Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For Physics For Scientists & Engineers With Modern Physics (5th Edition)
5th Edition
ISBN: 9780134402628
Author: Douglas C. Giancoli
Publisher: PEARSON
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Problem 6: Five point charges are located on the y-axis. Two are positive with charge q =
0.31 mC and three are negative with charge q = -0.31 mC. The positive charges are a = 4.5 m away
from the origin, one on each side of it. Two of the negative charges are 2a away from the origin, one
on each side of it. A negative charge sits at the origin. A positive point charge with charge Q = 8 mC
is positioned on the positive x-axis b = 5 m away from the origin. Refer to the figure.
\у-ахis
A Calculate the x-component of the net force, in newtons, acting on the charge at P.
X-ахis
Fx =
b
A very long uniform line of charge has charge per unit
length ₁ = 4.90 μC/m and lies along the x-axis. A
second long uniform line of charge has charge per unit
length X2 = -2.32 μC/m and is parallel to the x-axis at
y₁ = 0.400 m.
You may want to review (Page).
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Field of a uniform line charge.
Problem 12: A uniformly charged rod of length L = 1.4 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 8.2 μC. A point P is located on the x-axis a distance a = 1.8 m to the right of the origin.
Part (a) Consider a thin slice of the rod of thickness dx located a distance x away from the origin. What is the direction of the electric field at point P due to the charge on this thin slice of the rod?
Part (b) Write an equation for the electric field dE at point P due to the thin slide of the rod dx. Give your answers in terms of the variables Q, L, x, a, dx, and the Coulomb constant, k. Notice that the coordinate x will be less than zero over the length of the rod.
Part (c) Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P.
Part (d) Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged…
Chapter 21 Solutions
Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For Physics For Scientists & Engineers With Modern Physics (5th Edition)
Ch. 21.5 - Return to the Chapter-Opening Question, page 559,...Ch. 21.5 - Prob. 1BECh. 21.5 - Determine the magnitude and direction of the net...Ch. 21.5 - (a) Consider two point charges of the same...Ch. 21.6 - Four charges of equal magnitude, but possibly...Ch. 21 - If you charge a pocket comb by rubbing it with a...Ch. 21 - Why does a shirt or blouse taken from a clothes...Ch. 21 - Explain why fog or rain droplets tend to form...Ch. 21 - A positively charged rod is brought close to a...Ch. 21 - Why does a plastic ruler that has been rubbed with...
Ch. 21 - Contrast the net charge on a conductor to the free...Ch. 21 - Figures 217 and 218 show how a charged rod placed...Ch. 21 - When an electroscope is charged, the two leaves...Ch. 21 - Prob. 9QCh. 21 - Prob. 10QCh. 21 - The form of Coulombs law is very similar to that...Ch. 21 - We are not normally aware of the gravitational or...Ch. 21 - What experimental observations mentioned in the...Ch. 21 - When a charged ruler attracts small pieces of...Ch. 21 - Explain why the test charges we use when measuring...Ch. 21 - When determining an electric field, must we use a...Ch. 21 - Draw the electric field lines surrounding two...Ch. 21 - Assume that the two opposite charges in Fig. 2134a...Ch. 21 - Consider the electric field at the three points...Ch. 21 - Why can electric field lines never cross?Ch. 21 - Prob. 21QCh. 21 - Given two point charges, Q and 2Q, a distance ...Ch. 21 - Suppose the ring of Fig. 2128 has a uniformly...Ch. 21 - Consider a small positive test charge located on...Ch. 21 - We wish to determine the electric field at a point...Ch. 21 - In what ways does the electron motion in Example...Ch. 21 - Explain why there can be a net force on an...Ch. 21 - Describe the motion of the dipole shown in Fig....Ch. 21 - Prob. 1MCQCh. 21 - Prob. 2MCQCh. 21 - Prob. 3MCQCh. 21 - Prob. 4MCQCh. 21 - Prob. 5MCQCh. 21 - Prob. 6MCQCh. 21 - Prob. 7MCQCh. 21 - Prob. 8MCQCh. 21 - Prob. 9MCQCh. 21 - Prob. 10MCQCh. 21 - Prob. 11MCQCh. 21 - Prob. 12MCQCh. 21 - (I) What is the magnitude of the electric force of...Ch. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Prob. 4PCh. 21 - Prob. 5PCh. 21 - Prob. 6PCh. 21 - Prob. 7PCh. 21 - Prob. 8PCh. 21 - Prob. 9PCh. 21 - (II) Compare the electric force holding the...Ch. 21 - (II) Two positive point charges are a fixed...Ch. 21 - Prob. 12PCh. 21 - Prob. 13PCh. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - (II) Two negative and two positive point charges...Ch. 21 - Prob. 17PCh. 21 - Prob. 18PCh. 21 - Prob. 19PCh. 21 - Prob. 20PCh. 21 - (III) Two positive charges +Q are affixed rigidly...Ch. 21 - Prob. 22PCh. