.write your solution pls. 

EXAMPLE 8. When switch S, is open and switch Si is closed in Fig,
Principle of Maximum Power Transfer. Large electrical systems are
because, under this condition, the transmission efficiency is low and the
operating costs, which involve fixed charges and power losses, a
never designed for maximum power transfer from generator to load
On the other hand, this is not generally true of small battery circuits and
communication networks for the reason that these systems usually handle
406
Solution
100/30°
120/10
140/-30°
120/10
5.5/-20° amp
I- 6.6/-40 X
(a)
7.7/-80° amp
(b) -
- 6.6/-40° X
(6-78) and I
(5.2+j3). Calculate the
15-9, the currents are I1
current I, when switch S1 is open, and (a) switch S2 is closed to the
and (b) switch Se is closed to the right.
SPST switch
T
Network of
bilateral-linear
impedances
E-120/0
SE=80/30°
IE=90/60'
DPDT switch
FIG. 15-9 Circuit diagram for Example 8.
a
Solution
(a) I = (6 – j8) +
80/30°
X (5.2 + j3) = (6 - j8) +
80/30°
120/0
X 6/30
120/0°
SC
= (6 - j8) + (2 + j3.47) = (8 - j4.53) amp
%3D
(b) I = (6- j8) –
90/60°
or
%3D
X 6/30° = (6 – j8) – (j4.5)
120/0°
(6- j12.5) amp
%3D
re
lin
high.
Po
are
comparatively little power and must he me
intermittent in character
the
more in
tan
Transcribed Image Text:EXAMPLE 8. When switch S, is open and switch Si is closed in Fig, Principle of Maximum Power Transfer. Large electrical systems are because, under this condition, the transmission efficiency is low and the operating costs, which involve fixed charges and power losses, a never designed for maximum power transfer from generator to load On the other hand, this is not generally true of small battery circuits and communication networks for the reason that these systems usually handle 406 Solution 100/30° 120/10 140/-30° 120/10 5.5/-20° amp I- 6.6/-40 X (a) 7.7/-80° amp (b) - - 6.6/-40° X (6-78) and I (5.2+j3). Calculate the 15-9, the currents are I1 current I, when switch S1 is open, and (a) switch S2 is closed to the and (b) switch Se is closed to the right. SPST switch T Network of bilateral-linear impedances E-120/0 SE=80/30° IE=90/60' DPDT switch FIG. 15-9 Circuit diagram for Example 8. a Solution (a) I = (6 – j8) + 80/30° X (5.2 + j3) = (6 - j8) + 80/30° 120/0 X 6/30 120/0° SC = (6 - j8) + (2 + j3.47) = (8 - j4.53) amp %3D (b) I = (6- j8) – 90/60° or %3D X 6/30° = (6 – j8) – (j4.5) 120/0° (6- j12.5) amp %3D re lin high. Po are comparatively little power and must he me intermittent in character the more in tan
418
ELECTRICAL CIRCUITS-ALTERNATING CURRENT
three impedances: E; = 120/30°, E: = 120/-30°, 21 = 2 ohms (resistance)
Z; = 2/90° ohms (inductive reactance), Z = 10/-53.1°. CRlculate the v
of the load current It and the voltage across the load, using the superposition
theorem.
5. Referring to Fig. 15-2a, interchange the sources of emf E, and E, making
E, = 120/-30° and E, 120/30°, and calculate the values of IL, EL, and P,
8. The following particulars are given for the T-network of Fig. 15.4: E = 120/02
Z. = 40 ohms (resistance), Z, = (15.6 + j19.2) ohms (resistance-inductive resc-
tance), Z. = -j30 ohms (capscitive reactance), ZL = -j40 ohms (capacitive
resctance). Using Thévenin's theorem calculate the current through and the
voltage across the load impedance ZL.
7. Using Thévenin's theorem calculate the load current and voltage, given the follow-
ing dets: E = 120/0°, Z. = Z, = j9, Z. = 12, Zz = (3.68 - j8.76). (Refer to
Fig. 15:4.)
8. Using the dats of Prob. 7, calculate the short-circuit current I, as illustrated
in Fig. 15-5, for use in Eq. (145) (page 402); after evaluating this check the load
current as determined by Thevenin's theorem in Prob. 7.
9. The following information is given. in connection with Fig. 15-4: E = 120,0°,
Z. = 12/-90°, Z, = 12/90°, Z. = 12, ZL = 8.5/45°. Calculate the load er-
rent Is and the load voltage EL, using Thévenin's theorem.
20. Solve Prob. 9 using Norton's theorem.
11. Referring to Prob. 9, assume the same values for E, Z,, Z, and Z. If three losd
impedances Zı = S.5/45°, ZL: = 8.5/-45°, and Zz: = 8.5/0° are connected to
the output terminsls, calculate the values of I Lı, ILa, and IL:.
A8. The current I = 15/-30° when E = 120/10° in Fig. 15.8a. Whst will be the
current I in Fig. 15-85 if E = 110/40°?
