Newton Raphson Method

In numerical analysis,  Newton's method  or  Newton – Raphson method is  named after Isaac  Newton  and Joseph  Raphson. It  is a  method  for finding successively better approximations to the roots or zeroes of a real-valued function.The  method   can also be extended to complex functions and to systems of equations. The formula used is : v j+1 =  v j  – f(v j )/f’(v j )  Here we have used matlab to solve the circuit using Newton Raphson Method Now the diode equation for current is, i =  ( 10 ) ^ (-15) (e^38v-1) Applying KCL at the node, (v-0.1/2000) + i + (v/4000)  = 0  Substituting the value of i we get, ((v-0.1)/2000) +   ( 10 ) ^ (-15) (e^38v-1)   +(v/4000) = 0 By Newton Raphson method Formula, v^((j+1)) = v^((j)) - (6000v -400+8000* (1 0)^(-15) (e^38v-1))/(6000 +8000*38* ( 10 ) ^(-15) (e^38v-1)) According to the code, First the...