import numpy as np import matplotlib.pyplot as plt s=np.geomspace(.015,65,1800) fig,axes=plt.subplots(2,1,figsize=(7.2,6.0),sharex=True,layout='constrained') for Q,color in [(0.5,'#dd8a20'),(1,'#2475aa'),(3,'#8f59a4')]: H=1/(1+1j*Q*(s-1/s)) axes[0].semilogx(s,np.abs(H),color=color,label=rf'$Q=R\sqrt{{C/L}}={Q:g}$') axes[1].semilogx(s,np.angle(H)*180/np.pi,color=color) for ax in axes: ax.axvline(1,color='#777',ls=':',lw=1);ax.grid(alpha=.2) axes[0].set(ylabel=r'$|V_2/V_1|/(R/R_1)$',ylim=(0,1.07),title=r'$V_1$ is across the series resistor $R_1$') axes[0].legend(frameon=False);axes[0].annotate('peak = 1',xy=(1,1),xytext=(2.3,.91),arrowprops=dict(arrowstyle='->',color='#555')) axes[1].set(xlabel=r'Angular frequency $\omega/\omega_0$, $\omega_0=1/\sqrt{LC}$',ylabel='Phase (degrees)',ylim=(-97,97),yticks=[-90,-45,0,45,90]) axes[1].axhline(0,color='#aaa',lw=.8) fig.savefig('paper-1-ia2012-parallel-response.png',dpi=160,facecolor='white')