28.37 For a simple RL circuit, Kirchhoff's voltage law requires that (if Ohm's law holds) di L- + Ri = 0 dt where i = current, L= inductance, and R= resistance. Solve for i, if L = 1, R = 1.5, and i(0) = 0.5. Solve this problem analytically and with a numerical method. Present your results graphically. %3D
28.37 For a simple RL circuit, Kirchhoff's voltage law requires that (if Ohm's law holds) di L- + Ri = 0 dt where i = current, L= inductance, and R= resistance. Solve for i, if L = 1, R = 1.5, and i(0) = 0.5. Solve this problem analytically and with a numerical method. Present your results graphically. %3D
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Transcribed Image Text:28.3 A mass balance for a chemical in a completely mixed reactor
can be written as
dc
V
F- Qc - kVc
dt
where V = volume (12 m³), c = concentration (g/m³), F - feed
rate (175 g/min), Q= flow rate (1 m'/min), and k = a second-order
reaction rate (0.15 m/g/min). If c(0) = 0, solve the ODE until the
concentration reaches a stable level. Use the midpoint method
(h = 0.5) and plot your results.
Use Euler, Heun, 2 order RK methods.
28.37 For a simple RL circuit, Kirchhoff's voltage law requires
that (if Ohm's law holds)
di
L+ Ri = 0
dt
where i = current, L = inductance, and R = resistance. Solve for i,
if L = 1, R = 1.5, and i(0) = 0.5. Solve this problem analytically
and with a numerical method. Present your results graphically.
Use Euler, Heun, 2d order RK methods.
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