c. Engineering Application: Electric Field for an Insulating Sphere of Charge Use filename: efield.cpp In Semiconductor Physics you will learn that Gauss' Law requires that an electric field exists whenever there is net electric charge in a region of space or in a material such as a perfect insulator. Figure 1 shows the arrangement for an insulating sphere that contains a total charge, Q coulombs, that is uniformly distributed within the sphere. E Figure 1 - Electric Field for Charged Insulating Sphere The magnitude of the electric field (N/C) at any radial distance from the center of the sphere is given by: E(r) = keQ· r< a a3' keQ r2 r > a Some requirements and recommendations for your program include: • Hardcode the following parameters as constant global variables of type double &: o Q = 10-9 C(oulomb) o ke = 9x10° (N – m²)/C² o rmin = e o rmax = 100 • In main(), set up a loop that spans all values of r in the range [rmin 100m] in increments of 1m. For each loop iteration, make a Om, rmax call to the function Efield(.) and pass in a specific radial location. The function prototype is given by %3D
c. Engineering Application: Electric Field for an Insulating Sphere of Charge Use filename: efield.cpp In Semiconductor Physics you will learn that Gauss' Law requires that an electric field exists whenever there is net electric charge in a region of space or in a material such as a perfect insulator. Figure 1 shows the arrangement for an insulating sphere that contains a total charge, Q coulombs, that is uniformly distributed within the sphere. E Figure 1 - Electric Field for Charged Insulating Sphere The magnitude of the electric field (N/C) at any radial distance from the center of the sphere is given by: E(r) = keQ· r< a a3' keQ r2 r > a Some requirements and recommendations for your program include: • Hardcode the following parameters as constant global variables of type double &: o Q = 10-9 C(oulomb) o ke = 9x10° (N – m²)/C² o rmin = e o rmax = 100 • In main(), set up a loop that spans all values of r in the range [rmin 100m] in increments of 1m. For each loop iteration, make a Om, rmax call to the function Efield(.) and pass in a specific radial location. The function prototype is given by %3D
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Transcribed Image Text:ЕЕСЕ1080C/CS1021C
Lab Functions 2
Topics covered: C++ Program Development Practice, Loops, Functions and Arrays
- Parameter 'a' is given a default value = 5@m. This can
can be overridden in the actual function cal1 (a < rmax)
- Function returns type double which is computed value of E(r)
********/
double Efield(double r, const double &a = 50);
• The total number of loop iterations (n) is given by
int n = static_cast<int>(rmax) - static_cast<int>(rmin) + 1; |/ downcast
Output the values to your terminal.
Output should look something like:
Total Charge in Sphere, Q = le-9 C
Radius of Sphere, a = 50 m
E, N/C
E(0) value
E(1) value
E(2) value
E(3) value
m
1
100
E(100) value
TESTING -
• Verify that the outputted values for the E-field are continuous at r = a
• Form the ratio of the E-field values at two radial positions, ri and r2
where ri < a and r2 > a. Confirm that E1/E2 = r}ri/a
DELIVERABLES FOR GRADING - This lab element will be auto-graded in zyBooks.
Copy and paste the contents of your Efield(..) function into the main.cpp
Window for zylabs using link provided on CANVAS site for lab (do not copy
your main() function into the window).
![EECE1080C/CS1021C
Lab Functions 2
Topics covered: C++ Program Development Practice, Loops, Functions and Arrays
c. Engineering Application: Electric Field for an Insulating Sphere of
Charge
Use filename: efield.cpp
In Semiconductor Physics you will learn that Gauss' Law requires that an
electric field exists whenever there is net electric charge in a region of
space or in a material such as a perfect insulator. Figure 1 shows the
arrangement for an insulating sphere that contains a total charge, Q
coulombs, that is uniformly distributed within the sphere.
Figure 1 - Electric Field for Charged Insulating Sphere
The magnitude of the electric field (N/C) at any radial distance from the
center of the sphere is given by:
E(r) = kel'
keë
r< a
%3D
r z a
r2
Some requirements and recommendations for your program include:
• Hardcode the following parameters as constant global variables of type
double &:
o Q = 10-9 C(oulomb)
o ke = 9x10° (N – m²)/C²
rmin = 0
%3D
rmax = 100
• In main(), set up a loop that spans all values of r in the range [rmin =
Om, rmax = 100m] in increments of 1m. For each loop iteration, make a
call to the function Efield(.) and pass in a specific radial location.
The function prototype is given by
/***](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F217f4d7c-fdc3-480b-ac26-bc970533e530%2F92e64ff2-bd12-467b-9a0d-879725292b8a%2Fas5c5cq_processed.png&w=3840&q=75)
Transcribed Image Text:EECE1080C/CS1021C
Lab Functions 2
Topics covered: C++ Program Development Practice, Loops, Functions and Arrays
c. Engineering Application: Electric Field for an Insulating Sphere of
Charge
Use filename: efield.cpp
In Semiconductor Physics you will learn that Gauss' Law requires that an
electric field exists whenever there is net electric charge in a region of
space or in a material such as a perfect insulator. Figure 1 shows the
arrangement for an insulating sphere that contains a total charge, Q
coulombs, that is uniformly distributed within the sphere.
Figure 1 - Electric Field for Charged Insulating Sphere
The magnitude of the electric field (N/C) at any radial distance from the
center of the sphere is given by:
E(r) = kel'
keë
r< a
%3D
r z a
r2
Some requirements and recommendations for your program include:
• Hardcode the following parameters as constant global variables of type
double &:
o Q = 10-9 C(oulomb)
o ke = 9x10° (N – m²)/C²
rmin = 0
%3D
rmax = 100
• In main(), set up a loop that spans all values of r in the range [rmin =
Om, rmax = 100m] in increments of 1m. For each loop iteration, make a
call to the function Efield(.) and pass in a specific radial location.
The function prototype is given by
/***
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