Transients in RLC-circuits calculated using the Ti-84 Plus
In RLC electric circuits, special phenomena can occur (such as resonance). The behavior of the RLC circuit depends on the values of R, L and C. With the second order differential solver program and the post process program the phenomena can be investigated which is important for electrical engineering.
For extra information about the second order differential equation solver, go to :
Example (see scheme) with: R1=10 Ω, L1=100 mH, C1=10 uF, V1=12V DC
Formulas for the electric circuit and applied in the Ti-Basic program
For this case, it yields :
y=Uc1, A=L1C1=1E-6, B-=R1C1=1E-4,
C=1, f(x) =12V
For numerical processes, the step size is an important parameter. For this example, next step size is chosen.
Step size dx < √(A/C) /100 = √((1E-6))/100 =0.001/100=1E-5 sec or dx <(B/C)/20 = 0.025 sec
Take the smallest step size of dx which is dx=0.00001=1E-5 sec for this example.
More info about the step size, go to :
The result obtained with the Ti show that at 3.12 msec the maximum capacitor voltage equals 22.25 V. The Ti results approach the results of Multisim and the analytical solution extremely well. At t=0.22 sec, values of the numerical program and the analytical solution agree.
Results Multisim analytical solution
News July 2023: The third version DV2ETRV3 is now available with 999 calculated points stored.
Download the program DV2ETRV3.8xp :
News July 2023: The third version DV2ETRV3 is now available with 999 calculated points stored.