Question

find I using Norton's theorem, please show all work.

1. Find I, using Norton's theorem. 12 V 12v • 34612 {6kn Doma

Answer 1

Given Circuit EGIR No 4 kr 8 6ks for Rnorton : eauivalent resistance is to the found through cab terminals by replacing active sources by their internal resistance. current source as open circuit, voltage source as Short Circuit UKR & 4 kh are liter 462 in parallel 24x4 -) Ri 22 Rate = 444 = 2k2 - 9 akr and 6kr are in > RAR2 246=8 Series is Rnorton = 8 kr

Texton we : (TN) found For IN between in Short circuit current ab (by shorting and 34kr 4KL when a, b are shorted voltage at node a is equal to voltage at nodeb 4662 Doma By considering vao I = b = 12 = 2mA By apply KCL at node b INTO = I - Into=2 I=2-6= -4mA Now nortons Circuit with 6 kr resistor IMA bre

By current division wie I INX =-48 = -2.286 mo II - 2.286 mA