Perform the same computation as in Sec. 24.3, but for the current as specified by i ( t ) = 5 e − 1.25 t sin 2 π t for 0 ≤ t ≤ T / 2 i ( t ) = 0 for T / 2 < t ≤ T Where T = 1 s. Use five-point Gauss quadrature to estimate the integral.
Perform the same computation as in Sec. 24.3, but for the current as specified by i ( t ) = 5 e − 1.25 t sin 2 π t for 0 ≤ t ≤ T / 2 i ( t ) = 0 for T / 2 < t ≤ T Where T = 1 s. Use five-point Gauss quadrature to estimate the integral.
Solution Summary: The author explains how to calculate the root mean-square current of the given expression by numerical method.
Perform the same computation as in Sec. 24.3, but for the current as specified by
i
(
t
)
=
5
e
−
1.25
t
sin 2
π
t
for
0
≤
t
≤
T
/
2
i
(
t
)
=
0
for
T
/
2
<
t
≤
T
Where
T
=
1
s. Use five-point Gauss quadrature to estimate the integral.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Problem 3 (10 pts, suggested time 5 mins). In class we considered the mutiphysics
problem of thermal stresses in a rod. When using linear shape functions, we found that the
stress in the rod is affected by unphysical oscillations like in the following plot
E*(ux-a*T)
35000
30000
25000
20000
15000
10000
5000
-5000
-10000
0
Line Graph: E*(ux-a*T)
MULT
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Arc length
(a) [10pts] What is the origin of this issue and how can we fix it?
answer the questions and explain all of it in words. Ignore where it says screencast and in class explanation
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