Step 1: Understanding THPC: THPC stands for Tetrakis(hydroxymethyl)phosphonium chloride. It's a phosphorus-containing compound used as a flame retardant, particularly for cotton fabrics.
Step 2: THPC Synthesis: Tetrakis(hydroxymethyl)phosphonium chloride (THPC) is synthesized by reacting phosphine gas PH3 with formaldehyde HCHO and hydrochloric acid HCl. This reaction results in the formation of a phosphonium salt.
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.