QB/d cp2.6

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• _Name_* QB/d_cp2.6
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• _See_*user:Guy vandegrift

*_Quiz_*

1

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=3 m. The other four surfaces are rectangles in y=y₀=1 m, y=y₁=5 m, z=z₀=1 m, and z=z₁=3 m. The surfaces in the yz plane each have area 8m². Those in the xy plane have area 12m² ,and those in the zx plane have area 6m². An electric field of magnitude 10 N/C has components in the y and z directions and is directed at 30° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

	a) 3.549E+01 N·m2/C
	b) 3.904E+01 N·m2/C
	c) 4.294E+01 N·m2/C
	d) 4.724E+01 N·m2/C
	e) 5.196E+01 N·m2/C

2

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=3 m. The other four surfaces are rectangles in y=y₀=1 m, y=y₁=5 m, z=z₀=1 m, and z=z₁=3 m. The surfaces in the yz plane each have area 8m². Those in the xy plane have area 12m² ,and those in the zx plane have area 6m². An electric field of magnitude 10 N/C has components in the y and z directions and is directed at 60° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

	a) 4.724E+01 N·m2/C
	b) 5.196E+01 N·m2/C
	c) 5.716E+01 N·m2/C
	d) 6.287E+01 N·m2/C
	e) 6.916E+01 N·m2/C

3

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=3 m. The other four surfaces are rectangles in y=y₀=1 m, y=y₁=5 m, z=z₀=1 m, and z=z₁=3 m. The surfaces in the yz plane each have area 8m². Those in the xy plane have area 12m² ,and those in the zx plane have area 6m². An electric field has the xyz components (0, 8.7, 5.0) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

	a) 4.745E+01 N·m2/C
	b) 5.220E+01 N·m2/C
	c) 5.742E+01 N·m2/C
	d) 6.316E+01 N·m2/C
	e) 6.948E+01 N·m2/C

4 What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=3, y=0), (x=0, y=2), and (x=3, y=2), where x and y are measured in meters. The electric field is,
${\vec {E}}=1y^{1}{\hat {i}}+2x^{3}{\hat {j}}+3y^{2}{\hat {k}}$

	a) 1.983E+01 V·m
	b) 2.182E+01 V·m
	c) 2.400E+01 V·m
	d) 2.640E+01 V·m
	e) 2.904E+01 V·m

5 Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 5 nano-Coulombs. What is the magnitude of the electric field at a distance of 3.5 m from the center of the shells?

	a) 1.102E+01 N/C
	b) 1.212E+01 N/C
	c) 1.333E+01 N/C
	d) 1.467E+01 N/C
	e) 1.613E+01 N/C

6 A non-conducting sphere of radius R=2 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar² (r≤R) where a=1 nC·m^-1. What is the magnitude of the electric field at a distance of 1 m from the center?

	a) 1.867E+01 N/C
	b) 2.053E+01 N/C
	c) 2.259E+01 N/C
	d) 2.485E+01 N/C
	e) 2.733E+01 N/C

Other renditions

*_Question_* 1

*_Rendition_* 1-2

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.8 m. The other four surfaces are rectangles in y=y₀=1.2 m, y=y₁=4.4 m, z=z₀=1.2 m, and z=z₁=4.6 m. The surfaces in the yz plane each have area 11.0m². Those in the xy plane have area 9.0m² ,and those in the zx plane have area 9.5m². An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 35° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 6.445E+01 N·m²/C -b) 7.089E+01 N·m²/C -c) 7.798E+01 N·m²/C +d) 8.578E+01 N·m²/C -e) 9.436E+01 N·m²/C

*_Rendition_* 1-3

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.4 m. The other four surfaces are rectangles in y=y₀=1.6 m, y=y₁=4.2 m, z=z₀=1.1 m, and z=z₁=5.9 m. The surfaces in the yz plane each have area 12.0m². Those in the xy plane have area 3.6m² ,and those in the zx plane have area 6.7m². An electric field of magnitude 16 N/C has components in the y and z directions and is directed at 53° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.420E+01 N·m²/C -b) 4.862E+01 N·m²/C -c) 5.348E+01 N·m²/C -d) 5.882E+01 N·m²/C +e) 6.471E+01 N·m²/C

*_Rendition_* 1-4

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.1 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.0 m, z=z₀=1.8 m, and z=z₁=5.7 m. The surfaces in the yz plane each have area 14.0m². Those in the xy plane have area 3.9m² ,and those in the zx plane have area 4.3m². An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 31° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.521E+01 N·m²/C -b) 4.973E+01 N·m²/C -c) 5.470E+01 N·m²/C -d) 6.017E+01 N·m²/C +e) 6.619E+01 N·m²/C

*_Rendition_* 1-5

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.9 m. The other four surfaces are rectangles in y=y₀=1.6 m, y=y₁=5.1 m, z=z₀=1.3 m, and z=z₁=4.7 m. The surfaces in the yz plane each have area 12.0m². Those in the xy plane have area 6.6m² ,and those in the zx plane have area 6.5m². An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 46° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 5.385E+01 N·m²/C -b) 5.923E+01 N·m²/C -c) 6.516E+01 N·m²/C -d) 7.167E+01 N·m²/C -e) 7.884E+01 N·m²/C

*_Rendition_* 1-6

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.3 m. The other four surfaces are rectangles in y=y₀=1.6 m, y=y₁=5.2 m, z=z₀=1.6 m, and z=z₁=4.7 m. The surfaces in the yz plane each have area 11.0m². Those in the xy plane have area 4.7m² ,and those in the zx plane have area 4.0m². An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 43° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 2.214E+01 N·m²/C -b) 2.436E+01 N·m²/C -c) 2.679E+01 N·m²/C -d) 2.947E+01 N·m²/C +e) 3.242E+01 N·m²/C

*_Rendition_* 1-7

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.1 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=5.6 m, z=z₀=1.8 m, and z=z₁=4.2 m. The surfaces in the yz plane each have area 9.4m². Those in the xy plane have area 8.2m² ,and those in the zx plane have area 5.0m². An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 29° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 2.186E+01 N·m²/C -b) 2.404E+01 N·m²/C +c) 2.645E+01 N·m²/C -d) 2.909E+01 N·m²/C -e) 3.200E+01 N·m²/C

*_Rendition_* 1-8

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.6 m. The other four surfaces are rectangles in y=y₀=1.2 m, y=y₁=5.6 m, z=z₀=1.2 m, and z=z₁=4.4 m. The surfaces in the yz plane each have area 14.0m². Those in the xy plane have area 11.0m² ,and those in the zx plane have area 8.3m². An electric field of magnitude 9 N/C has components in the y and z directions and is directed at 39° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.809E+01 N·m²/C -b) 5.290E+01 N·m²/C +c) 5.819E+01 N·m²/C -d) 6.401E+01 N·m²/C -e) 7.041E+01 N·m²/C

