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m_v=230;
f=60;
p_out=1.5*746;
pf=0.8;
eff=0.75;
disp("Part a");
p_in=p_out/eff;
m_i1=p_in/(m_v*pf);
deg_i1=acos(pf);
m_p1=m_v*m_i1;
deg_v=0;
deg_p1=deg_v+deg_i1*180/%pi;
p1=m_p1*(cos(deg_p1*%pi/180)+%i*sin(deg_p1*%pi/180));
p=real(p1);
p2=p-p1;
qc=-imag(p2);
x_c=m_v^2/qc;
c=1/(2*%pi*f*x_c);
disp("the size of the capacitor (in μF) is"); disp(c*10^6);
i2=p/m_v;
disp("the new in-line current (in A) is"); disp(i2);
disp("Part b");
pf0=0.95;
m_i20=p/(m_v*pf0);
disp("the new in-line current (in A) is"); disp(m_i20);
deg_i20=acos(0.95);
m_p0=m_v*m_i20;
deg_p0=deg_v+deg_i20;
p0=m_p0*(cos(deg_p0)+%i*sin(deg_p0));
p20=p0-p1;
q0=-imag(p20);
x_c0=m_v^2/q0;
c0=1/(2*%pi*f*x_c0);
disp("size of the capacitor (in μ) is"); disp(c0*10^6);
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