EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 18P
Multiple charges at different locations are said to be in equilibrium if the force acting on any one of them is identical in magnitude and direction to the force acting on any of the others. Suppose we have two negative charges, one located at the origin and carrying charge –9e, and the other located on the positive x axis at a distance d from the first one and carrying charge –36e. Determine the location, polarity, and magnitude of a third charge whose placement would bring the entire system into equilibrium.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
5) ) The point charge at the bottom of the figure is, Q = 17 nC and the curve is
a circular arc, of radius r = 5 cm. What is the magnitude of the force on the
charge Q due to the other point charges shown?
-6.0 nC
2.0 nC
2.0 nC
45° 45°
5.0 cm
5.0 cm
+)
Explain or Show Work Here:
4. In the following figure, two charges: (q, 2 x 10-6C) and (q2 = 2.5 x 10- C). find the magnitude and the direction of the
resultant force exerted by the two charges on a third one (Q = 5x0-6C).
0.5m
0.3m
0 4m
0.3m
0.5m
Determine the magnitude of the force experience by a +2.9 statC charges if another identical charge is located 5 cm away.
(Hint: statC is the unit of charge in CGS and 1 C = 3 x 10° statC)
O a. 0.12 Dynes
O b.0.34 N
OC 0.34 Dynes
d. 0.12 N
Chapter 4 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
Ch. 4.2 - What happens to Maxwells equations under static...Ch. 4.2 - How is the current density J related to the volume...Ch. 4.2 - Prob. 3CQCh. 4.2 - A square plate residing in the xy plane is...Ch. 4.2 - A thick spherical shell centered at the origin...Ch. 4.3 - When characterizing the electrical permittivity of...Ch. 4.3 - If the electric field is zero at a given point in...Ch. 4.3 - State the principle of linear superposition as it...Ch. 4.3 - Four charges of 10 C each are located in free...Ch. 4.3 - Two identical charges are located on the x axis at...
Ch. 4.3 - In a hydrogen atom the electron and proton are...Ch. 4.3 - An infinite sheet with uniform surface charge...Ch. 4.4 - Explain Gausss law. Under what circumstances is it...Ch. 4.4 - How should one choose a Gaussian surface?Ch. 4.4 - Two infinite lines, each carrying a uniform charge...Ch. 4.4 - A thin spherical shell of radius a carries a...Ch. 4.4 - A spherical volume of radius a contains a uniform...Ch. 4.5 - What is a conservative field?Ch. 4.5 - Why is the electric potential at a point in space...Ch. 4.5 - Prob. 11CQCh. 4.5 - Why is it usually easier to compute V for a given...Ch. 4.5 - Prob. 13CQCh. 4.5 - Determine the electric potential at the origin due...Ch. 4.5 - A spherical shell of radius a has a uniform...Ch. 4.6 - What are the electromagnetic constitutive...Ch. 4.6 - Prob. 15CQCh. 4.6 - What is the conductivity of a perfect dielectric?Ch. 4.6 - Prob. 17CQCh. 4.6 - Prob. 18CQCh. 4.6 - Determine the density of free electrons in...Ch. 4.6 - Prob. 13ECh. 4.6 - A 50 m long copper wire has a circular cross...Ch. 4.6 - Prob. 15ECh. 4.7 - What is a polar material? A nonpolar material?Ch. 4.7 - Prob. 20CQCh. 4.7 - What happens when dielectric breakdown occurs?Ch. 4.7 - Find E1 in Fig. 4-19 if E2=x2y3+z3(v/m),1=20,2=80,...Ch. 4.7 - Repeat Exercise 4.16 for a boundary with surface...Ch. 4.8 - What are the boundary conditions for the electric...Ch. 4.8 - Prob. 23CQCh. 4.9 - How is the capacitance of a two-conductor...Ch. 4.9 - What are fringing fields and when may they be...Ch. 4.10 - To bring a charge q from infinity to a given point...Ch. 4.10 - Prob. 27CQCh. 4.10 - The radii of the inner and outer conductors of a...Ch. 4.11 - What is the fundamental premise of the image...Ch. 4.11 - Given a charge distribution, what are the various...Ch. 4.11 - Use the result of Example 4-13 to find the surface...Ch. 4 - A cube 2 m on a side is located in the first...Ch. 4 - Prob. 2PCh. 4 - Find the total charge contained in a round-top...Ch. 4 - If the line charge density is given by l = 24y2...Ch. 4 - Find the total charge on a circular disk defined...Ch. 4 - If J = 4xz (A/m2), find the current I flowing...Ch. 4 - Prob. 7PCh. 4 - An electron beam shaped like a circular cylinder...Ch. 4 - Prob. 9PCh. 4 - A line of charge of uniform density occupies a...Ch. 4 - A square with sides of 2 m has a charge of 40 C at...Ch. 4 - Three point charges, each with q = 3 nC, are...Ch. 4 - Charge q1 = 6 C is located at (1 cm, 1 cm, 0) and...Ch. 4 - A line of charge with uniform density = 8 (C/m)...Ch. 4 - Prob. 15PCh. 4 - A line of charge with uniform density l extends...Ch. 4 - Repeat Example 4-5 for liie circular disk of...Ch. 4 - Multiple charges at different locations are said...Ch. 4 - Three infinite lines of charge, all parallel to...Ch. 4 - Prob. 20PCh. 4 - A horizontal strip lying in the xy plane is of...Ch. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Charge Q1 is uniformly distributed over a thin...Ch. 4 - The electric flux density inside a dielectric...Ch. 4 - Prob. 26PCh. 4 - An infinitely long cylindrical shell extending...Ch. 4 - If the charge density increases linearly with...Ch. 4 - A spherical shell with outer radius b surrounds a...