3. A 40.0-cm-diameter circular loop is rotated in a uni- M form electric field until the position of maximum elec- tric flux is found. The flux in this position is measured to be 5.20 x 10N m2/C. What is the magnitude of the electric field? 4. Consider a closed triangular box resting within a hori- W zontal electric field of magnitude E= 7.80 x 10' N/C as shown in Figure P24.4. Calculate the electric flux through (a) the vertical rectangular surface, (b) the slanted surface, and (c) the entire surface of the box. 30.0 cm 60.0 10,0 cm Figure P24.4

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W exists above the Earth's surface on a day when a thun-
derstorm is brewing. A car with a rectangular size of
6.00 m by 3.00 m is traveling along a dry gravel road-
way sloping downward at 10.0°. Determine the electric
flux through the bottom of the car.
Section 24.2 Gauss's L
7. An uncharged,
radius 10.0 cm s
at the origin of a
3. A 40.0-cm-diameter circular loop is rotated in a uni-
M form electric field until the position of maximum elec-
tric flux is found. The flux in this position is measured
to be 5.20 x 10 N m2/C. What is the magnitude of
with a radius of
and a hole is drill
tric flux through
8. Find the net elect
surface shown in !
the electric field?
right are inside th
4. Consider a closed triangular box resting within a hori-
W zontal electric field of magnitude E = 7.80 x 104 N/C
as shown in Figure P24.4. Calculate the electric flux
through (a) the vertical rectangular surface, (b) the
slanted surface, and
the entire surface of the box.
+2.00 n
30.0 сm
9. The following cha
М 5.00 дС, -9.00 р
culate the net el
10.0 cm
submarine. (b) I:
leaving the subm
than the number
Figure P24.4
5. An electric field of magnitude 3.50 kN/C is applied
M along the x axis. Calculate the electric flux through
a rectangular plane 0.350 m wide and 0.700 m long
(a) if the plane is parallel to the yz plane, (b) if the
plane is parallel to the xy plane, and (c) if the plane
contains the y axis and its normal makes an angle of
40.0° with the xaxis.
10. The electric fiel-
W thin, spherical sh-
890 N/C and poi
sphere. (a) What
surface? (b) Wha
inside the spheric
11. Four closed surfaces, S
W through S4, together with
the charges -2Q. Q, and
-Qare
P24.11. (The colored lines
tered at
both case
18. Find the
sketched in Figure
cal surfac
P24.18a a
are the intersections of the
surfaces with the page.)
Find the electric flux
Figure P:
charges,i
through each surface.
12. A charge of 170 µC is at the
center of a cube of edge
80.0 cm. No other charges
are nearby. (a) Find the
flux through cach face of the cube. (b) Find the flux
through the whole surface of the cube. (c) What If?
Would your answers to either part (a) or part (b) change
if the charge were not at the center? Explain.
Figure P24.11
13. In the air over a particular region at an altitude of
500 m above the ground, the electric field is 120 N/C
directed downward. At 600 m above the ground, the
clectric field is 100 N/C downward. What is the average
volume charge density in the layer of air between these
two elevations? Is it positive or negative?
19. A particl-
Q = 5.00
at the cen
of edge L
addition,
14. A particle with charge of 12.0 µC is placed at the cen-
ter of a spherical shell of radius 22.0 cm. What is the
total electric flux through (a) the surface of the shell
and (b) any hemispherical surface of the shell? (c) Do
the results depend on the radius? Explain.
tical cha
having q
are pos
metricall-
shown in
Determir
15. (a) Find the net electric
flux through the cube
Transcribed Image Text:W exists above the Earth's surface on a day when a thun- derstorm is brewing. A car with a rectangular size of 6.00 m by 3.00 m is traveling along a dry gravel road- way sloping downward at 10.0°. Determine the electric flux through the bottom of the car. Section 24.2 Gauss's L 7. An uncharged, radius 10.0 cm s at the origin of a 3. A 40.0-cm-diameter circular loop is rotated in a uni- M form electric field until the position of maximum elec- tric flux is found. The flux in this position is measured to be 5.20 x 10 N m2/C. What is the magnitude of with a radius of and a hole is drill tric flux through 8. Find the net elect surface shown in ! the electric field? right are inside th 4. Consider a closed triangular box resting within a hori- W zontal electric field of magnitude E = 7.80 x 104 N/C as shown in Figure P24.4. Calculate the electric flux through (a) the vertical rectangular surface, (b) the slanted surface, and the entire surface of the box. +2.00 n 30.0 сm 9. The following cha М 5.00 дС, -9.00 р culate the net el 10.0 cm submarine. (b) I: leaving the subm than the number Figure P24.4 5. An electric field of magnitude 3.50 kN/C is applied M along the x axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long (a) if the plane is parallel to the yz plane, (b) if the plane is parallel to the xy plane, and (c) if the plane contains the y axis and its normal makes an angle of 40.0° with the xaxis. 10. The electric fiel- W thin, spherical sh- 890 N/C and poi sphere. (a) What surface? (b) Wha inside the spheric 11. Four closed surfaces, S W through S4, together with the charges -2Q. Q, and -Qare P24.11. (The colored lines tered at both case 18. Find the sketched in Figure cal surfac P24.18a a are the intersections of the surfaces with the page.) Find the electric flux Figure P: charges,i through each surface. 12. A charge of 170 µC is at the center of a cube of edge 80.0 cm. No other charges are nearby. (a) Find the flux through cach face of the cube. (b) Find the flux through the whole surface of the cube. (c) What If? Would your answers to either part (a) or part (b) change if the charge were not at the center? Explain. Figure P24.11 13. In the air over a particular region at an altitude of 500 m above the ground, the electric field is 120 N/C directed downward. At 600 m above the ground, the clectric field is 100 N/C downward. What is the average volume charge density in the layer of air between these two elevations? Is it positive or negative? 19. A particl- Q = 5.00 at the cen of edge L addition, 14. A particle with charge of 12.0 µC is placed at the cen- ter of a spherical shell of radius 22.0 cm. What is the total electric flux through (a) the surface of the shell and (b) any hemispherical surface of the shell? (c) Do the results depend on the radius? Explain. tical cha having q are pos metricall- shown in Determir 15. (a) Find the net electric flux through the cube
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