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        ∗      †                                        ∗   †                i     i                         v    e    + and     v                       (+)             R              v    i   v  =  iR.                         v 1   v 1  = 5 .     v 1    v 2    v 2  −  v 1  i 50  =  vR  = ( v 2  −  v 1 )50    v 2        v 2    + v 2 −    =  v 2  −  0 =  v 2   i 300  =  v 2 300    i 100  = ( v 2  −  v 3 )100   ( v 2 − v 1 )50  +  v 2 300  +  ( v 2 − v 3 )100  = 0 ⇒  6( v 2  −  v 1 ) +  v 2  + 3( v 2  −  v 3 ) = 0 ⇒ − 6 v 1  + 10 v 2  −  3 v 3  = 0 .    v 2    v 2    a + sign     v 3   ( v 3 − v 2 )100  +  v 3 2  = 0 ⇒  ( v 3  −  v 2 ) + 50 v 3  = 0 ⇒  0 v 1  −  1 v 2  + 51 v 3  = 0 .          v 3    a  +    v 1 ,v 2    v 3    1 0 0 − 6 10  − 30  − 1 51  v l v 2 v 3  =  500  ·       v 1  = 5 . 0000  volts   v 2  = 3 . 0178  volts   v 3  = 0 . 0592  volt.    A    v 3   i  =  vR  =  v 3 2 = 0 . 0296          v 1    v 4    i 1    i 2        
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