Question

Problem 2. An experiment with an RC-circuit shown in the VR(I) figure is conducted. The experiment starts by closing the switch S and measuring the resistor voltages Vg every 4 seconds. The data R (5 MO) measured in the experiment is: t(s) 2 10 14 18 22 6 Vr(V) 9.75 6.6 4.54 2.85 2.15 1.46 (a) Obtain the resistor voltage at t = 7.35s using the 2"nd. and 3rd-order Newton's Interpolation formulation. Order the points so that they are as close to and as centered about the unknown as possible. Calculate the value of the remainder for the 2"d-order polynomial in two ways.

Answer 1

A t 3 9.15 3.15 G.C 2 o6 -O72 4.5y 37 -I.69 2-85 0, 99 - o,70 - O. 98 2.1S 8 O ol -o69 22 seeh4(alan di, we have p a 735- ph o.337; ot P (P-)y PP- D(P-2 A3y 31 24 0ider 337 -2-0) o 33 7(o3375-1)x y(7.3)6.C o o.37 337S-) (0.337-2)x 0.9 337 O X G.G o69525 2 O 04/365 +0.04 275 5. 9 06135 5 91 upto T Uted with CS CamScaner

nd get oy value Bm Reus ast teum We (735 y7-35) O. 69525o 04136S 5 86 339 5. 86 osdlex CS Scanned with CamScanner

Therefore Voltage at t=7.35sec is 5.91 V up to third order while 5.86 up to second order!