Question
Download Solution PDFA source having internal impedance of (9 + j12) Ω is to deliver maximum power to a resistive load. The load resistance should be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
When load impedance is the complex conjugate of internal impedance then maximum power is transferred to the load because net reactance will be zero, so total reactive power will be zero also.
\({Z_L} = Z_s^*\)
|
Load variable |
The load impedance for maximum power transfer |
|---|---|
|
RL and XL are variable |
RL = RS XL = -XS ZL = ZS* |
|
RL only varied and XL = Constant |
RL =√(RS2 + (XL + XS)2) |
|
RL only varied and XL = 0 |
RL =√(RS2 + XS2) |
Calculation:
Zin = 9 + j 12 Ω
To deliver maximum power:
\({R_L} = \left| {{Z_{TH}}} \right|\)
\( = \sqrt {81 + 144} \)
RL = 15 Ω
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