Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 23, Problem 91P
To determine
The proof that the total work needed to assemble a uniformly charged sphere having total charge
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An external electric field is given by
E =
where A is a positive constant, r is the radial coordinate in the two dimensional
polar coordinates, and i is the unit vector in the radial direction. Find work
done by an external force on a point charge of q moving from point a to point
b along the path as shown in the figure. The path consists of a quarter cirele of
radius R and a straight line of length 2R.
3R
R
a
Select one:
O Ag
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3R
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O Ag
Compute for the work done, in millijoules, in moving a 9-nC charge radially away from the center from a distance of 3 m to a distance of 7 m against the electric field inside a solid insulating sphere of radius 11 m and total charge 7 mC.Ans: -8.5199Determine the total potential energy, in microjoules, stored in a parallelepiped of dimensions are 9 m by 6 m by 8 m if the electric field inside is given as E = 17 ar + 19 aθ + 15 aϕ V/m. Use the permittivity of free space as 8.854 × 10-12 F/m.Ans: 1.6734If the electric field in the region is given as E = -cos(θ) sin( 4 Φ) aθ + b cos( 4 Φ) aφ V/m. Determine the potential at point A(4 m, 0.46 rad, 2.07 m), in volts, if the potential at point B(4 m, 1.00 rad, 0.10 m) is 60 volts. The value of b is also the coefficient of Φ.58.4552
Compute for the potential difference, in volts, in moving a charge from A(3, 2, -2) m to B(7, -6, 6) m against the electric field due to a disk charge of radius 9 m on the plane x = 0. The disk has a total charge…
What is the expression for work done on a particle of charge q displaced by a distance d at an angle A with a uniform electric field of sthrength E?
Chapter 23 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 23 - Prob. 1PCh. 23 - Prob. 2PCh. 23 - Prob. 3PCh. 23 - Prob. 4PCh. 23 - Prob. 5PCh. 23 - Prob. 6PCh. 23 - Prob. 7PCh. 23 - Prob. 8PCh. 23 - Prob. 9PCh. 23 - Prob. 10P
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- Charge is distributed along the entire x-axis uniform density . How much work does the electric field of this charge distribution do on an electron that moves along the y-axis from y=a to y=b ?arrow_forwardP The iven fgure shows 3 metalshels placed conceatrically. B s carthed. IFAand C are given charges @ and Q. then find the cnerey stored in thesystem, ® ® Hw © e oarrow_forwardBevw I Conarta In this problem you must first caloulate the potential V at z +L dus to the charged rod. You can then fnd the change in potential energy involved in bringing the point change trom infinity (where V-0) to +L. Positive olectric charge Qis distributed uniformly along a thin rod of length 2a. The rod lies along the z-axis between a -a and a ta Eigure 1). Calculate how much work you must do to bring a positive point chargeg from infinity to the point a+L on the a-axis, where L>a Part A To find V. divide the rod into infinitesimal segments of length de Consider one such segment located at zz. where -asz Sa. What is the potential dV at z+L due to this segment? Express your answer in terms of some or all of the variables Q. a. L, da, . electric constant e, and r, Figure 1 oft > View Available Hint(a) show is side. 78.06707 dV- at wha0 b finliity Submit Previous Anawers round X Incorrect; Try Again; 3 attempts remaining douapadiaarrow_forward
- a а that used for of 4 charges find the work the arrange nent -12 as shown in the picture when given = 2.90 * 10 C and and start each charge af infrnity a 64 cmarrow_forwardAnswer All.Compute for the work done, in millijoules, in moving a 9-nC charge radially away from the center from a distance of 3 m to a distance of 7 m against the electric field inside a solid insulating sphere of radius 11 m and total charge 7 mC.Ans: -8.5199Determine the total potential energy, in microjoules, stored in a parallelepiped of dimensions are 9 m by 6 m by 8 m if the electric field inside is given as E = 17 ar + 19 aθ + 15 aϕ V/m. Use the permittivity of free space as 8.854 × 10-12 F/m.Ans: 1.6734If the electric field in the region is given as E = -cos(θ) sin( 4 Φ) aθ + b cos( 4 Φ) aφ V/m. Determine the potential at point A(4 m, 0.46 rad, 2.07 m), in volts, if the potential at point B(4 m, 1.00 rad, 0.10 m) is 60 volts. The value of b is also the coefficient of Φ.58.4552 Compute for the potential difference, in volts, in moving a charge from A(3, 2, -2) m to B(7, -6, 6) m against the electric field due to a disk charge of radius 9 m on the plane x = 0. The disk has a…arrow_forwardAn external electric field is given by where A is a positive constant, r is the radial coordinate in the two dimensional polar coordinates, and f is the unit vector in the radial direction. Find work done by an external force on a point charge of q moving from point a to point b along the path as shown in the figure. The path consists of a quarter circle of radius R and a straight line of length 2R. 3R R a Select one: O 2Aq 3R O Aq O Aq 3R 2Aq 3R Aq 3Rarrow_forward
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