*_Rendition_* 1-9

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.1 m. The other four surfaces are rectangles in y=y₀=1.1 m, y=y₁=5.3 m, z=z₀=1.1 m, and z=z₁=4.3 m. The surfaces in the yz plane each have area 13.0m². Those in the xy plane have area 8.8m² ,and those in the zx plane have area 6.7m². An electric field of magnitude 10 N/C has components in the y and z directions and is directed at 39° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 3.924E+01 N·m²/C -b) 4.316E+01 N·m²/C -c) 4.748E+01 N·m²/C +d) 5.222E+01 N·m²/C -e) 5.745E+01 N·m²/C

*_Rendition_* 1-10

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.4 m. The other four surfaces are rectangles in y=y₀=1.2 m, y=y₁=4.2 m, z=z₀=1.2 m, and z=z₁=4.1 m. The surfaces in the yz plane each have area 8.7m². Those in the xy plane have area 7.2m² ,and those in the zx plane have area 7.0m². An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 58° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.024E+01 N·m²/C +b) 4.426E+01 N·m²/C -c) 4.868E+01 N·m²/C -d) 5.355E+01 N·m²/C -e) 5.891E+01 N·m²/C

*_Rendition_* 1-11

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.4 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=5.8 m, z=z₀=1.3 m, and z=z₁=4.4 m. The surfaces in the yz plane each have area 13.0m². Those in the xy plane have area 9.8m² ,and those in the zx plane have area 7.4m². An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 46° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 8.457E+01 N·m²/C +b) 9.303E+01 N·m²/C -c) 1.023E+02 N·m²/C -d) 1.126E+02 N·m²/C -e) 1.238E+02 N·m²/C

*_Rendition_* 1-12

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.7 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.7 m, z=z₀=1.4 m, and z=z₁=4.8 m. The surfaces in the yz plane each have area 14.0m². Those in the xy plane have area 7.1m² ,and those in the zx plane have area 5.8m². An electric field of magnitude 19 N/C has components in the y and z directions and is directed at 33° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 6.920E+01 N·m²/C -b) 7.612E+01 N·m²/C -c) 8.373E+01 N·m²/C +d) 9.210E+01 N·m²/C -e) 1.013E+02 N·m²/C

*_Rendition_* 1-13

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.7 m. The other four surfaces are rectangles in y=y₀=1.9 m, y=y₁=4.3 m, z=z₀=1.7 m, and z=z₁=5.7 m. The surfaces in the yz plane each have area 9.6m². Those in the xy plane have area 4.1m² ,and those in the zx plane have area 6.8m². An electric field of magnitude 13 N/C has components in the y and z directions and is directed at 27° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 7.876E+01 N·m²/C -b) 8.664E+01 N·m²/C -c) 9.531E+01 N·m²/C -d) 1.048E+02 N·m²/C -e) 1.153E+02 N·m²/C

*_Rendition_* 1-14

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.5 m. The other four surfaces are rectangles in y=y₀=1.4 m, y=y₁=4.9 m, z=z₀=1.1 m, and z=z₁=4.4 m. The surfaces in the yz plane each have area 12.0m². Those in the xy plane have area 5.3m² ,and those in the zx plane have area 5.0m². An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 29° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 7.793E+01 N·m²/C -b) 8.572E+01 N·m²/C -c) 9.429E+01 N·m²/C -d) 1.037E+02 N·m²/C -e) 1.141E+02 N·m²/C

*_Rendition_* 1-15

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.8 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.8 m, z=z₀=1.1 m, and z=z₁=5.2 m. The surfaces in the yz plane each have area 18.0m². Those in the xy plane have area 12.0m² ,and those in the zx plane have area 11.0m². An electric field of magnitude 13 N/C has components in the y and z directions and is directed at 60° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 5.606E+01 N·m²/C -b) 6.167E+01 N·m²/C -c) 6.784E+01 N·m²/C +d) 7.462E+01 N·m²/C -e) 8.208E+01 N·m²/C

*_Rendition_* 1-16

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.4 m. The other four surfaces are rectangles in y=y₀=1.2 m, y=y₁=5.8 m, z=z₀=1.2 m, and z=z₁=5.0 m. The surfaces in the yz plane each have area 17.0m². Those in the xy plane have area 6.4m² ,and those in the zx plane have area 5.3m². An electric field of magnitude 5 N/C has components in the y and z directions and is directed at 25° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 1.992E+01 N·m²/C -b) 2.192E+01 N·m²/C +c) 2.411E+01 N·m²/C -d) 2.652E+01 N·m²/C -e) 2.917E+01 N·m²/C

*_Rendition_* 1-17

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.3 m. The other four surfaces are rectangles in y=y₀=1.2 m, y=y₁=5.5 m, z=z₀=1.7 m, and z=z₁=5.1 m. The surfaces in the yz plane each have area 15.0m². Those in the xy plane have area 9.9m² ,and those in the zx plane have area 7.8m². An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 58° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 1.698E+01 N·m²/C -b) 1.868E+01 N·m²/C -c) 2.055E+01 N·m²/C -d) 2.260E+01 N·m²/C +e) 2.486E+01 N·m²/C

*_Rendition_* 1-18

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.3 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.8 m, z=z₀=1.7 m, and z=z₁=5.8 m. The surfaces in the yz plane each have area 18.0m². Those in the xy plane have area 5.6m² ,and those in the zx plane have area 5.3m². An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 40° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 3.712E+01 N·m²/C -b) 4.083E+01 N·m²/C +c) 4.491E+01 N·m²/C -d) 4.940E+01 N·m²/C -e) 5.434E+01 N·m²/C

*_Rendition_* 1-19

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.0 m. The other four surfaces are rectangles in y=y₀=1.3 m, y=y₁=4.4 m, z=z₀=1.3 m, and z=z₁=4.2 m. The surfaces in the yz plane each have area 9.0m². Those in the xy plane have area 6.2m² ,and those in the zx plane have area 5.8m². An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 32° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 3.695E+01 N·m²/C -b) 4.065E+01 N·m²/C -c) 4.472E+01 N·m²/C -d) 4.919E+01 N·m²/C +e) 5.411E+01 N·m²/C

*_Rendition_* 1-20

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.8 m. The other four surfaces are rectangles in y=y₀=1.1 m, y=y₁=4.9 m, z=z₀=1.3 m, and z=z₁=5.6 m. The surfaces in the yz plane each have area 16.0m². Those in the xy plane have area 6.8m² ,and those in the zx plane have area 7.7m². An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 57° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 6.898E+01 N·m²/C +b) 7.588E+01 N·m²/C -c) 8.347E+01 N·m²/C -d) 9.181E+01 N·m²/C -e) 1.010E+02 N·m²/C

*_Question_* 2

*_Rendition_* 2-2

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.2 m. The other four surfaces are rectangles in y=y₀=1.8 m, y=y₁=4.8 m, z=z₀=1.8 m, and z=z₁=4.3 m. The surfaces in the yz plane each have area 7.5m². Those in the xy plane have area 3.6m² ,and those in the zx plane have area 3.0m². An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 49° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 2.058E+01 N·m²/C -b) 2.264E+01 N·m²/C +c) 2.491E+01 N·m²/C -d) 2.740E+01 N·m²/C -e) 3.014E+01 N·m²/C

