Please simplify the top equation to become the bottom equati
Please simplify the top equation to become the bottom equation. Show all steps please. ( j = square root of negative one)
Vi - V2 10-2.5j4Solution
(20-V1)/10 = V1/-j2.5 + (V1 -V2)/j4
rationalise V1/-j2.5 = V1(j2.5)/6.25 = V1j/2.5
rationalise (V1 -V2)/j4 = j(V1 -V2)/-4 = (j/4)(v2 -V1)
(20-V1)/10 = V1j/2.5 + (j/4)(v2 -V1)
multiply both sides by 10
20 -V1 = 4V1*j + 2.5j*(V2 -V1)
20 = (1+4j - 2.5)V1 + 2.5J*V2
20 = (1+1.5j)V1 + 2.5j*V2
Proved

