**Problem Statement:**Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge \( q = 5.14 \, \text{nC} \) at the origin. (Let \( r_{12} = 0.260 \, \text{m} \).)**Diagram Explanation:**- The figure shows a coordinate system with three charges: - A charge \( q = 5.14 \, \text{nC} \) is located at the origin. - A charge \( -3.00 \, \text{nC} \) is located along the y-axis at \( 0.100 \, \text{m} \) from the origin. - A charge \( 6.00 \, \text{nC} \) is located on the x-axis at distance \( r_{12} = 0.260 \, \text{m} \) from the origin.**Questions:**- Calculate the magnitude of the electrostatic force on charge \( q \).- Determine the direction of the force, expressed in degrees counterclockwise from the \( +x \)-axis.**Inputs for Solution:**- Magnitude: - Blank space for entering the numerical value in Newtons (N).- Direction: - Blank space for entering the angle in degrees counterclockwise from the \( +x \)-axis.

Answered: Image /qna-images/answer/b94cc1d4-b72a-4a93-bccb-d809814c429d.jpg

Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge q = 5.14 nC at the origin. (Let r, = 0.260 m.) 6.00 nC 0.100 m -3.00 nC | magnitude N direction ° counterclockwise from the +x-axis

Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge q = 5.14 nC at the origin. (Let r, = 0.260 m.) 6.00 nC 0.100 m -3.00 nC | magnitude N direction ° counterclockwise from the +x-axis

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 5CQ

See similar textbooks

Related questions

Q: The figure below shows three small, charged spheres at the corners of an equilateral triangle.…

A: qA = 1.90μCqB = 5.40μC qC = -5.20μC each side of triangle = 0.50 m

Q: Electric charges of - 10 nC, + 10 nC, and - 20 nC are located in the x-y plane at positions of (0,…

Q: A charge q and a charge 2q experience an electric force of magnitude 0.38N when their separation is…

Q: +2 nC and -54 nC charges are 1 m apart. A third charge of +10 nC is in a line (X axis) with the two…

Q: Three charges are arranged as shown in the figure below. Find the magnitude and direction of the…

A: We will answer the question using expression for electric field due to a point charge. The detailed…

Q: Three point charges are arranged as shown in the figure below. (a) Find the vector electric field…

A: Given data, The positive charge q1=5.5 nC=5.5×10-9 C The negative charge q2=-3 nC=-3×10-9 C The test…

Q: Two charges +6 μC and +8 μC are placed along the x axis, with the first charge at the origin (x=0)…

Q: Charge Q = 1.5 nC resides on the top corner of an equilateral triangle as shown. The side length d…

Q: Three charges are arranged as shown, where d = 16 cm and h = 10 cm. The charges are q1 = -4.0 uC, q2…

A: To calculate the net electric force on the charge q1 and the direction of the net force. Given:The…

Q: Three charges are arranged as shown in the figure below. Find the magnitude and direction of the…

Q: Electric charges of - 10 nC, + 10 nC, and - 20 nC are located in the x-y plane at positions of (0,…

A: The three charges are placed at the vertices of an equilateral triangle of side 0.5 m in the x-y…

Q: A charge of -4.00 nC is palced at the origin of an xy coordinate system, and a charge of 3.00 nC is…

Q: Two negative and two positive point charges (magnitude Q = 4.88 mC ) are placed on opposite corners…

Q: Three point charges are arranged as shown in the figure below. Find the magnitude and direction of…

A: Given data: Charge on the particle: q=4.80 nC=4.8×10-9C Distance: r12=0.240 m

Q: In the diagram below, three point charges are held fixed along the same horizontal axis. Find the…

Q: Three point charges are placed on the x-axis. A charge of +2.0 µC is placed at the origin, -2.0 µC…

Q: Point charges q1 = +6 nC and q2 = -3nC, are placed at points (0m, 4m) and (3m, 0m) respectively.…

A: Given:The charge on q1 = 6 nC = 6×10-9 CThe charge q2 = -3 nC = 3×10-9 C It is required to…

Q: Protóns a a b --Electron Two protons are placed at a = 5.89 cm above and below the x axis at x = 0…

A: Draw the free-body diagram of the system. Calculate the disatnce between a proton and an electron.…

Q: Three point charges are arranged as shown in the figure below. Find the magnitude and direction of…

A: Given- Charge of the particle at the origin q=4.74 nC=4.74×10-9C r12=0.225 m

Q: Three point charges are fixed in place as shown, with q1 = +2.0 µC, q2 = -2.0µC, q3 = +4.0 µC, and a…

Q: The drawing shows two situations in which charges are placed on the x and y axes. They are all…

A: Electric field The Electric field, also known as electric field intensity is the measure of the…

Q: What is the VERTICAL component of the net force on the -2.0 nC charge (the negative charge)? Denote…

Q: Round to nearest hundredth

A: The objective of this question is to calculate the magnitude of the electric force acting on charge…

Q: Three point charges are arranged as shown in the figure below. Find the magnitude and direction of…

A: Solution: As given that qA = 4.82 nC qB = 6 nC qC = -3 nC rAB = 0.275 m rAC = 0.1 m

Q: An object with net charge of 4.80*10^-6 Coulomb experiences an electrostatic force having a…

Q: A charge ?1q1 = -6 nC is located at a distance s = 6 mm along the negative x axis. A second charge…

Q: Find the magnitude of the net electric force on the 2 nC charge. The Coulomb constant is 8.98755 x…

Q: Three point charges are arranged as shown in the figure below. Find the magnitude and direction of…

Q: 92 Two charges q1 = -40 μC and 92 = -21 μC are separated by a distance 0.6 m. What is the magnitude…

Q: A charge of -2.50 nC is placed at the origin of an xy-coordinate system, and a charge of 2.40 nC is…

Q: +2Q +30 8.00 cm

A: Given:- A charge +2Q is located at the origin. while a charge Q is located on the x-axis at a…

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

**Problem Statement:**

Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge \( q = 5.14 \, \text{nC} \) at the origin. (Let \( r_{12} = 0.260 \, \text{m} \).)

