1. Registered Electrical & Mechanical Engineer BMayer@ChabotCollege.edu
Engr/Math/Physics 25
Prob 5.47, 5.57 Tutorial
Bruce Mayer, PE
Registered Electrical & Mechanical Engineer

2. Problem 5.47  Chemical Rcn Order
1st Order Rate Eqn is Expontnential
By SemiLog Linearization we can “Discover” parameters [m & b]  [C(0) & −k]
2nd Order Eqn can be LINEARIZED as
Thus ANOTHER Linearizable Fcn

3. Prob Solve 1st Step → PLOT it
Advice for Every Engineer and Applied Mathematician or Physicist:
Rule-1: When in Doubt PLOT IT!
Rule-2: If you don’t KNOW when to DOUBT, then PLOT EVERYTHING

4. Prob 5.47 When in Doubt PLOT (use SubPlot) Some CURVATURE Straight
Better Model
t X
1/C Y

5. Linear Xform of 2nd Order Reaction
Now that the plot has identified the Rcn as 2nd Order, Make Linear Xform
The 2nd Order Eqn
Use polyfit of order-1 to generate fitting parameters contained in vector k_1overC0
That is: k_1overC0 = [m, B2]; or
k_1overC0(1) = m = k
k_1overC0(2) = B2 = 1/C(0)

6. The 2nd Order Model

7. P 5.47 Answer
k_1overC0 = [m B2] = [k 1/C0] = [5.4445e e+001]
k = e-001
k =
C0 = 1/9.9605e+001
1.0040e-002
C(0) =

8. P5.57 Geometry
E-Field Governing Equation

9. The Distance Calcs
Using Pythagorean Theorem

10. The MeshGrid Plot

11. Meshc Plot MeshGrid
Prob5_57_Point_Charges_meshgrid_Plot_0910.m

12. surf Plot by MeshGrid
Prob5_57_Point_Charges_meshgrid_Plot_0910.m

13. The Loop Plot

14. Note that plot is TURNED
meshc Plot by Loop
Note that plot is TURNED

15. Note that plot is TURNED
surf Plot by Loop
Note that plot is TURNED