W exists above the Earth's surface on a day when a thun-derstorm is brewing. A car with a rectangular size of6.00 m by 3.00 m is traveling along a dry gravel road-way sloping downward at 10.0°. Determine the electricflux through the bottom of the car.Section 24.2 Gauss's L7. An uncharged,radius 10.0 cm sat the origin of a3. 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 measuredto be 5.20 x 10 N m2/C. What is the magnitude ofwith a radius ofand a hole is drilltric flux through8. Find the net electsurface shown in !the electric field?right are inside th4. Consider a closed triangular box resting within a hori-W zontal electric field of magnitude E = 7.80 x 104 N/Cas shown in Figure P24.4. Calculate the electric fluxthrough (a) the vertical rectangular surface, (b) theslanted surface, andthe entire surface of the box.+2.00 n30.0 сm9. The following chaМ 5.00 дС, -9.00 рculate the net el10.0 cmsubmarine. (b) I:leaving the submthan the numberFigure P24.45. An electric field of magnitude 3.50 kN/C is appliedM along the x axis. Calculate the electric flux througha rectangular plane 0.350 m wide and 0.700 m long(a) if the plane is parallel to the yz plane, (b) if theplane is parallel to the xy plane, and (c) if the planecontains the y axis and its normal makes an angle of40.0° with the xaxis.10. The electric fiel-W thin, spherical sh-890 N/C and poisphere. (a) Whatsurface? (b) Whainside the spheric11. Four closed surfaces, SW through S4, together withthe charges -2Q. Q, and-QareP24.11. (The colored linestered atboth case18. Find thesketched in Figurecal surfacP24.18a aare the intersections of thesurfaces with the page.)Find the electric fluxFigure P:charges,ithrough each surface.12. A charge of 170 µC is at thecenter of a cube of edge80.0 cm. No other chargesare nearby. (a) Find theflux through cach face of the cube. (b) Find the fluxthrough the whole surface of the cube. (c) What If?Would your answers to either part (a) or part (b) changeif the charge were not at the center? Explain.Figure P24.1113. In the air over a particular region at an altitude of500 m above the ground, the electric field is 120 N/Cdirected downward. At 600 m above the ground, theclectric field is 100 N/C downward. What is the averagevolume charge density in the layer of air between thesetwo elevations? Is it positive or negative?19. A particl-Q = 5.00at the cenof edge Laddition,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 thetotal electric flux through (a) the surface of the shelland (b) any hemispherical surface of the shell? (c) Dothe results depend on the radius? Explain.tical chahaving qare posmetricall-shown inDetermir15. (a) Find the net electricflux through the cube

Electric flux=∮E.→dA→Where E is electric field and A is area vector

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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

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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