-.55 EXAMPLE 2-25 Use series and parallel equivalence to find the output voltage no and the input cur- rent is in the ladder circuit shown in Figure 2-53(a). SOLUTION: One approach is to combine parallel resistors and use voltage division to find no and then combine all resistances into a single equivalent to find the input current is. Figure 2-53(b) shows the step required to determine the equivalent resistance between the terminals B and ground. The equivalent resistance of the parallel 2R and R resistors is Real- The reduced circuit in Figure 2-53(b) is a voltage divider. Notice that the two nodes needed to find the voltage no, nodes B and ground, have been retained. The unknown voltage is found in terms of the source voltage as R 00-5 Rx2R 2 R+2R 3R R+R The input current is found by combining the equivalent resistance found previously. with the remaining resistor R to obtain REQ Uss 5 R+REQ -R-R- ls=- Application of series/parallel equivalence has reduced the ladder circuit to the single equivalent resistance shown in Figure 2-53(c). Using Ohm's law, the input current is 5 Ds 3 US RE 5 R 15 V Notice that the reduction step between Figure 2-53(b) and (c) eliminates node B, so the output voltage vo must be calculated before this reduction step is taken. ■ 330 ΩΣ ww N FIGURE P2-55 2013 38/3 FIGURE 2-53 (a) 100 mA w (b) SS 2-55 Use source transformation to find i, in Figure P2-55. 150 Ω W (0) Mus M

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2.55
EXAMPLE 2-25
Use series and parallel equivalence to find the output voltage no and the input cur
rent is in the ladder circuit shown in Figure 2-53(a).
SOLUTION:
One approach is to combine parallel resistors and use voltage division to find no
and then combine all resistances into a single equivalent to find the input current is.
Figure 2-53(b) shows the step required to determine the equivalent resistance
between the terminals B and ground. The equivalent resistance of the parallel 28
and R resistors is
Real-
The reduced circuit in Figure 2-53(b) is a voltage divider. Notice that the two nodes.
needed to find the voltage vo, nodes B and ground, have been retained. The
unknown voltage is found in terms of the source voltage as
R
DO 5 Dg=
R+R
Rx2R 2
- R
R+2R
The input current is found by combining the equivalent resistance found previously.
with the remaining resistor R to obtain
REQ2R+REQI
=R-
is =
2
5
US
REG
Application of series/parallel equivalence has reduced the ladder circuit to the single
equivalent resistance shown in Figure 2-53(c). Using Ohm's law, the input current is
=
15 V
05
3 US
SR
Notice that the reduction step between Figure 2-53(b) and (c) eliminates node B, so
the output voltage vo must be calculated before this reduction step is taken.
330 Ω -
(+
FIGURE P2-55
e
is
www
A
ZAYA
38/3
FIGURE 2-53
100 mA
(a)
Q
(b)
2M
(0)
SS 2-55 Use source transformation to find i, in Figure P2-55.
150 (2
w
Mugs
Re
Transcribed Image Text:2.55 EXAMPLE 2-25 Use series and parallel equivalence to find the output voltage no and the input cur rent is in the ladder circuit shown in Figure 2-53(a). SOLUTION: One approach is to combine parallel resistors and use voltage division to find no and then combine all resistances into a single equivalent to find the input current is. Figure 2-53(b) shows the step required to determine the equivalent resistance between the terminals B and ground. The equivalent resistance of the parallel 28 and R resistors is Real- The reduced circuit in Figure 2-53(b) is a voltage divider. Notice that the two nodes. needed to find the voltage vo, nodes B and ground, have been retained. The unknown voltage is found in terms of the source voltage as R DO 5 Dg= R+R Rx2R 2 - R R+2R The input current is found by combining the equivalent resistance found previously. with the remaining resistor R to obtain REQ2R+REQI =R- is = 2 5 US REG Application of series/parallel equivalence has reduced the ladder circuit to the single equivalent resistance shown in Figure 2-53(c). Using Ohm's law, the input current is = 15 V 05 3 US SR Notice that the reduction step between Figure 2-53(b) and (c) eliminates node B, so the output voltage vo must be calculated before this reduction step is taken. 330 Ω - (+ FIGURE P2-55 e is www A ZAYA 38/3 FIGURE 2-53 100 mA (a) Q (b) 2M (0) SS 2-55 Use source transformation to find i, in Figure P2-55. 150 (2 w Mugs Re
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