Please answer both and show work Thank you 1 of 2 E 22 5 Hom

1 of 2 E 22 5 Homeworh 2. asc oda C an lysis a 4A 5s2. 20 A osa. den, V2 d V3, an S is A/S. And th power benv supplied th HA and SA Carren f sources. 20.2

Solution

2)

from the circuit v1-v3=100 -----------------(1)

from the circuit v2-v1=60 ------------------(2)

apply nodal analysis at node v3.

(v3/40)+4=0

v3=-160 volts.

v1=v3+100=-60 volts.

v2=60+v1=0 volts.

power supplied by 4A source=4*(v3-v2)=4*-160=-640 watts.

power supplied by 5A source=5*v1=-60*5=-300 watts.

1)

apply nodal analysis at node v1.

20=v1/10+(v1-v2)/20

v1[1/10+1/20]+v2[-1/20]=20 ----------------(1)

apply nodal analysis at node v2.

(v2-v1)/20+v2/50+(v2-v3)/25=0

v1[-1/20]+v2[1/20+1/50+1/25]+v3[-1/25]=0 ----------------(2)

apply nodal analysis at node v3.

(v3-v2)/25+5+(v3-v4-20)/5=0

v2[-1/25]+v3[1/5+1/25]+v4[-1/5]=-1 ---------------------(3)

apply nodal analysis at node v4.

10=v4/100+(v4+20-v3)/5

v3[-1/50]+v4[1/5+1/100]=6 -------------------------(4)

from equations 1,2,3 and 4.

v1=18.18 volts

v2=-363.63 volts

v3=-477.27 volts.

v4=-17.7272 volts.