*_Rendition_* 2-3

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.9 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=5.9 m, z=z₀=1.3 m, and z=z₁=5.3 m. The surfaces in the yz plane each have area 17.0m². Those in the xy plane have area 12.0m² ,and those in the zx plane have area 12.0m². An electric field of magnitude 5 N/C has components in the y and z directions and is directed at 26° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 1.737E+01 N·m²/C -b) 1.910E+01 N·m²/C -c) 2.101E+01 N·m²/C -d) 2.311E+01 N·m²/C +e) 2.543E+01 N·m²/C

*_Rendition_* 2-4

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.6 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=5.4 m, z=z₀=1.4 m, and z=z₁=5.6 m. The surfaces in the yz plane each have area 16.0m². Those in the xy plane have area 9.6m² ,and those in the zx plane have area 11.0m². An electric field of magnitude 15 N/C has components in the y and z directions and is directed at 33° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 8.921E+01 N·m²/C -b) 9.813E+01 N·m²/C -c) 1.079E+02 N·m²/C -d) 1.187E+02 N·m²/C -e) 1.306E+02 N·m²/C

*_Rendition_* 2-5

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.3 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=4.6 m, z=z₀=1.6 m, and z=z₁=5.8 m. The surfaces in the yz plane each have area 13.0m². Those in the xy plane have area 7.1m² ,and those in the zx plane have area 9.7m². An electric field of magnitude 17 N/C has components in the y and z directions and is directed at 43° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 8.415E+01 N·m²/C -b) 9.256E+01 N·m²/C -c) 1.018E+02 N·m²/C +d) 1.120E+02 N·m²/C -e) 1.232E+02 N·m²/C

*_Rendition_* 2-6

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.0 m. The other four surfaces are rectangles in y=y₀=1.8 m, y=y₁=5.8 m, z=z₀=1.9 m, and z=z₁=5.9 m. The surfaces in the yz plane each have area 16.0m². Those in the xy plane have area 8.0m² ,and those in the zx plane have area 8.0m². An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 39° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 3.662E+01 N·m²/C +b) 4.028E+01 N·m²/C -c) 4.430E+01 N·m²/C -d) 4.873E+01 N·m²/C -e) 5.361E+01 N·m²/C

*_Rendition_* 2-7

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.7 m. The other four surfaces are rectangles in y=y₀=1.6 m, y=y₁=4.4 m, z=z₀=1.2 m, and z=z₁=5.9 m. The surfaces in the yz plane each have area 13.0m². Those in the xy plane have area 7.6m² ,and those in the zx plane have area 13.0m². An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 46° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.988E+01 N·m²/C -b) 5.487E+01 N·m²/C -c) 6.035E+01 N·m²/C -d) 6.639E+01 N·m²/C +e) 7.303E+01 N·m²/C

*_Rendition_* 2-8

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.8 m. The other four surfaces are rectangles in y=y₀=1.4 m, y=y₁=4.7 m, z=z₀=1.8 m, and z=z₁=4.7 m. The surfaces in the yz plane each have area 9.6m². Those in the xy plane have area 9.2m² ,and those in the zx plane have area 8.1m². An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 32° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 2.134E+01 N·m²/C -b) 2.347E+01 N·m²/C +c) 2.582E+01 N·m²/C -d) 2.840E+01 N·m²/C -e) 3.124E+01 N·m²/C

*_Rendition_* 2-9

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.2 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=4.3 m, z=z₀=1.5 m, and z=z₁=4.7 m. The surfaces in the yz plane each have area 8.3m². Those in the xy plane have area 5.7m² ,and those in the zx plane have area 7.0m². An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 28° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 5.408E+01 N·m²/C +b) 5.949E+01 N·m²/C -c) 6.544E+01 N·m²/C -d) 7.198E+01 N·m²/C -e) 7.918E+01 N·m²/C

*_Rendition_* 2-10

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.6 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=4.4 m, z=z₀=1.5 m, and z=z₁=5.5 m. The surfaces in the yz plane each have area 12.0m². Those in the xy plane have area 4.6m² ,and those in the zx plane have area 6.4m². An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 39° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 3.222E+01 N·m²/C -b) 3.544E+01 N·m²/C -c) 3.899E+01 N·m²/C -d) 4.289E+01 N·m²/C -e) 4.718E+01 N·m²/C

*_Rendition_* 2-11

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.2 m. The other four surfaces are rectangles in y=y₀=1.8 m, y=y₁=5.3 m, z=z₀=1.2 m, and z=z₁=5.5 m. The surfaces in the yz plane each have area 15.0m². Those in the xy plane have area 7.7m² ,and those in the zx plane have area 9.5m². An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 50° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 5.989E+01 N·m²/C -b) 6.588E+01 N·m²/C -c) 7.247E+01 N·m²/C +d) 7.971E+01 N·m²/C -e) 8.769E+01 N·m²/C

*_Rendition_* 2-12

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.5 m. The other four surfaces are rectangles in y=y₀=1.4 m, y=y₁=4.3 m, z=z₀=1.2 m, and z=z₁=4.6 m. The surfaces in the yz plane each have area 9.9m². Those in the xy plane have area 4.3m² ,and those in the zx plane have area 5.1m². An electric field of magnitude 19 N/C has components in the y and z directions and is directed at 31° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 3.750E+01 N·m²/C -b) 4.125E+01 N·m²/C -c) 4.537E+01 N·m²/C +d) 4.991E+01 N·m²/C -e) 5.490E+01 N·m²/C

*_Rendition_* 2-13

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.5 m. The other four surfaces are rectangles in y=y₀=1.4 m, y=y₁=4.8 m, z=z₀=1.7 m, and z=z₁=4.6 m. The surfaces in the yz plane each have area 9.9m². Those in the xy plane have area 8.5m² ,and those in the zx plane have area 7.2m². An electric field of magnitude 14 N/C has components in the y and z directions and is directed at 55° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 8.314E+01 N·m²/C -b) 9.146E+01 N·m²/C -c) 1.006E+02 N·m²/C -d) 1.107E+02 N·m²/C -e) 1.217E+02 N·m²/C

*_Rendition_* 2-14

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.3 m. The other four surfaces are rectangles in y=y₀=1.1 m, y=y₁=5.7 m, z=z₀=1.8 m, and z=z₁=4.5 m. The surfaces in the yz plane each have area 12.0m². Those in the xy plane have area 6.0m² ,and those in the zx plane have area 3.5m². An electric field of magnitude 5 N/C has components in the y and z directions and is directed at 38° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 9.823E+00 N·m²/C +b) 1.080E+01 N·m²/C -c) 1.189E+01 N·m²/C -d) 1.307E+01 N·m²/C -e) 1.438E+01 N·m²/C

