Given 2 equations with 2 unknowns V 101000I V 0052 ln107 I

Given 2 equations with 2 unknowns V = 10-1000I V= 0.052 -ln(10^7 .I+ 1) 1 a) Solve in Matlab using graphical methods 1 b) Solve numerically to find V and I

Solution

1a): Rearrange the equation we get:

V - 1000I = 0

V = 0.052 ln (10^7.I + 1) = 0

1b):  

V = 10 - 1000I

V = 0.052 ln (10^7.I + 1)

equating both equations we get:

10 - 1000I = 0.052 ln(10^7.I + 1)

taking antilog both sides we get:

antilog(10 - 1000I) = antilog 0.052 ln(10^7.I + 1)

antilog (10 - 1000I) = (10^7.I + 1)^ 0.052

we get I = 0.0039

put I in first equation we get

V = 10 - (1000 x 0.0039) = 6.1