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 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?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter23: Electric Forces

Section: Chapter Questions

Problem 40PQ: Three charged metal spheres are arrayed in the xy plane so that they form an equilateral triangle...

See similar textbooks

Related questions

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: Two particles are fixed to an x axis: particle 1 of charge q = 2.68 x 10-8 C at x = 19.0 cm and…

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: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 3.25 μC, x1…

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: Three parallel sheets of charge, large enough to be treated as infinite sheets, are perpendicular to…

A: Draw the diagram to visualize the arrangements of the sheet and point P.

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: A block with a mass of 10.6 g and a charge of +8.70 × 10-5 C is placed in an electric field with x…

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

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

Q: In Fig. a, particles 1 and 2 have charge 20.0 mC each and are held at separation distance d =1.50 m.…

A: Given,

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.11 µC, x1…

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 are 91 = 3.49 µC, x1…

A: Your solutions are (a). Magnitude F=28.45N (b). Theta = - 6.88° (c). X3 = - 10.74cm (d). Y3 =…

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

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 3.19 μC, x₁…

Q: Two test charges are located in the ?x–?y plane. If q1=−2.600 nC and is located at x1=0.00 m,…

Q: In the figure particle 1 of charge +q and particle 2 of charge +4q are held at separation L = 8.62…

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

Q: In the figure particle 1 of charge +q and particle 2 of charge +9q are held at separation L = 10.9…

A: The charged body exerts force on the particle which are kept at some distance within its field. This…

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

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

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 = 0.98 μC and particle 2 of charge q2 = -3.01 μC, are held at…

A: Consider the figure, F1 and F2 denotes the force due to point 1 and 2 respectively at the location…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.74 uC, X1…

A: Electrostatic force between 2 charges is directly proportional to product of magnitude of 2 charges.…

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: A charge +q is located at the origin, while an identical charge is located on the x axis at x =…

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

A: Given data: q1 = q, q2 =4q and separation L=5.30 meter on the x-axis. So, the electric force of two…

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: 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: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.15 µC, x1…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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: 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: The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 3.19 µC, x1…

A: (a) magnitude F =30.49N (b) theta = - 9.959° (c) X3 =-10.64cm (d) Y3=3.39cm

Q: In Fig. a, particles 1 and 2 have charge of 20.0 mC each and are held at separation distance d =1.50…

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: The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 2.24 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 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…

Q: The charges and coordinates of two charged particles held fixed in an xy plane are q= 2.95 µC, x1 =…

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

100%

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?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

Panicle A of charge 3.00 104 C is at the origin, particle B of charge 6.00 104 C is at (4.00 m, 0), and panicle C of charge 1.00 104 C is at (0, 3.00 m). (a) What is the x-component of the electric force exerted by A on C? (b) What is the y-component of the force exerted by A on C? (c) Find the magnitude of the force exerted by B on C. (d) Calculate the x-component of the force exerted by B on C. (e) Calculate the y-component of the force exerted by B on C. (f) Sum the two x-components to obtain the resultant x-component of the electric force acting on C. (g) Repeat part (f) for the y-component. (h) Find the magnitude and direction of the resultant electric force acting on C.
Three charged metal spheres are arrayed in the xy plane so that they form an equilateral triangle (Fig. P23.40). What is the net electrostatic force on the sphere at the origin? Figure P23.40
A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.
In the figure particle 1 of charge q1 = 1.01 μC and particle 2 of charge q2 = -2.98 μC, are held at separation L = 10.1 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?
Three charged particles form a triangle: particle 1 with charge Q1 = 80.0 nC is at xy coordinates (0, 3.00 mm), particle 2 with charge Q2 is at (0, -3.00 mm), and particle 3 with charge q = 18.0 nC is at (4.00 mm, 0). In unit-vector notation, what is the electrostatic force on particle 3 due to the other two particles if Q2 is equal to (a) 80.0 nC and (b) -80.0 nC?
In the figure particle 1 of charge +6e is above a floor by distance d1 = 3.60 mm and particle 2 of charge +7e is on the floor, at distance d2 = 8.60 mm horizontally from particle 1. What is the xcomponent of the electrostatic force on particle 2 due to particle 1?
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?
The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = +3.0 μC, x₁ = 3.007 cm, y₁ = 0.5 cm, and q₂ = -6.0 μC, x₂ = -2.0 cm, y₂ = 2.0 cm. At what y coordinate should a third particle of charge q₃ = -6.0 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (1/(4πε₀₎ = 8.99×10⁹ N⋅m²/C²⁾.
In Fig. a, particles 1 and 2 have charge 20.0 mC each and are held at separation distance d =1.50 m. (a) What is the magnitude of the electrostatic force on particle 1 dueto particle 2? In Fig. b, particle 3 of charge 20.0 mC is positioned so as to complete an equilateral triangle. (b) What is the magnitude of the net electrostatic force on particle 1due to particles 2 and 3?
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.
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