*_Rendition_* 2-15

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.5 m. The other four surfaces are rectangles in y=y₀=1.4 m, y=y₁=4.9 m, z=z₀=1.1 m, and z=z₁=5.3 m. The surfaces in the yz plane each have area 15.0m². Those in the xy plane have area 8.8m² ,and those in the zx plane have area 10.0m². An electric field of magnitude 9 N/C has components in the y and z directions and is directed at 50° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 5.439E+01 N·m²/C -b) 5.983E+01 N·m²/C -c) 6.581E+01 N·m²/C +d) 7.239E+01 N·m²/C -e) 7.963E+01 N·m²/C

*_Rendition_* 2-16

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.6 m. The other four surfaces are rectangles in y=y₀=1.3 m, y=y₁=4.4 m, z=z₀=1.4 m, and z=z₁=5.5 m. The surfaces in the yz plane each have area 13.0m². Those in the xy plane have area 5.0m² ,and those in the zx plane have area 6.6m². An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 34° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 2.756E+01 N·m²/C -b) 3.032E+01 N·m²/C -c) 3.335E+01 N·m²/C -d) 3.668E+01 N·m²/C +e) 4.035E+01 N·m²/C

*_Rendition_* 2-17

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.4 m. The other four surfaces are rectangles in y=y₀=1.9 m, y=y₁=5.3 m, z=z₀=1.4 m, and z=z₁=5.5 m. The surfaces in the yz plane each have area 14.0m². Those in the xy plane have area 8.2m² ,and those in the zx plane have area 9.8m². An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 58° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 6.270E+01 N·m²/C -b) 6.897E+01 N·m²/C -c) 7.586E+01 N·m²/C -d) 8.345E+01 N·m²/C +e) 9.179E+01 N·m²/C

*_Rendition_* 2-18

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.2 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=4.6 m, z=z₀=1.4 m, and z=z₁=4.5 m. The surfaces in the yz plane each have area 9.0m². Those in the xy plane have area 6.4m² ,and those in the zx plane have area 6.8m². An electric field of magnitude 15 N/C has components in the y and z directions and is directed at 31° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 3.959E+01 N·m²/C -b) 4.354E+01 N·m²/C -c) 4.790E+01 N·m²/C +d) 5.269E+01 N·m²/C -e) 5.796E+01 N·m²/C

*_Rendition_* 2-19

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.8 m. The other four surfaces are rectangles in y=y₀=1.2 m, y=y₁=5.9 m, z=z₀=1.3 m, and z=z₁=5.2 m. The surfaces in the yz plane each have area 18.0m². Those in the xy plane have area 8.5m² ,and those in the zx plane have area 7.0m². An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 49° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.777E+01 N·m²/C -b) 5.254E+01 N·m²/C -c) 5.780E+01 N·m²/C +d) 6.358E+01 N·m²/C -e) 6.993E+01 N·m²/C

*_Rendition_* 2-20

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.4 m. The other four surfaces are rectangles in y=y₀=1.3 m, y=y₁=5.7 m, z=z₀=1.9 m, and z=z₁=5.4 m. The surfaces in the yz plane each have area 15.0m². Those in the xy plane have area 11.0m² ,and those in the zx plane have area 8.4m². An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 26° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 2.012E+01 N·m²/C -b) 2.213E+01 N·m²/C -c) 2.435E+01 N·m²/C -d) 2.678E+01 N·m²/C +e) 2.946E+01 N·m²/C

*_Question_* 3

*_Rendition_* 3-2

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.3 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.0 m, z=z₀=1.6 m, and z=z₁=4.8 m. The surfaces in the yz plane each have area 11.0m². Those in the xy plane have area 4.5m² ,and those in the zx plane have area 4.2m². An electric field has the xyz components (0, 6.4, 6.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 2.662E+01 N·m²/C -b) 2.929E+01 N·m²/C -c) 3.222E+01 N·m²/C -d) 3.544E+01 N·m²/C -e) 3.898E+01 N·m²/C

*_Rendition_* 3-3

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.7 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=4.3 m, z=z₀=1.8 m, and z=z₁=4.9 m. The surfaces in the yz plane each have area 8.1m². Those in the xy plane have area 7.0m² ,and those in the zx plane have area 8.4m². An electric field has the xyz components (0, 9.2, 7.1) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 6.364E+01 N·m²/C -b) 7.000E+01 N·m²/C +c) 7.700E+01 N·m²/C -d) 8.470E+01 N·m²/C -e) 9.317E+01 N·m²/C

*_Rendition_* 3-4

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.6 m. The other four surfaces are rectangles in y=y₀=1.2 m, y=y₁=5.9 m, z=z₀=1.9 m, and z=z₁=5.0 m. The surfaces in the yz plane each have area 15.0m². Those in the xy plane have area 12.0m² ,and those in the zx plane have area 8.1m². An electric field has the xyz components (0, 8.1, 6.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 6.529E+01 N·m²/C -b) 7.181E+01 N·m²/C -c) 7.900E+01 N·m²/C -d) 8.690E+01 N·m²/C -e) 9.559E+01 N·m²/C

*_Rendition_* 3-5

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.3 m. The other four surfaces are rectangles in y=y₀=1.6 m, y=y₁=5.3 m, z=z₀=1.3 m, and z=z₁=5.6 m. The surfaces in the yz plane each have area 16.0m². Those in the xy plane have area 4.8m² ,and those in the zx plane have area 5.6m². An electric field has the xyz components (0, 5.5, 9.1) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 3.074E+01 N·m²/C -b) 3.382E+01 N·m²/C -c) 3.720E+01 N·m²/C -d) 4.092E+01 N·m²/C -e) 4.501E+01 N·m²/C

*_Rendition_* 3-6

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.3 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.2 m, z=z₀=1.8 m, and z=z₁=4.4 m. The surfaces in the yz plane each have area 9.6m². Those in the xy plane have area 8.5m² ,and those in the zx plane have area 6.0m². An electric field has the xyz components (0, 8.7, 8.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.730E+01 N·m²/C +b) 5.203E+01 N·m²/C -c) 5.723E+01 N·m²/C -d) 6.295E+01 N·m²/C -e) 6.925E+01 N·m²/C

*_Rendition_* 3-7

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.8 m. The other four surfaces are rectangles in y=y₀=1.3 m, y=y₁=4.2 m, z=z₀=1.9 m, and z=z₁=5.5 m. The surfaces in the yz plane each have area 10.0m². Those in the xy plane have area 8.1m² ,and those in the zx plane have area 10.0m². An electric field has the xyz components (0, 8.5, 6.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 7.081E+01 N·m²/C -b) 7.789E+01 N·m²/C +c) 8.568E+01 N·m²/C -d) 9.425E+01 N·m²/C -e) 1.037E+02 N·m²/C

*_Rendition_* 3-8

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.8 m. The other four surfaces are rectangles in y=y₀=1.4 m, y=y₁=5.0 m, z=z₀=1.6 m, and z=z₁=5.9 m. The surfaces in the yz plane each have area 15.0m². Those in the xy plane have area 6.5m² ,and those in the zx plane have area 7.7m². An electric field has the xyz components (0, 8.0, 9.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 6.192E+01 N·m²/C -b) 6.811E+01 N·m²/C -c) 7.492E+01 N·m²/C -d) 8.242E+01 N·m²/C -e) 9.066E+01 N·m²/C

