Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of charge q2 is at x = +a. If their net electrostatic force on particle 3 of charge Q is to be zero, what must be the ratio q1/92 when particle 3 is at (a) x = +0.381a and (b) x = +1.93a?

Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of charge q2 is at x = +a. If their net electrostatic force on particle 3 of charge Q is to be zero, what must be the ratio q1/92 when particle 3 is at (a) x = +0.381a and (b) x = +1.93a?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 40PQ

See similar textbooks

Related questions

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.59 µC, x1…

A: Given : q1 = 2.59μC = 2.59×10-6 C Position of q1 = (2.73 cm, 0.125 cm) q2 = -5.36 μC = -5.36×10-6…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 3.44 μC, x₁1…

A: According to Coulomb's law, the electrostatic force between two charged particles is given by:…

Q: Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of…

A: a)The required ratio of the charges is,

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 2.52 µC, x₁…

A: Consider the given data as below. Charge, q1=2.57 μC=2.57×10-6C The distance along x direction,…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.28 µC, x1…

A: (a). Magnitude F =-44.703N (b). Direction Theta =-11.50° downward (c). X3 = 4.1753 (d). Y3 =3.1844

Q: In the figure, the particles have charges q1 = -q2 = 410 nC and q3 = -q4 = 97 nC, and distance a =…

A: Finding the forces :

Q: In the figure particle 1 of charge -4.20q and particle 2 of charge +1.30q are held at separation L =…

A: Given. Q1 = -4.2q Q2 = 1.3q L = 5.3 m Net electric field due to the combined system is point and on…

Q: The charges and coordinates of two charged particles held fixed in an xy plane areq1 = 2.42 µC, x1 =…

Q: In part (a) of the figure, particle 1 (of charge q1) and particle 2 (of charge q2) are fixed in…

Q: In the figure particle 1 of charge +5e is above a floor by distance d1 = 4.40 mm and particle 2 of…

A: For particle 1: charge = +5e d1 = 4.40 mm For particle 2: charge = +6e d2 = 7.10 mm

Q: Three particles are fixed on an x axis. Particle 1 of charge q, is at x = -a and particle 2 of…

Q: Q#01.a. What must be the distance between point charge qı= 20µC and point charge qz= -45µC for the…

A: Q#01.a. Using Coulomb's law, F=keq1q2r2r=keq1q2F=8.99×109 Nm2C-220×10-6 C45×10-6 C4.80 N=1.298 m≈1.3…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are 91 = 2.80 μC, x₁…

A: Given that: charge: q1=2.80 μCx1=4.36 cm, y1=0.631 cmq2=-4.82 μCx2=-2.85 cm, y2=2.30 cm It is…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 3.15 µC, x1…

Q: four particles form a square of edge length a= 5.00cm and have charges q1=+10.0nC, q2=-20.0nC,…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.57 µC, x1…

A: Consider the given data as below. Charge, q1=2.57 μC=2.57×10-6 C The distance along x direction,…

Q: In the figure particle 1 of charge +6e is above a floor by distance di = 4.80 mm and particle 2 of…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 3.35 μC, x₁…

Q: The charges and coordinates of two charged particles held fixed in an xy plane areg1 = 2.74 uC, x1 =…

Q: Three particles are fixed on an x axis. Particle 1 of charge q, is at x=-a, and particle 2 of charge…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 2.23 µC, x₁…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 2.17 µC, x₁…

A: Note: As per the guidelines, we can only answer three subparts of a question. Sorry for the…

Q: In the figure particle 1 of charge +5e is above a floor by distance d1 = 4.60 mm and particle 2 of…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = +3.0 μC, x₁…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.22 µC, x1…

A: a) Determine the distance between q1 and q2. Determine the force on charge q2 due to charge q1.

Q: In the figure particle 1 of charge q1 = 1.03 µC and particle 2 of charge q2 = -3.09 µC, are held at…

Q: Three charged particles form a triangle: particle 1 with charge Q1 = 80.0 nC is at xy coordinates…

A: Particle 1 and 2 are on Y-axis, and particle 3 is on the x-axis, Let the distance between Q1, Q3 and…

Q: Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of…

A: Given,

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 2.13 μC, x₁…

A: Note: As per the guidelines, we can only answer three subparts of a question. Sorry for the…

Q: In the figure particle 1 of charge -4.50q and particle 2 of charge +2.10q are held at separation L=…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.38 µC, ×1…

A: a) Calculate the distance between two points on the xy-plane.

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 3.12 µC, x1…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1= 3.11 µC, x1 =…

A: We have been given two charges q1=3.11uC and q2=-3.84uC at positions (x.y)=(5.01,0.163) and…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.99 µC, x1…

Q: In the figure particle 1 of charge +4e is above a floor by distance d, = 2.60 mm and particle 2 of…

A: By Columb's law, we have magnitude of the electrostatic force by particle 1 on particle 2 is…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 2.10 µC, X₁1…

A: According to guidelines i will solve only three subparts

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 3.01 µC, x₁…

A: (a) Magnitude 6.3788cm (b) Direction - 7.845 (c) X3 - 10.13cm (d) y3 2.46cm

Q: In the figure particle 1 of charge -4.20q and particle 2 of charge +1.30q are held at separation L =…

Q: Three particles are fixed on an x axis. Particle 1 of charge q1 is at x=-a, and particle 2 of charge…

A: a) The net electrostatic force on the third particle will be equal to zero in the given case, thus…

