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366 ⏐⏐⏐ NETWORK THEOREMS<br />

E 1<br />

10 V<br />

R 1<br />

12 �<br />

FIG. 9.122<br />

A plot of the power delivered to RL in Fig. 9.120 for a range of values for RL extending from 0 � to 30 �.<br />

R 2<br />

6 �<br />

FIG. 9.123<br />

Problem 1.<br />

R 3<br />

plot generated appears as a listing at the bottom left of the screen as<br />

W(RL).<br />

Before leaving the subject, we should mention that the power to RL<br />

can be determined in more ways than one from the Add Traces dialog<br />

box. For example, first enter a minus sign because of the resulting current<br />

direction through the resistor, and then select V2(RL) followed by<br />

the multiplication of I(RL). The following expression will appear in the<br />

Trace Expression box: V2(RL)*I(RL), which is an expression having<br />

the basic power format of P � V * I. Click OK, and the same power<br />

curve of Fig. 9.122 will appear. Other quantities, such as the voltage<br />

across the load and the current through the load, can be plotted against<br />

RL by simply following the sequence Trace-Delete All Traces-Trace-<br />

Add Trace-V1(RL) or I(RL).<br />

6 �<br />

5 V E 2<br />

PROBLEMS<br />

Th<br />

SECTION 9.2 Superposition Theorem<br />

1. a. Using superposition, find the current through each<br />

resistor of the network of Fig. 9.123.<br />

b. Find the power delivered to R1 for each source.<br />

c. Find the power delivered to R1 using the total current<br />

through R1. d. Does superposition apply to power effects? Explain.

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