Question

P3. In the circuit shown in Figure 3, (a) determine the current I, in the 1-2 resistor. (b) Determine the current I2 in the 2-2 resistor. (c) Determine the current I3 in the 3-2 resistor. 12 ww- 20 6V 2V I1 ww 10 I3 www 30 Figure 3, Problem 3

Answer 1

11 de 22 G 2.5 1.5 12 tahun talo a in bor kov.e in applning loop abefa 2- I, #64) – 23220 = J; +234 2 -2 -1) in loop bc deb, applying k.v.. we get, 6-323-4-222-2₂=0 - 413-222=-2 2) 213 + 12 = 1 -(2) Now, applying koll at node b, we get - 12 = 2, t Iz Hence canation ) belones - 37,4 253=-2 -

& equation (2) becomes I, +373 = 1 so, we have, 2, +373 +1 -0) & 31, +213 =-2-4) by doing [ean- (3) > 3] - [ean lay] 913 - 113 = 3-(-2) =) 7 Iz 25 3 13 20.7142857143 A => 13 = 0.714 AT Cappron) So, 1,=1-313 >) 1,(i- bus la 2 1713 - A1 2) Jia - 1.142857143 A 2) 12,2 -1.143 A Cappoon)

So, 2 =2, +I3 712-6+ )" I = -0.4285714286 A |Ig= -0.429 A Cappoon) (a) the current 2, in in resister is -1.143 A (appror), the indicates that the direction of current is opposite to that of shown in the figure (b) the current through an resiston is, I2 = -0.429 A Cappoon), so the direction is opposite to that of indicated in the figure given. o the current through 3r Desiston is z= 0.714 A (appoon ).