*_Rendition_* 3-9

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.2 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=5.0 m, z=z₀=1.9 m, and z=z₁=4.3 m. The surfaces in the yz plane each have area 7.9m². Those in the xy plane have area 4.0m² ,and those in the zx plane have area 2.9m². An electric field has the xyz components (0, 5.3, 9.1) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 1.388E+01 N·m²/C +b) 1.526E+01 N·m²/C -c) 1.679E+01 N·m²/C -d) 1.847E+01 N·m²/C -e) 2.032E+01 N·m²/C

*_Rendition_* 3-10

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.4 m. The other four surfaces are rectangles in y=y₀=1.3 m, y=y₁=5.6 m, z=z₀=1.7 m, and z=z₁=4.5 m. The surfaces in the yz plane each have area 12.0m². Those in the xy plane have area 6.0m² ,and those in the zx plane have area 3.9m². An electric field has the xyz components (0, 6.5, 9.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 1.740E+01 N·m²/C -b) 1.914E+01 N·m²/C -c) 2.106E+01 N·m²/C -d) 2.316E+01 N·m²/C +e) 2.548E+01 N·m²/C

*_Rendition_* 3-11

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.0 m. The other four surfaces are rectangles in y=y₀=1.4 m, y=y₁=4.7 m, z=z₀=1.2 m, and z=z₁=4.1 m. The surfaces in the yz plane each have area 9.6m². Those in the xy plane have area 6.6m² ,and those in the zx plane have area 5.8m². An electric field has the xyz components (0, 8.4, 5.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 3.328E+01 N·m²/C -b) 3.660E+01 N·m²/C -c) 4.026E+01 N·m²/C -d) 4.429E+01 N·m²/C +e) 4.872E+01 N·m²/C

*_Rendition_* 3-12

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.0 m. The other four surfaces are rectangles in y=y₀=1.8 m, y=y₁=4.2 m, z=z₀=1.3 m, and z=z₁=5.8 m. The surfaces in the yz plane each have area 11.0m². Those in the xy plane have area 4.8m² ,and those in the zx plane have area 9.0m². An electric field has the xyz components (0, 6.1, 5.6) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.125E+01 N·m²/C -b) 4.537E+01 N·m²/C -c) 4.991E+01 N·m²/C +d) 5.490E+01 N·m²/C -e) 6.039E+01 N·m²/C

*_Rendition_* 3-13

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.4 m. The other four surfaces are rectangles in y=y₀=1.1 m, y=y₁=4.8 m, z=z₀=1.8 m, and z=z₁=4.8 m. The surfaces in the yz plane each have area 11.0m². Those in the xy plane have area 8.9m² ,and those in the zx plane have area 7.2m². An electric field has the xyz components (0, 5.9, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 2.901E+01 N·m²/C -b) 3.192E+01 N·m²/C -c) 3.511E+01 N·m²/C -d) 3.862E+01 N·m²/C +e) 4.248E+01 N·m²/C

*_Rendition_* 3-14

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.6 m. The other four surfaces are rectangles in y=y₀=1.6 m, y=y₁=5.6 m, z=z₀=1.8 m, and z=z₁=4.4 m. The surfaces in the yz plane each have area 10.0m². Those in the xy plane have area 6.4m² ,and those in the zx plane have area 4.2m². An electric field has the xyz components (0, 5.5, 7.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 1.891E+01 N·m²/C -b) 2.080E+01 N·m²/C +c) 2.288E+01 N·m²/C -d) 2.517E+01 N·m²/C -e) 2.768E+01 N·m²/C

*_Rendition_* 3-15

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.1 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=4.2 m, z=z₀=1.1 m, and z=z₁=4.5 m. The surfaces in the yz plane each have area 8.5m². Those in the xy plane have area 2.8m² ,and those in the zx plane have area 3.7m². An electric field has the xyz components (0, 7.4, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 2.079E+01 N·m²/C -b) 2.287E+01 N·m²/C -c) 2.516E+01 N·m²/C +d) 2.768E+01 N·m²/C -e) 3.044E+01 N·m²/C

*_Rendition_* 3-16

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.5 m. The other four surfaces are rectangles in y=y₀=1.3 m, y=y₁=5.3 m, z=z₀=1.3 m, and z=z₁=4.3 m. The surfaces in the yz plane each have area 12.0m². Those in the xy plane have area 10.0m² ,and those in the zx plane have area 7.5m². An electric field has the xyz components (0, 9.7, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 6.614E+01 N·m²/C +b) 7.275E+01 N·m²/C -c) 8.003E+01 N·m²/C -d) 8.803E+01 N·m²/C -e) 9.683E+01 N·m²/C

*_Rendition_* 3-17

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.8 m. The other four surfaces are rectangles in y=y₀=1.1 m, y=y₁=5.6 m, z=z₀=1.8 m, and z=z₁=5.5 m. The surfaces in the yz plane each have area 17.0m². Those in the xy plane have area 13.0m² ,and those in the zx plane have area 10.0m². An electric field has the xyz components (0, 7.0, 5.7) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.953E+01 N·m²/C -b) 5.449E+01 N·m²/C -c) 5.993E+01 N·m²/C -d) 6.593E+01 N·m²/C +e) 7.252E+01 N·m²/C

*_Rendition_* 3-18

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.7 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.6 m, z=z₀=1.3 m, and z=z₁=4.2 m. The surfaces in the yz plane each have area 12.0m². Those in the xy plane have area 11.0m² ,and those in the zx plane have area 7.8m². An electric field has the xyz components (0, 8.5, 7.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 5.000E+01 N·m²/C -b) 5.500E+01 N·m²/C -c) 6.050E+01 N·m²/C +d) 6.656E+01 N·m²/C -e) 7.321E+01 N·m²/C

*_Rendition_* 3-19

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.5 m. The other four surfaces are rectangles in y=y₀=1.6 m, y=y₁=4.3 m, z=z₀=1.3 m, and z=z₁=5.1 m. The surfaces in the yz plane each have area 10.0m². Those in the xy plane have area 4.0m² ,and those in the zx plane have area 5.7m². An electric field has the xyz components (0, 5.7, 7.5) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 3.249E+01 N·m²/C -b) 3.574E+01 N·m²/C -c) 3.931E+01 N·m²/C -d) 4.324E+01 N·m²/C -e) 4.757E+01 N·m²/C

*_Rendition_* 3-20

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.8 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=4.5 m, z=z₀=1.5 m, and z=z₁=5.0 m. The surfaces in the yz plane each have area 9.8m². Those in the xy plane have area 7.8m² ,and those in the zx plane have area 9.8m². An electric field has the xyz components (0, 6.1, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

+a) 5.978E+01 N·m²/C -b) 6.576E+01 N·m²/C -c) 7.233E+01 N·m²/C -d) 7.957E+01 N·m²/C -e) 8.752E+01 N·m²/C

