Example Use the superposition theorem to find v in the circuit of Fig. 4.6. 8Ω Solution: Since there are two sources, let 6 V 4Ω 43 A v = U1 + 2

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Superposition: Hi, can you find "v" using superposition with mesh analysis only? No current and voltage division please.
Keep in mind that superposition is based 8R
reason, it is not applicable to the effect on power due to each source,
because the power absorbed by a resistor depends on the squ'are of
the voltage or current. If the power value is needed, the current
through (or voltage across) the element must be calculated first using
superposition.
Example 4.3
Use the superposition theorem to find v in the circuit of Fig. 4.6.
82
Solution:
Since there are two sources, let
6 V
4Ω
3 A
v = U, + V2
where v and vz are the contributions due to the 6-V voltage syurce
and the 3-A current source, respectively. To obtain v,, we set the current
source to zero, as shown in Fig. 4.7(a). Applying KVL to the loop in
Fig. 4.7(a) gives
Figure 4.6
For Example 4.3.
12i, - 6 = 0
i = 0.5 A
132
Chapter 4
Circuit Theorems
89
TI
Transcribed Image Text:Keep in mind that superposition is based 8R reason, it is not applicable to the effect on power due to each source, because the power absorbed by a resistor depends on the squ'are of the voltage or current. If the power value is needed, the current through (or voltage across) the element must be calculated first using superposition. Example 4.3 Use the superposition theorem to find v in the circuit of Fig. 4.6. 82 Solution: Since there are two sources, let 6 V 4Ω 3 A v = U, + V2 where v and vz are the contributions due to the 6-V voltage syurce and the 3-A current source, respectively. To obtain v,, we set the current source to zero, as shown in Fig. 4.7(a). Applying KVL to the loop in Fig. 4.7(a) gives Figure 4.6 For Example 4.3. 12i, - 6 = 0 i = 0.5 A 132 Chapter 4 Circuit Theorems 89 TI
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