nductor with a radius (r) and a charge Q, depending upon the following cases: Calculate the electric field and electric potential at: d < r d > r
PROBLEM:
Write a program that computes for the Electric Field and Electric Potential at a given point in a spherical conductor with a radius (r) and a charge Q, depending upon the following cases:
Calculate the electric field and electric potential at:
-
d < r
-
d > r
-
d = r
SPECIFICATIONS:
- The program will depend on the input parameters to determine which case to use in computing for the electric field and electric potential at different points:
- Point is inside the conductor (d < r)
- Point is outside the conductor (d > r)
- Point is on the surface of the conductor (d = r)
- The user will input the charge Q, the radius of the conductor (r) and the distance of the point from the center (d)
- The constant k = 9x10^9 = 9000000000
- The program will provide an output for the electric field (V/m) and for the electric potential (V)
- You may only use the codes that we studied in our lectures.
- All lines of codes should have a comment/pseudocode.
- Save your cpp file as Surname - PE (Example: Pangaliman - PE.cpp)
To recall, the formula for solving the electric field and electric potential in electrostatic equilibrium is as follows:
A. Point is inside the conductor (r > d):
Electric Field = 0
Electric Potential = kQ/r
B. Point is outside the conductor (r < d):
Electric Field = kQ/d2
Electric Potential = kQ/d
C. Point is on the surface of the conductor (r = d)
Electric Field = kQ/r2
Electric Potential = kQ/r
TEST CASES:
If the r < d:
Enter charge (Q): 0.4
Enter the radius of the spherical conductor (r): 5
Enter the distance of the point from the center (d): 60
The electric field is 1000000 V/m and the electric potential is 60 000 000 V.
If the r > d:
Enter charge (Q): 20
Enter the radius of the spherical conductor (r): 500
Enter the distance of the point from the center (d): 60
The electric field is 0 V/m and the electric potential is 360 000 000 V.
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