*_Question_* 4

*_Rendition_* 4-2

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=4, y=0), (x=0, y=6), and (x=4, y=6), where x and y are measured in meters. The electric field is,
${\vec {E}}=3y^{1.9}{\hat {i}}+3x^{1.5}{\hat {j}}+3y^{1.6}{\hat {k}}$ -a) 3.658E+02 V·m -b) 4.024E+02 V·m -c) 4.426E+02 V·m +d) 4.869E+02 V·m -e) 5.355E+02 V·m

*_Rendition_* 4-3

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=4, y=0), (x=0, y=4), and (x=4, y=4), where x and y are measured in meters. The electric field is,
${\vec {E}}=4y^{2.2}{\hat {i}}+1x^{3.0}{\hat {j}}+2y^{1.7}{\hat {k}}$ -a) 8.545E+01 V·m -b) 9.400E+01 V·m -c) 1.034E+02 V·m -d) 1.137E+02 V·m +e) 1.251E+02 V·m

*_Rendition_* 4-4

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=7), and (x=7, y=7), where x and y are measured in meters. The electric field is,
${\vec {E}}=4y^{2.3}{\hat {i}}+3x^{2.4}{\hat {j}}+2y^{1.8}{\hat {k}}$ -a) 8.731E+02 V·m -b) 9.604E+02 V·m -c) 1.056E+03 V·m +d) 1.162E+03 V·m -e) 1.278E+03 V·m

*_Rendition_* 4-5

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,
${\vec {E}}=3y^{2.7}{\hat {i}}+1x^{2.5}{\hat {j}}+3y^{3.3}{\hat {k}}$ -a) 1.128E+04 V·m -b) 1.241E+04 V·m -c) 1.365E+04 V·m +d) 1.502E+04 V·m -e) 1.652E+04 V·m

*_Rendition_* 4-6

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,
${\vec {E}}=3y^{2.9}{\hat {i}}+3x^{1.6}{\hat {j}}+4y^{2.5}{\hat {k}}$ -a) 4.286E+03 V·m -b) 4.714E+03 V·m +c) 5.186E+03 V·m -d) 5.704E+03 V·m -e) 6.275E+03 V·m

*_Rendition_* 4-7

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=8, y=0), (x=0, y=8), and (x=8, y=8), where x and y are measured in meters. The electric field is,
${\vec {E}}=1y^{2.8}{\hat {i}}+5x^{2.7}{\hat {j}}+5y^{1.6}{\hat {k}}$ +a) 3.429E+03 V·m -b) 3.771E+03 V·m -c) 4.149E+03 V·m -d) 4.564E+03 V·m -e) 5.020E+03 V·m

*_Rendition_* 4-8

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=5), and (x=7, y=5), where x and y are measured in meters. The electric field is,
${\vec {E}}=1y^{2.4}{\hat {i}}+4x^{1.7}{\hat {j}}+4y^{2.1}{\hat {k}}$ -a) 1.206E+03 V·m +b) 1.326E+03 V·m -c) 1.459E+03 V·m -d) 1.605E+03 V·m -e) 1.765E+03 V·m

*_Rendition_* 4-9

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=6), and (x=7, y=6), where x and y are measured in meters. The electric field is,
${\vec {E}}=2y^{2.5}{\hat {i}}+3x^{1.8}{\hat {j}}+2y^{2.8}{\hat {k}}$ +a) 3.337E+03 V·m -b) 3.670E+03 V·m -c) 4.037E+03 V·m -d) 4.441E+03 V·m -e) 4.885E+03 V·m

*_Rendition_* 4-10

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=9, y=0), (x=0, y=9), and (x=9, y=9), where x and y are measured in meters. The electric field is,
${\vec {E}}=3y^{2.8}{\hat {i}}+1x^{2.3}{\hat {j}}+2y^{2.9}{\hat {k}}$ -a) 2.210E+04 V·m +b) 2.431E+04 V·m -c) 2.674E+04 V·m -d) 2.941E+04 V·m -e) 3.235E+04 V·m

*_Rendition_* 4-11

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=4), and (x=7, y=4), where x and y are measured in meters. The electric field is,
${\vec {E}}=2y^{2.2}{\hat {i}}+3x^{2.1}{\hat {j}}+5y^{3.3}{\hat {k}}$ -a) 2.610E+03 V·m -b) 2.871E+03 V·m +c) 3.158E+03 V·m -d) 3.474E+03 V·m -e) 3.822E+03 V·m

*_Rendition_* 4-12

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,
${\vec {E}}=2y^{2.8}{\hat {i}}+3x^{2.8}{\hat {j}}+2y^{2.4}{\hat {k}}$ -a) 1.997E+03 V·m +b) 2.197E+03 V·m -c) 2.417E+03 V·m -d) 2.659E+03 V·m -e) 2.924E+03 V·m

*_Rendition_* 4-13

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=8, y=0), (x=0, y=6), and (x=8, y=6), where x and y are measured in meters. The electric field is,
${\vec {E}}=4y^{1.4}{\hat {i}}+2x^{2.3}{\hat {j}}+4y^{2.3}{\hat {k}}$ -a) 2.694E+03 V·m -b) 2.963E+03 V·m -c) 3.259E+03 V·m +d) 3.585E+03 V·m -e) 3.944E+03 V·m

*_Rendition_* 4-14

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=5), and (x=6, y=5), where x and y are measured in meters. The electric field is,
${\vec {E}}=3y^{1.7}{\hat {i}}+3x^{1.6}{\hat {j}}+4y^{2.7}{\hat {k}}$ -a) 2.067E+03 V·m -b) 2.274E+03 V·m +c) 2.501E+03 V·m -d) 2.752E+03 V·m -e) 3.027E+03 V·m

*_Rendition_* 4-15

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=6), and (x=6, y=6), where x and y are measured in meters. The electric field is,
${\vec {E}}=2y^{1.8}{\hat {i}}+3x^{1.9}{\hat {j}}+5y^{3.2}{\hat {k}}$ -a) 9.952E+03 V·m -b) 1.095E+04 V·m -c) 1.204E+04 V·m +d) 1.325E+04 V·m -e) 1.457E+04 V·m

*_Rendition_* 4-16

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=6), and (x=6, y=6), where x and y are measured in meters. The electric field is,
${\vec {E}}=4y^{2.0}{\hat {i}}+3x^{2.0}{\hat {j}}+3y^{3.0}{\hat {k}}$ -a) 4.820E+03 V·m -b) 5.302E+03 V·m +c) 5.832E+03 V·m -d) 6.415E+03 V·m -e) 7.057E+03 V·m

*_Rendition_* 4-17

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=3), and (x=6, y=3), where x and y are measured in meters. The electric field is,
${\vec {E}}=1y^{1.6}{\hat {i}}+3x^{2.6}{\hat {j}}+2y^{3.2}{\hat {k}}$ -a) 1.969E+02 V·m -b) 2.166E+02 V·m -c) 2.383E+02 V·m -d) 2.621E+02 V·m +e) 2.883E+02 V·m

