Question

Using Kirchhoff's current law, calculate the unknown currents for the parallel circuit in Figure. lia 12 A 12A 1 G + 10 A (b)

Answer 1

Grunen, a) as we don't know in tot direction. tume) Į VIA 119A 1.9A lastines 12A ti BA W apply kat at nodel, Entering Is = leaning Is I, I, 312=3A TI (assume) ЗА 4+2= Iit 12. 11 - 12 I, = I = - 1 A (-ve sign indicates that our cassumption is opposite. hence I, direction should be reversed).

2 apply KCL at node 2 Entering Is = leaning Is. 1= 1, +3+ 12 1=1+3+ I2 12 - 34.1-ve direction. I flows in opposite of assumed direction).

(assume) b) bunen, TJ GA (assume) 15A 44, I, 9 I L=64 CU Hm + 104 IBAVI I4. at node 1, as GA is TRA entering and aA is leaving it means I is 4A at node I apply kel, entering Is = leaning In 6=2+1, 2) I the direction I = 4A L allumption is true).

rat node 2, I = 4+5=9A. apply tel, I, 45- I = at rode 3, apply kel, 12+ Iz = 3A = I= 3-9= - 6t. one direction. ies change at node 4, apply kel, assumed direction) Iin3+0= 13A