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - Prob. 25PCh. 21 - Prob. 26PCh. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - (II) A long uniformly charged thread (linear...Ch. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - (II) Determine the direction and magnitude of the...Ch. 21 - Prob. 35PCh. 21 - (II) A very thin line of charge lies along the x...Ch. 21 - (II) (a) Determine the electric field E at the...Ch. 21 - (II) Draw, approximately, the electric field lines...Ch. 21 - (II) Two parallel circular rings of radius R have...Ch. 21 - (II) You are given two unknown point charges, Q1...Ch. 21 - Prob. 41PCh. 21 - (II) (a) Two equal charges Q are positioned at...Ch. 21 - (II) At what position, x = xM, is the magnitude of...Ch. 21 - (II) The uniformly charged straight wire in...Ch. 21 - (II) Determine the direction and magnitude of the...Ch. 21 - (II) Use your result from Problem 46 to find the...Ch. 21 - (II) A thin rod bent into the shape of an arc of a...Ch. 21 - (III) Suppose a uniformly charged wire starts at...Ch. 21 - Prob. 50PCh. 21 - (III) A thin rod of length carries a total charge...Ch. 21 - (III) Uniform plane of charge. Charge is...Ch. 21 - Prob. 53PCh. 21 - Prob. 54PCh. 21 - Prob. 55PCh. 21 - Prob. 56PCh. 21 - Prob. 57PCh. 21 - (II) A positive charge q is placed at the center...Ch. 21 - (II) A dipole consists of charges +e and e...Ch. 21 - (II) The HCl molecule has a dipole moment of about...Ch. 21 - (II) An electric dipole, of dipole moment p and...Ch. 21 - (II) Suppose both charges in Fig. 2145 (for a...Ch. 21 - (III) Suppose a dipole p is placed in a nonuniform...Ch. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - How close must two electrons be if the electric...Ch. 21 - Prob. 67GPCh. 21 - A water droplet of radius 0.018 mm remains...Ch. 21 - Estimate the net force between the CO group and...Ch. 21 - Suppose that electrical attraction, rather than...Ch. 21 - In a simple model of the hydrogen atom, the...Ch. 21 - A positive point charge Q1 = 2.5 105 C is fixed...Ch. 21 - When clothes are removed from a dryer, a 40-g sock...Ch. 21 - Dry air will break down and generate a spark if...Ch. 21 - Prob. 76GPCh. 21 - Packing material made of pieces of foamed...Ch. 21 - One type of electric quadrupole consists of two...Ch. 21 - Suppose electrons enter a uniform electric field...Ch. 21 - Prob. 80GPCh. 21 - Three very large square planes of charge are...Ch. 21 - Prob. 82GPCh. 21 - Prob. 83GPCh. 21 - Prob. 84GPCh. 21 - Prob. 85GPCh. 21 - A one-dimensional row of positive ions, each with...Ch. 21 - Prob. 87GPCh. 21 - Prob. 88GPCh. 21 - Prob. 89GPCh. 21 - Prob. 90GPCh. 21 - Prob. 91GPCh. 21 - Prob. 92GP
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- A metal sphere with charge +8.00 nC is attached to the left-hand end of a nonconducting rod of length L = 2.00 m. A second sphere with charge +2.00 nC is fixed to the right-hand end of the rod (Fig. P23.53). At what position d along the rod can a charged bead be placed for the bead to be in equilibrium? FIGURE P23.53arrow_forwardFour charged particles q, q, q, and q are Fixed at the comers of a square with side length L as shown in Figure P23.52. If another charged particle of magnitude Q is placed at the center of the square, will it be in static equilibrium? Does the sign of the charge Q matter? Explain.arrow_forwardA circular ring of charge with radius b has total charge q uniformly distributed around it. What is the magnitude of the electric field at the center of the ring? (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) none of those answersarrow_forward
- Is it possible for a conducting sphere of radius 0.10 m to hold a charge of 4.0 C in air? The minimum field required to break down air and turn it into a conductor is 3.0 106 N/C.arrow_forwardTwo small spherical conductors are suspended from light-weight vertical insulating threads. The conductors are brought into contact (Fig. P23.50, left) and released. Afterward, the conductors and threads stand apart as shown at right. a. What can you say about the charge of each sphere? b. Use the data given in Figure P23.50 to find the tension in each thread. c. Find the magnitude of the charge on each sphere. Figure P23.50arrow_forwardTwo small beads having positive charges q1 = 3q and q2 = q are fixed at the opposite ends of a horizontal insulating rod of length d = 1.50 m. The bead with charge q1 is at the origin. As shown in Figure P19.7, a third small, charged bead is free to slide on the rod. (a) At what position x is the third bead in equilibrium? (b) Can the equilibrium be stable?arrow_forward
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