*_Rendition_* 4-18

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=4, y=0), (x=0, y=3), and (x=4, y=3), where x and y are measured in meters. The electric field is,
${\vec {E}}=2y^{2.7}{\hat {i}}+2x^{2.9}{\hat {j}}+2y^{2.0}{\hat {k}}$ +a) 7.200E+01 V·m -b) 7.920E+01 V·m -c) 8.712E+01 V·m -d) 9.583E+01 V·m -e) 1.054E+02 V·m

*_Rendition_* 4-19

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=4, y=0), (x=0, y=9), and (x=4, y=9), where x and y are measured in meters. The electric field is,
${\vec {E}}=1y^{2.2}{\hat {i}}+1x^{3.3}{\hat {j}}+5y^{2.4}{\hat {k}}$ -a) 7.054E+03 V·m -b) 7.759E+03 V·m -c) 8.535E+03 V·m -d) 9.388E+03 V·m +e) 1.033E+04 V·m

*_Rendition_* 4-20

What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=8, y=0), (x=0, y=8), and (x=8, y=8), where x and y are measured in meters. The electric field is,
${\vec {E}}=2y^{2.0}{\hat {i}}+2x^{2.1}{\hat {j}}+3y^{2.5}{\hat {k}}$ -a) 9.027E+03 V·m +b) 9.930E+03 V·m -c) 1.092E+04 V·m -d) 1.202E+04 V·m -e) 1.322E+04 V·m

*_Question_* 5

*_Rendition_* 5-2

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 2.8 nano-Coulombs. What is the magnitude of the electric field at a distance of 3.5 m from the center of the shells? +a) 6.171E+00 N/C -b) 6.789E+00 N/C -c) 7.467E+00 N/C -d) 8.214E+00 N/C -e) 9.036E+00 N/C

*_Rendition_* 5-3

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 5.6 nano-Coulombs. What is the magnitude of the electric field at a distance of 3.6 m from the center of the shells? -a) 9.642E+00 N/C -b) 1.061E+01 N/C +c) 1.167E+01 N/C -d) 1.283E+01 N/C -e) 1.412E+01 N/C

*_Rendition_* 5-4

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.6 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.8 m from the center of the shells? +a) 1.017E+01 N/C -b) 1.118E+01 N/C -c) 1.230E+01 N/C -d) 1.353E+01 N/C -e) 1.488E+01 N/C

*_Rendition_* 5-5

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 3.4 nano-Coulombs. What is the magnitude of the electric field at a distance of 2.8 m from the center of the shells? -a) 5.865E+00 N/C -b) 6.451E+00 N/C -c) 7.096E+00 N/C +d) 7.806E+00 N/C -e) 8.587E+00 N/C

*_Rendition_* 5-6

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.4 m from the center of the shells? -a) 1.491E+01 N/C -b) 1.640E+01 N/C +c) 1.804E+01 N/C -d) 1.984E+01 N/C -e) 2.182E+01 N/C

*_Rendition_* 5-7

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 6.5 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.3 m from the center of the shells? -a) 2.601E+01 N/C -b) 2.861E+01 N/C -c) 3.147E+01 N/C +d) 3.462E+01 N/C -e) 3.808E+01 N/C

*_Rendition_* 5-8

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 2.8 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.8 m from the center of the shells? -a) 2.988E+00 N/C -b) 3.287E+00 N/C -c) 3.616E+00 N/C -d) 3.977E+00 N/C +e) 4.375E+00 N/C

*_Rendition_* 5-9

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.8 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.3 m from the center of the shells? -a) 2.837E+01 N/C -b) 3.121E+01 N/C -c) 3.433E+01 N/C -d) 3.776E+01 N/C +e) 4.154E+01 N/C

*_Rendition_* 5-10

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 5.6 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.6 m from the center of the shells? -a) 6.641E+00 N/C -b) 7.305E+00 N/C +c) 8.036E+00 N/C -d) 8.839E+00 N/C -e) 9.723E+00 N/C

*_Rendition_* 5-11

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.4 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.4 m from the center of the shells? -a) 8.580E+00 N/C -b) 9.438E+00 N/C -c) 1.038E+01 N/C +d) 1.142E+01 N/C -e) 1.256E+01 N/C

*_Rendition_* 5-12

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 3.4 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.5 m from the center of the shells? +a) 5.058E+00 N/C -b) 5.564E+00 N/C -c) 6.120E+00 N/C -d) 6.732E+00 N/C -e) 7.405E+00 N/C

*_Rendition_* 5-13

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 1.2 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.8 m from the center of the shells? -a) 1.096E+00 N/C -b) 1.206E+00 N/C -c) 1.327E+00 N/C -d) 1.459E+00 N/C +e) 1.605E+00 N/C

*_Rendition_* 5-14

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 2.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 3.7 m from the center of the shells? -a) 2.964E+00 N/C -b) 3.260E+00 N/C -c) 3.586E+00 N/C +d) 3.944E+00 N/C -e) 4.339E+00 N/C

*_Rendition_* 5-15

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 6.4 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.1 m from the center of the shells? -a) 3.251E+01 N/C -b) 3.577E+01 N/C -c) 3.934E+01 N/C -d) 4.328E+01 N/C +e) 4.760E+01 N/C

*_Rendition_* 5-16

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.2 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.6 m from the center of the shells? -a) 1.114E+01 N/C +b) 1.225E+01 N/C -c) 1.347E+01 N/C -d) 1.482E+01 N/C -e) 1.630E+01 N/C

*_Rendition_* 5-17

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 4.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.2 m from the center of the shells? +a) 9.592E+00 N/C -b) 1.055E+01 N/C -c) 1.161E+01 N/C -d) 1.277E+01 N/C -e) 1.404E+01 N/C

*_Rendition_* 5-18

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 1.9 nano-Coulombs. What is the magnitude of the electric field at a distance of 2.1 m from the center of the shells? -a) 5.297E+00 N/C -b) 5.827E+00 N/C -c) 6.409E+00 N/C -d) 7.050E+00 N/C +e) 7.755E+00 N/C

*_Rendition_* 5-19

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.5 m from the center of the shells? -a) 9.144E+00 N/C -b) 1.006E+01 N/C -c) 1.106E+01 N/C -d) 1.217E+01 N/C +e) 1.339E+01 N/C

*_Rendition_* 5-20

Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.3 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.5 m from the center of the shells? -a) 1.994E+01 N/C -b) 2.194E+01 N/C -c) 2.413E+01 N/C -d) 2.655E+01 N/C +e) 2.920E+01 N/C

*_Question_* 6

*_Rendition_* 6-2

A non-conducting sphere of radius R=1.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.6 (r≤R) where a=3 nC·m^-1.4. What is the magnitude of the electric field at a distance of 1.4 m from the center? -a) 1.327E+02 N/C -b) 1.460E+02 N/C -c) 1.606E+02 N/C +d) 1.767E+02 N/C -e) 1.943E+02 N/C

