Question

1. A chain of identical lamps connected to a single power lines Christmas lights, Landscape lighting, even street lights can be made by a portion of cha leder is shown below ..winningini ...in Linn 7 S T Here Vdenotes the voltage the wth me with the hic side the top of the figure, the low side at the bottom, and Idents the car in the legs of the a r between the the Ist rung. Each lamp hastane R. and each wi t between lamp on ench wide of the power line, individually) Socha circuit can be analyzed by examining the differences V -V. and l -I. between Vall values. The examples given areally powered by AC , but we can tratta DC circuit bre) a. Find equations for these differences in terms of vid V and/or / value Your equations must be in simply writing the differences will notwffice. Here to justify the equations you drive. You obtain two distinct egation writing the same equation twice will earn only half credit 1. Continand 1. Combine the equations of part a to produce a single equation involving V values only.

Answer 1

Vn Som frin areent In In- ww> B Rw Re in brameh A B RL ohmA law Rw Int C Rw Tn nt (urrant law at nod B (8y Kirchoft's Vatt Inti t- I,. RL. -Irt O Y RL In-In -Vn+1-(2 RL From Vnt2-Vnt b) In Vat1Vn - Rw Pothoy in Vnt RL Vnt2-VnttVntt -Vn. Rw 2 nt Vnt Rw RL. Vn2R-Rw nt2-n RL.