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ANALYSIS METHODS

[CHAP. 4

Fig. 4-31 (cont.)

IT ¼

25 ¼ 5A 5

Now the branch currents can be obtained by working back through the circuits of Fig. 4-31(b) and 4-31(a) IC ¼ IF ¼ 12 IT ¼ 2:5 A ID ¼ IE ¼ 12 IC ¼ 1:25 A 3 5 I ¼ A 6þ3 T 3 6 10 IB ¼ I ¼ A 6þ3 T 3 IA ¼

4.16

Find the value of the adjustable resistance R which results in maximum power transfer across the terminals ab of the circuit shown in Fig. 4-32.

Fig. 4-32 First a The´venin equivalent is obtained, with V 0 ¼ 60 V and R 0 ¼ 11 . power transfer occurs for R ¼ R 0 ¼ 11 , with Pmax ¼

By Section 4.10, maximum

V 02 ¼ 81:82 W 4R 0

Supplementary Problems 4.17

Apply the mesh current method to the network of Fig. 4-33 and write the matrix equations by inspection. Obtain current I1 by expanding the numerator determinant about the column containing the voltage sources to show that each source supplies a current of 2.13 A.

Mahmood_Nahvi_eBook_Schaum_s_Outlines_Theory_An  
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