Q: Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of…

A: The force between two charged particles is given by F=q1q2/r2 where K is 1/4πepsilon note . AAnd R…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 2.52 μC, x₁…

Q: In the figure particle 1 of charge q1 = 1.00 µC and particle 2 of charge q2 = -3.02 uC, are held at…

A: First we have to find neutral point for particle 3

Q: In the figure particle 1 of charge +6e is above a floor by distance d1 = 3.60 mm and particle 2 of…

A: Its given that:

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 3.36 µC, x1…

A: a) 75.39 unit- N b) -18.82 unit- degree c) -0.08155 unit- m d) 0.0136 unit- m

Q: In the figure particle 1 of charge +5e is above a floor by distance di = 5.40 mm and particle 2 of…

A: The magnitude of electrostatic force between two charges q1 and q2 is given as, F=14πε0q1q2r2 where…

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

Three particles are fixed on an x axis. Particle 1 of charge q, is at x = -a and particle 2 of charge q2 is at x = +a. If their net electrostatic
force on particle 3 of charge Q is to be zero, what must be the ratio q1/92 when particle 3 is at (a) x = +0.381a and (b) x = +1.93a?
(a) Number
i
Units
(b) Number
i
Units

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

In the figure particle 1 of charge q1 = 0.98 μC and particle 2 of charge q2 = -3.01 μC, are held at separation L = 9.0 cm on an x axis. If particle 3 of unknown charge q3 is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the (a)x and (b)y coordinates of particle 3?
Three particles are fixed on an x axis. Particle 1 of charge q1 is at x=-a, and particle 2 of charge q2 is at x=+a. If their net electrostatic force on particle 3 of charge =Q is to be zero, what must be the ratio q1/q2 when particle 3 is at (a) x=+0.500a and (b) x=+1.50a?
A finite line of charge with linear charge density ?=2.00×10−6 C/m and length L=0.742 m is located along the ?x‑axis (from x=0 to ?=?). A point charge of ?=−6.88×10−7 C is located at the point m,x0=1.00 m, y0=4.00 m. Find the electric field (magnitude and direction as measured from the +x‑axis) at the point P, which is located along the ?x‑axis at ?P=10.10 m. The Coulomb force constant is ?=1/(4?/?0)=8.99×109 (N⋅m2)/C2.
Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of charge q2 is at x = +a. If their net electrostatic force on particle 3 of charge Q is to be zero, what must be the ratio q1/q2 when particle 3 is at (a) x = +0.415a and (b) x = +2.00a?
Three point charges are located at the corners of an equilateral triangle with sides of 10.0 cm as shown below. What is the x (horizontal) component of the force exerted on charge qc by charges qa and qb? qa = -[5.00] x 10-6C, qb = [4.00] x 10-6C, and qc = [10.0] x 10-6C?
A charge +q is located at the origin, while an identical charge is located on the x axis at x = +0.40 m. A third charge of +2q is located on the x axis at such a place that the net electrostatic force on the charge at the origin doubles, its direction remaining unchanged. Where should the third charge be located?
particle 1 of charge q1 = -4.27q and particle 2 of charge q2 = +2.47q are fixed to an x axis. As a multiple of distance L, at what coordinate on the axis is the net electric field of the particles zero?
Three parallel sheets of charge, large enough to be treated as infinite sheets, are perpendicular to the x-axis. Sheet A has surface charge density σA= +8.00 nC/m2nC/m2. Sheet BB is 4.00 cm to the right of sheet AA and has surface charge density σBσBsigma_B = -6.00 nC/m2nC/m2. Sheet CC is 4.00 cm to the right of sheet BB, so is 8.00 cm to the right of sheet AA, and has surface charge density σCσC = +6.00 nC/m2nC/m2. What are the magnitude and direction of the resultant electric field at a point that is midway between sheets BB and CC, or 2.00 cm from each of these two sheets? Express your answer in newtons per coulomb. Enter positive value if the field points in +x-direction and negative value if the field points in −x−direction.
A charge +q is located at the origin, while an identical charge is located on the x axis at x = +0.77 m. A third charge of +5q is located on the x axis at such a place that the net electrostatic force on the charge at the origin doubles, its direction remaining unchanged. Where should the third charge be located?x = m
The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 3.25 μC, x1 = 5.13 cm, y1 = 0.300 cm and q2 = -6.20 μC, x2 = -2.11 cm, y2 = 1.75 cm. Find the (a) magnitude and (b) direction (with respect to +x-axis in the range (-180°;180°]) of the electrostatic force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of charge q3 = 6.83 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero?
A bowling ball of regulation diameter (22.0 cm) hasn’t yet been drilled for finger holes and is charged throughout its volume. If the charge is spread uniformly and has a total value of positive 15.0.0 C, how strong is the electric field (a) 0 cm and (b) 33.0 cm from the ball’s center?
Three parallel sheets of charge, large enough to be treated as infinite sheets, are perpendicular to the x-axis. Sheet A has surface charge density σA = +2.00 nC/m2. Sheet B is 4.00 cm to the right of sheet A and has surface charge density σB = -5.00 nC/m2. Sheet C is 4.00 cm to the right of sheet B, so is 8.00 cm to the right of sheet A, and has surface charge density σC = +6.00 nC/m2. What are the magnitude and direction of the resultant electric field at a point that is midway between sheets B and C, or 2.00 cm from each of these two sheets? Express your answer in newtons per coulomb. Enter positive value if the field points in +x-direction and negative value if the field points in −x-direction.