18. In Fig. 15.8a the current I = 4.33 - j2.5 when E 110/0°. For what voltage
in Fig. 15.8b will the current I be 6/30°?
A. When switch S: is open and switch S, is closed in Fig. 15-9, the currents are
I = (8 + j5) and I: (4 -j3). Calculate the current I when switch S: is
open and (a) switch S: is closed to the right, and (b) switch S; is closed to the left.
16. A 48-volt battery has an internal resistance of 0.22 ohm and-is connected to a
variable-resistance load through a line resistance of 1.28 ohms. For what value
of load resistance will the load power be a maximum, snd what will be the loid
current, load power, and power loss under this condition?
16. A 228-volt constant-potential generator delivers load to a variable impedance
whose values ofR and X are readily adjustable. Assuming a "looking-bsek"
impedance of (6 + j4.5) ohms calculate, for maximum load power, (a) the losd
impedance, (b) the current, (c) the load power and power factor.
17. If the load in Prob. 16 is a variable resistor calculate, for maximum load power,
the load resistance and power.
18. If the load in Prob. 16 contains a constant inductive reactance of 3.5 ohms and a
variable resistance, calculate, for maximum load power, (a) the load resistance
and impedance, (b) the load current and power.
19. If the load in Prob. 16 contains a constant resistance of 4.8 ohms and a variavie
inductive reactance, calculate, for maximum load power, (e) the load reaetance
and impedance, (b) the lond current and power.
20. Referring to Fig. 15-13a, transfora the upper delta into an equivalent star
determine the total current I as in Example 13.
Transcribed Image Text:418 ELECTRICAL CIRCUITS-ALTERNATING CURRENT three impedances: E; = 120/30°, E: = 120/-30°, 21 = 2 ohms (resistance) Z; = 2/90° ohms (inductive reactance), Z = 10/-53.1°. CRlculate the v of the load current It and the voltage across the load, using the superposition theorem. 5. Referring to Fig. 15-2a, interchange the sources of emf E, and E, making E, = 120/-30° and E, 120/30°, and calculate the values of IL, EL, and P, 8. The following particulars are given for the T-network of Fig. 15.4: E = 120/02 Z. = 40 ohms (resistance), Z, = (15.6 + j19.2) ohms (resistance-inductive resc- tance), Z. = -j30 ohms (capscitive reactance), ZL = -j40 ohms (capacitive resctance). Using Thévenin's theorem calculate the current through and the voltage across the load impedance ZL. 7. Using Thévenin's theorem calculate the load current and voltage, given the follow- ing dets: E = 120/0°, Z. = Z, = j9, Z. = 12, Zz = (3.68 - j8.76). (Refer to Fig. 15:4.) 8. Using the dats of Prob. 7, calculate the short-circuit current I, as illustrated in Fig. 15-5, for use in Eq. (145) (page 402); after evaluating this check the load current as determined by Thevenin's theorem in Prob. 7. 9. The following information is given. in connection with Fig. 15-4: E = 120,0°, Z. = 12/-90°, Z, = 12/90°, Z. = 12, ZL = 8.5/45°. Calculate the load er- rent Is and the load voltage EL, using Thévenin's theorem. 20. Solve Prob. 9 using Norton's theorem. 11. Referring to Prob. 9, assume the same values for E, Z,, Z, and Z. If three losd impedances Zı = S.5/45°, ZL: = 8.5/-45°, and Zz: = 8.5/0° are connected to the output terminsls, calculate the values of I Lı, ILa, and IL:. A8. The current I = 15/-30° when E = 120/10° in Fig. 15.8a. Whst will be the current I in Fig. 15-85 if E = 110/40°? 18. In Fig. 15.8a the current I = 4.33 - j2.5 when E 110/0°. For what voltage in Fig. 15.8b will the current I be 6/30°? A. When switch S: is open and switch S, is closed in Fig. 15-9, the currents are I = (8 + j5) and I: (4 -j3). Calculate the current I when switch S: is open and (a) switch S: is closed to the right, and (b) switch S; is closed to the left. 16. A 48-volt battery has an internal resistance of 0.22 ohm and-is connected to a variable-resistance load through a line resistance of 1.28 ohms. For what value of load resistance will the load power be a maximum, snd what will be the loid current, load power, and power loss under this condition? 16. A 228-volt constant-potential generator delivers load to a variable impedance whose values ofR and X are readily adjustable. Assuming a "looking-bsek" impedance of (6 + j4.5) ohms calculate, for maximum load power, (a) the losd impedance, (b) the current, (c) the load power and power factor. 17. If the load in Prob. 16 is a variable resistor calculate, for maximum load power, the load resistance and power. 18. If the load in Prob. 16 contains a constant inductive reactance of 3.5 ohms and a variable resistance, calculate, for maximum load power, (a) the load resistance and impedance, (b) the load current and power. 19. If the load in Prob. 16 contains a constant resistance of 4.8 ohms and a variavie inductive reactance, calculate, for maximum load power, (e) the load reaetance and impedance, (b) the lond current and power. 20. Referring to Fig. 15-13a, transfora the upper delta into an equivalent star determine the total current I as in Example 13.
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