**Diagram Explanation:**

- The figure shows a coordinate system with three charges:
- A charge \( q = 5.14 \, \text{nC} \) is located at the origin.
- A charge \( -3.00 \, \text{nC} \) is located along the y-axis at \( 0.100 \, \text{m} \) from the origin.
- A charge \( 6.00 \, \text{nC} \) is located on the x-axis at distance \( r_{12} = 0.260 \, \text{m} \) from the origin.

**Questions:**

- Calculate the magnitude of the electrostatic force on charge \( q \).

- Determine the direction of the force, expressed in degrees counterclockwise from the \( +x \)-axis.

**Inputs for Solution:**

- Magnitude:
- Blank space for entering the numerical value in Newtons (N).

- Direction:
- Blank space for entering the angle in degrees counterclockwise from the \( +x \)-axis.

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 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

A person is placed in a large, hollow, metallic sphere that is insulated from ground, (a) If a large charge is placed on the sphere, will the person be harmed upon touching the inside of the sphere? (b) Explain what will happen if the person also has an initial charge whose sign is opposite that of the charge on the sphere.
(a) By what factor must you change the distance between two point charges to change the force between them by a factor of 10? (b) Explain how the distance can either increase or decrease by this factor and still cause a factor of 10 change in the force
A hydrogen atom consists of an electron and a proton. Model the hydrogen atom as a dipole with separation d = 1010 m. a. Estimate the electric potential energy of the hydrogen atom. b. How much work does an external force do in liberating the electron from the atom? c. If the external force does more than the work you found in part (b), what can you say about the electrons motion when it is very far from the proton?
Three point charges are arranged as shown in Figure P19.19. (a) Find the vector electric Field that the 6.00-nC and 3.00-nC charges together create at the origin. (b) Find the vector force on the 5.00-nC charge.
(a) Two point charges q1 and q23.00 m apart, and their total charge is 20 C. (a) If the force of repulsion between them is 0.075N, what are magnitudes of the two charges? (b) If one charge attracts the other with a force of 0.150 N, what are the magnitudes of the two charges? Note that you may need to solve a quadratic equation to reach your answer.
Review. A light, unstressed spring has length d. Two identical particles, each with charge q, are connected to the opposite ends of the spring. The particles are held stationary a distance d apart and then released at the same moment. The system then oscillates on a frictionless, horizontal table. The spring has a bit of internal kinetic friction, so the oscillation is damped. The particles eventually stop vibrating when the distance between them is 3d. Assume the system of the spring and two charged particles is isolated. Find the increase in internal energy that appears in the spring during the oscillations.
(a) Would life be different if the electron were positively charged and the proton were negatively charged? (b) Does the choice of signs have any bearing on physical and chemical interactions? Explain your answers.
The fundamental charge is e = 1.60 1019 C. Identify whether each of the following statements is true or false. (a) Its possible to transfer electric charge to an object so that its net electric charge is 7.5 times the fundamental electric charge, e. (b) All protons have a charge of +e. (c) Electrons in a conductor have a charge of e while electrons in an insulator have no charge.
You are working as an expert witness for an inventor. The inventor devised a system that allows an 85.0-kg human to hover above the ground at the surface of the Earth due to the repulsive force between a charge q applied to his body and the normal electric charge on the Earth. The normal charge on the Earth is such that the electric field is uniform from near the Earths surface, directed downward toward the surface, and is of magnitude 130 N/C at the location of the engineers experiments. Everything went well until the engineer tried a new experiment. He attempted to transfer the same amount of charge q to each of two experimental subjects standing next to each other, so they could hover and work close together on a task. The charged, hovering experimental subjects repelled each other and were injured as they flew away in opposite directions. Both experimental subjects are now suing the inventor for their injuries. The inventor is claiming that it is not his fault if the subjects find each other repulsive. To find out whether the inventor has a good defense, determine the initial acceleration of each subject if they are working 1.00 m apart.
Assume the charged objects in Figure OQ23.10 are fixed. Notice that there is no sight line from the location of q2 to the location of q1. If you were at q1, you would be unable to see q2 because it is behind q3. How would you calculate the electric force exerted on the object with charge q1? (a) Find only the force exerted by q2 on charge q1. (b) Find only the force exerted by q3 an charge q1. (c) Add the force that q2 would exert by itself on charge q1 to the force that q3 would exert by itself on charge q1. (d) Add the force that q3 would exert by itself to a certain fraction of the force that q2 would exert by itself. (e) There is no definite way to find the force on charge q1.
Three equal positive charges q are at the comers of an equilateral triangle of side a as shown in Figure P19.28. Assume the three charges together create an electric field. (a) Sketch the field lines in the plane of the charges. (b) Find the location of one point (other than ) where the electric field is zero. What are (c) the magnitude and (d) the direction of the electric field at P due to the two charges at the base?
Two point charges attract each other with an electric force of magnitude F. If the charge on one of the particles is reduced to one-third its original value and the distance between the particles is doubled, what is the resulting magnitude of the electric force between them? (a) 112F (b) 13F (c) 16F (d) 34F (e) 32F