*_Rendition_* 6-3

A non-conducting sphere of radius R=2.2 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.4 (r≤R) where a=3 nC·m^-1.6. What is the magnitude of the electric field at a distance of 0.86 m from the center? -a) 4.874E+01 N/C +b) 5.362E+01 N/C -c) 5.898E+01 N/C -d) 6.488E+01 N/C -e) 7.137E+01 N/C

*_Rendition_* 6-4

A non-conducting sphere of radius R=3.5 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.5 (r≤R) where a=2 nC·m^-1.5. What is the magnitude of the electric field at a distance of 2.2 m from the center? +a) 3.604E+02 N/C -b) 3.964E+02 N/C -c) 4.360E+02 N/C -d) 4.796E+02 N/C -e) 5.276E+02 N/C

*_Rendition_* 6-5

A non-conducting sphere of radius R=3.5 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.2 (r≤R) where a=2 nC·m^-1.8. What is the magnitude of the electric field at a distance of 2.3 m from the center? -a) 2.777E+02 N/C -b) 3.055E+02 N/C +c) 3.361E+02 N/C -d) 3.697E+02 N/C -e) 4.066E+02 N/C

*_Rendition_* 6-6

A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.5 (r≤R) where a=2 nC·m^-1.5. What is the magnitude of the electric field at a distance of 1.5 m from the center? +a) 1.383E+02 N/C -b) 1.522E+02 N/C -c) 1.674E+02 N/C -d) 1.841E+02 N/C -e) 2.025E+02 N/C

*_Rendition_* 6-7

A non-conducting sphere of radius R=3.8 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.5 (r≤R) where a=2 nC·m^-1.5. What is the magnitude of the electric field at a distance of 3.0 m from the center? +a) 7.825E+02 N/C -b) 8.607E+02 N/C -c) 9.468E+02 N/C -d) 1.041E+03 N/C -e) 1.146E+03 N/C

*_Rendition_* 6-8

A non-conducting sphere of radius R=3.3 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.4 (r≤R) where a=2 nC·m^-1.6. What is the magnitude of the electric field at a distance of 1.5 m from the center? -a) 1.123E+02 N/C -b) 1.235E+02 N/C +c) 1.358E+02 N/C -d) 1.494E+02 N/C -e) 1.644E+02 N/C

*_Rendition_* 6-9

A non-conducting sphere of radius R=3.1 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.2 (r≤R) where a=2 nC·m^-1.8. What is the magnitude of the electric field at a distance of 2.7 m from the center? +a) 4.782E+02 N/C -b) 5.260E+02 N/C -c) 5.787E+02 N/C -d) 6.365E+02 N/C -e) 7.002E+02 N/C

*_Rendition_* 6-10

A non-conducting sphere of radius R=1.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.2 (r≤R) where a=3 nC·m^-1.8. What is the magnitude of the electric field at a distance of 0.71 m from the center? +a) 3.797E+01 N/C -b) 4.177E+01 N/C -c) 4.595E+01 N/C -d) 5.054E+01 N/C -e) 5.560E+01 N/C

*_Rendition_* 6-11

A non-conducting sphere of radius R=1.4 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.6 (r≤R) where a=3 nC·m^-1.4. What is the magnitude of the electric field at a distance of 1.3 m from the center? +a) 1.457E+02 N/C -b) 1.603E+02 N/C -c) 1.763E+02 N/C -d) 1.939E+02 N/C -e) 2.133E+02 N/C

*_Rendition_* 6-12

A non-conducting sphere of radius R=3.9 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.4 (r≤R) where a=2 nC·m^-1.6. What is the magnitude of the electric field at a distance of 2.6 m from the center? -a) 3.821E+02 N/C -b) 4.203E+02 N/C -c) 4.624E+02 N/C +d) 5.086E+02 N/C -e) 5.594E+02 N/C

*_Rendition_* 6-13

A non-conducting sphere of radius R=1.5 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.5 (r≤R) where a=2 nC·m^-1.5. What is the magnitude of the electric field at a distance of 0.73 m from the center? +a) 2.285E+01 N/C -b) 2.514E+01 N/C -c) 2.765E+01 N/C -d) 3.042E+01 N/C -e) 3.346E+01 N/C

*_Rendition_* 6-14

A non-conducting sphere of radius R=3.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.4 (r≤R) where a=2 nC·m^-1.6. What is the magnitude of the electric field at a distance of 3.1 m from the center? -a) 6.411E+02 N/C -b) 7.052E+02 N/C +c) 7.757E+02 N/C -d) 8.533E+02 N/C -e) 9.386E+02 N/C

*_Rendition_* 6-15

A non-conducting sphere of radius R=3.8 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.7 (r≤R) where a=3 nC·m^-1.3. What is the magnitude of the electric field at a distance of 3.1 m from the center? -a) 1.390E+03 N/C +b) 1.530E+03 N/C -c) 1.682E+03 N/C -d) 1.851E+03 N/C -e) 2.036E+03 N/C

*_Rendition_* 6-16

A non-conducting sphere of radius R=1.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.5 (r≤R) where a=3 nC·m^-1.5. What is the magnitude of the electric field at a distance of 0.64 m from the center? -a) 2.039E+01 N/C -b) 2.243E+01 N/C +c) 2.467E+01 N/C -d) 2.714E+01 N/C -e) 2.985E+01 N/C

*_Rendition_* 6-17

A non-conducting sphere of radius R=1.2 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.6 (r≤R) where a=2 nC·m^-1.4. What is the magnitude of the electric field at a distance of 0.76 m from the center? +a) 2.406E+01 N/C -b) 2.646E+01 N/C -c) 2.911E+01 N/C -d) 3.202E+01 N/C -e) 3.522E+01 N/C

*_Rendition_* 6-18

A non-conducting sphere of radius R=2.5 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.8 (r≤R) where a=2 nC·m^-1.2. What is the magnitude of the electric field at a distance of 1.7 m from the center? +a) 2.079E+02 N/C -b) 2.287E+02 N/C -c) 2.516E+02 N/C -d) 2.767E+02 N/C -e) 3.044E+02 N/C

*_Rendition_* 6-19

A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.5 (r≤R) where a=3 nC·m^-1.5. What is the magnitude of the electric field at a distance of 1.7 m from the center? -a) 2.579E+02 N/C +b) 2.837E+02 N/C -c) 3.121E+02 N/C -d) 3.433E+02 N/C -e) 3.776E+02 N/C

*_Rendition_* 6-20

A non-conducting sphere of radius R=3.0 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.2 (r≤R) where a=2 nC·m^-1.8. What is the magnitude of the electric field at a distance of 2.1 m from the center? -a) 2.274E+02 N/C -b) 2.501E+02 N/C +c) 2.751E+02 N/C -d) 3.026E+02 N/C -e) 3.329E+02 N/C

*_Instructions_*

Instructions are forthcoming

Transclusion from Quizbank/Instructions_0:
Quizbank/Instructions 0