Download Problem 3.8 For the circuit in Fig. P3.8: (a) Determine I. (b

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Transcript
Problem 3.8 For the circuit in Fig. P3.8:
(a) Determine I.
(b) Determine the amount of power supplied by the voltage source.
(c) How much influence does the 4-A source have on the circuit to the left of the
3-A source?
I‘
3A
V
I
2Ω
6V
8Ω
+
_
8Ω
8Ω
8Ω
4A
Figure P3.8: Circuit for Problem 3.8.
Solution: (a) At node V :
V −6 V V
+ + + 3 = 0,
2
8 8
which leads to
V
1 1 1
+ +
= 3−3 = 0
2 8 8
6V
= 0.
8
Hence,
V = 0, and I =
V
= 0 also.
8
(b)
V −6 0−6
=
= −3 A.
2
2
P = V I = 6 × (−3) = −18 W
I′ =
(minus sign confirms that voltage source is a supplier of power).
(c) None.
c
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National Technology and Science Press