3. Consider the following circuit, where the source is ideal and the load has a

Question

3. Consider the following circuit, where the source is ideal and the load has a lagging power factor. The transmission line impedance is Z line, and the load impedance is ZL. How can we modify the load in order to minimize the loss (average power dissipation) in the transmission line? (a) Adjust the load so that ZL = Z line. (b) Add capacitance in parallel with the load. (c) Adjust the load so that RL, = R line, where RL and R line are the resistive parts of ZL and Zline, respectively. (d) Insert an ideal transformer for impedance matching. (e) None of the above

Explanation / Answer

total impedence ( Z ) = load impedence (Z1) + line impedence (Z2)

current ( I ) = voltage / total impedence

power loss through line impedence = I2 * line impedence

= (V / ( Z1+Z2) ) * Z2

to minimize power loss , differentiate this equation with respect to Z2 and equate it to zero.

we will get 2Z2 = Z1 + Z2

ie Z1 = Z2

Which gives answer A) adjust the load line so that load impedence = line impedence

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.