Determine the load - thevenins equivalent circuit, Electrical Engineering

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Determine the load - Thevenins Equivalent Circuit:

Determine the load for which the source shall transfer the maximum power if load is connected across the terminal A and B, under the following conditions :

1.      load is resistive, and

2.      load is complex

Solution

Calculation for VTH

i =20 ∠ 0o/11 - 3j

            = 1.692 + 0.461 j Amp

VTH = VAB = i (6 - 3 j) = 11.53 - 2.3 j Volt

Figure 4.66

Calculation for ZTH

ZTH = 5 (6 - 3 j) /11 - 3 j = 2.88 - 0.576 j Ω

Thevenin's Equivalent Circuit

Case I

Load is resistive, then value of load resistance shall be equal to magnitude of ZTH.

RL = | ZTH |

2203_Determine the load - Thevenins Equivalent Circuit.png

Case II

Load is complex :

Z L = Z * TH (Complex conjugate of ZTH)

= 2.88 + 0.576 j Ω


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