1• Waveform generationECE 201: Lecture 20bBorja PeleatoElapsed time• We often use the time properties of (dis)charging of L or C to generate v(t) or i(t) waveforms.• In an RC or RL circuit, all the voltages and currents are of the form: x(t) = x(∞)+[x(t0)-x(∞)]e-(t-t0)/τ• For a given k, we can find the time t1 for which x(t1)=k by inverting that equation:t1=t0+ τ*Loge[(k-x(∞))/(x(t0)-x(∞))]• And, similarly, time elapsed between x(t1)=k1and x(t2)=k2is t2-t1= τ*Loge[(k1-x(∞))/(k2-x(∞))]2Problem
View Full Document