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - A circular ring of charge of radius a lies in the...Ch. 4 - Prob. 33PCh. 4 - Find the electric potential V at a location a...Ch. 4 - For the electric dipole shown in Fig. 4-13, d = 1...Ch. 4 - For each of the distributions of the electric...Ch. 4 - Two infinite lines of charge, both parallel to the...Ch. 4 - Given the electric field E=R18R2(V/m) find the...Ch. 4 - An infinitely long line of charge with uniform...Ch. 4 - The xy plane contains a uniform sheet of charge...Ch. 4 - A cylindrical bar of silicon has a radius of 4 mm...Ch. 4 - Repeat Problem 4.41 for a bar of germanium with e...Ch. 4 - A 100 m long conductor of uniform cross-section...Ch. 4 - Prob. 44PCh. 4 - Apply the result of Problem 4.44 to find the...Ch. 4 - A 2 103 mm thick square sheet of aluminum has 5 cm...Ch. 4 - A cylinder-shaped carbon resistor is 8 cm in...Ch. 4 - With reference to Fig. 4-19, find E1 if...Ch. 4 - An infinitely long cylinder of radius a is...Ch. 4 - If E=R150(V/m) at the surface of a 5-cm conducting...Ch. 4 - Figure P4.51 shows three planar dielectric slabs...Ch. 4 - Determine the force of attraction in a...Ch. 4 - Dielectric breakdown occurs in a material whenever...Ch. 4 - An electron with charge Qe = 1.61019 C and mass me...Ch. 4 - In a dielectric medium with r = 4, the electric...Ch. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Conducting wires above a conducting plane carry...Ch. 4 - Prob. 63P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- According to the figure below, four particles form a square. The charges are ql q4 - q and q2 = q3 = Q. (a)What is Qlg if the net electrostatic force on particles 3 is zero? (b) Is there any value of q that makes the net electrostatic force on each of the four particles zero? Explain.arrow_forwardTwo equal charges of +8microC are separated by 1.6mm. Determine the force between the charges. Tell whether the force is attractive or repulsive. Determine the intensity of the electrical field produced by a charge of +5microC at a point P that is 3mm to the right. What is the value and nature of the force over a charge of -8microC situated at point P? Two charges of +16microC and -8microC are separated 10mm. Determine the intensity and direction of the electric field at point P situated right in the middle of the two charges (see figure).arrow_forwardTwo positive point charges are equal to +5 nC on the x-axis, one at the center and the other at x = 8 cm. Find the potential at point P1 x = 4cm and point P2 y = 6 cm!arrow_forward
- A negative charge of -0.0005 C exerts an attractive force of 9.0 N on a second charge that is 10 m. away. What is the magnitude of the second charge?arrow_forward2: we had equally like charges arranged in a pattern of of aclock face. There are 12 equally like charges arranged in a clock face patternof radius R. Determine then, if we were to bring a like charge from infinitedistance to the center. What is the electric potential?arrow_forwardTwo charges, one of 2.50 µC and the other of -3.50 µC, are placed on the x axis, one at the origin and the other at x = 0.600 m, as illustrated in the figure. Find the position on the x-axis where the net force on the small charge + q should equal zero.arrow_forward
- Four q=2.00 nC point charges are located at P1(0.00, -2.00, 0.00)m, P2(0.00, 2.00, 0.00)m, P3 (0.00, 0.00, -2.00)m and P4(0.00, 0.00, +2.00)m. Find the total force acting on a 1.00 nC charge located at (2.00, 0.00, 0.00)m. O a. 3.2 ay (nN) O b. 4 ax (nN) O c. 6.4 ax (N)arrow_forwardCharges+Q1and –Q2are heldfixed from one another by a distance of d. Find the work done by an external applied force to move a –q from a distance d outside the negative charge (along a line joining the two fixed charges) toa pointdirectly in between thetwo fixed chargeswithoutchanging the kinetic energy of the charge, -q.arrow_forwardURGENTTTarrow_forward
- mp?attempt=2176198&cmid%3D1088508page%3D6 Question 7 Not yet anwend Marked out of 10.00 Hlag question The line shown in the figure has a linear charge distribution of 101 nC/em. If R=8 cm, find the Electric Potential at the point indicated by the dot. Scan clearly your detailed answers and upload it in question 8. R. 2R V=224016.68 V V=134410.01 V V=448033.36 V V=672050.04 varrow_forwardQ1/ From the figure what is the resultant force at the point charge P when -q = 2 C, +q = 1C? then find the electric field at point (p) by use the total force ? LE. 4cm 2cm 2cmarrow_forwardGiven Four point charges, of 1.00 nC each, located at P1(0.00, -2.00, 0.00)m, P2(0.00, 2.00, 0.00)m, P3(0.00, 0.00, -2.00)m and P4(0.00, 0.00, +2.00)m. The total force acting on a 1.00 nC charge located at point P (2.00, 0.00, 0.00)m is equal to: O a. F-3,18 (ax )nN O b. F=3,18 (ay )nN OC. FON O d. F=3,18 (az) nNarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Electricity for Refrigeration, Heating, and Air C...Mechanical EngineeringISBN:9781337399128Author:Russell E. SmithPublisher:Cengage Learning
Electricity for Refrigeration, Heating, and Air C...
Mechanical Engineering
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Cengage Learning
Electric Charge and Electric Fields; Author: Professor Dave Explains;https://www.youtube.com/watch?v=VFbyDCG_j18;License: Standard Youtube License