In the circuit in Figure 3, first find the Thevinin equivalent circuit (Vth and Zth) at terminals a-b. Use the Thevinin equivalent circuit to: i. Find ZL which, if connected between terminals a-b, will absorb maximum average power. Determine that power. ii. If, instead of ZL, only RL, (no imaginary part) is connected between terminals a-b, find its value which will absorb maximum average power. Determine that power. (Express Vth in polar form and, Zth and ZL in rectangular form.) j60 4/0° A RMS a b C d с d :50 0 30 Ω ww Vth (in polar form) Zth (in rectangular form) ZL (for maximum average power, in rectangular form) PLmax (Average power absorbed by ZL) RL (for maximum average power) PLmax (Average power absorbed by RL) -j100 Ω a b Figure 3
In the circuit in Figure 3, first find the Thevinin equivalent circuit (Vth and Zth) at terminals a-b. Use the Thevinin equivalent circuit to: i. Find ZL which, if connected between terminals a-b, will absorb maximum average power. Determine that power. ii. If, instead of ZL, only RL, (no imaginary part) is connected between terminals a-b, find its value which will absorb maximum average power. Determine that power. (Express Vth in polar form and, Zth and ZL in rectangular form.) j60 4/0° A RMS a b C d с d :50 0 30 Ω ww Vth (in polar form) Zth (in rectangular form) ZL (for maximum average power, in rectangular form) PLmax (Average power absorbed by ZL) RL (for maximum average power) PLmax (Average power absorbed by RL) -j100 Ω a b Figure 3
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:In the circuit in Figure 3, first find the Thevinin equivalent circuit
(Vth and Zth) at terminals a-b. Use the Thevinin equivalent circuit to:
i.
Find ZL which, if connected between terminals a-b, will absorb maximum
average power. Determine that power.
ii.
If, instead of ZL, only RL, (no imaginary part) is connected between terminals
a-b, find its value which will absorb maximum average power. Determine that
power.
(Express Vth in polar form and, Zth and Z₁ in rectangular form.)
j60 n
4/0° A
RMS
a
b
с
с
d
THE
350 Ω
30 Ω
m
V th
(in polar form)
Zth
(in rectangular form)
ZL (for maximum
average power, in
rectangular form)
PLmax (Average power
absorbed by ZL)
RL (for maximum
average power)
PLmax (Average power
absorbed by RL)
-j100
b
Figure 3
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Step 1: Summarize the details given:
VIEWStep 2: i. a. Find Thevenin's voltage in polar form.
VIEWStep 3: i. b. Find Thevenin's impedance in rectangular form.
VIEWStep 4: i. c. Find the load impedance for the maximum power transfer.
VIEWStep 5: i. d. Find the average power absorbed by the load.
VIEWStep 6: ii. c. Find the loadresistance for the maximum power transfer.
VIEWStep 7: ii. d. Find the average power absorbed by the load.
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