Find the electric field intensity at the point (5,3,0) m in Cartesian coordinates due to a point charge Q = 0.5 µC at the origin.

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Show your complete mathematical solution for the
following problems.
Round your numerical answers to the nearest thousandths.
Enclose your final answers in a rectangle.
I.
1. Find the electric field intensity at the point (5,3,0) m in
Cartesian coordinates due to a point charge Q = 0.5 µC at the
origin.
2. An infinite uniform line charge with a line charge density
of 50 nC/m lies along the z-axis. Find the electric field
intensity at the point (3,4,5) m.
3. Charge is distributed uniformly over the plane y = -5 cm
with a surface charge density of 1/36n nC/m². Find the
Electric field intensity.
4. Find the charge in the volume defined by 0<x<5m, 0<y<5
m, and 0<z<5 m if volume charge density is 5x³y²z uC/m³.
5. Three point charges, Q1 = 100 nC, Q2 = -15 nC, and Q3
-45 nC,
%3D
are enclosed by surface S. What net flux crosses S?
Transcribed Image Text:Problem Solving Questions Show your complete mathematical solution for the following problems. Round your numerical answers to the nearest thousandths. Enclose your final answers in a rectangle. I. 1. Find the electric field intensity at the point (5,3,0) m in Cartesian coordinates due to a point charge Q = 0.5 µC at the origin. 2. An infinite uniform line charge with a line charge density of 50 nC/m lies along the z-axis. Find the electric field intensity at the point (3,4,5) m. 3. Charge is distributed uniformly over the plane y = -5 cm with a surface charge density of 1/36n nC/m². Find the Electric field intensity. 4. Find the charge in the volume defined by 0<x<5m, 0<y<5 m, and 0<z<5 m if volume charge density is 5x³y²z uC/m³. 5. Three point charges, Q1 = 100 nC, Q2 = -15 nC, and Q3 -45 nC, %3D are enclosed by surface S. What net flux crosses S?
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