An Approach to Conformal Transformation Using Symbolic Language Facilities: Application in Electrical Engineering

Algorithm 4

Program for the calculation of the derivative of the expression of the normal component of the field strength, with respect to the abscissa 𝑤, for obtaining the point where it is minimum.

#  All indexed names and symbols of variables used in this algorithm have been explained in Algorithm 1.

#  The expression of the normal component of the fied strength, to be examined, is the following:

𝐸𝑥∶=(𝑤−1)/𝑤²−(𝑏²⁰+2)⋅𝑤+1;

Deriv∶=diff(𝐸𝑥,𝑤);

Derivative∶=simplify(Deriv);

     𝐸𝑥∶=(𝑤−1)/𝑤²−𝑤𝑏²⁰−2⋅𝑤+1;

Deriv∶=1/𝑤²−𝑤𝑏²⁰−2⋅𝑤+1

        −(1/2)(𝑤−1)(2⋅𝑤−𝑏²⁰−2)/(𝑤²−𝑤𝑏²⁰−2⋅𝑤+1)^(3/2)

     Derivative∶=−(1/2)𝑏²⁰(𝑤+1)/(𝑤²−𝑤𝑏²⁰−2⋅𝑤+1)^(3/2)