In the figure seven charged particles are fixed in place to form a square with an edge length of 2.8 cm. How much work must we do to bring a particle of charge +2e initially at rest from an infinite distance to the center of the square? Number i Units +2e +3e +3e - Se +e

In the figure seven charged particles are fixed in place to form a square with an edge length of 2.8 cm. How much work must we do to bring a particle of charge +2e initially at rest from an infinite distance to the center of the square? Number i Units +2e +3e +3e - Se +e

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 98AP: A small spherical pith ball of radius 0.50 cm is painted with a silver paint and then -10 C of...

See similar textbooks

Related questions

Q: The work done by an electric force in moving a charge from point A to point B is 2.75 x 10-3 J. The…

Q: A proton (mass = 1.67 x 10-27 kg, charge = 1.60 x 10-19 C) moves from point A to point B under the…

A: Velocity at point A =50 KM/S = 50000 k/s Velocity at point B =82.6 Km/ s = 82600 m/s Q( VA - VB) = W…

Q: Two point charges with values of 3.4 uC and 6.6 uC are separated by 0.20 m. What is the electrical…

A: Two point charges as q1=3.4 μC and q2=6.6 μC Distance between charges is r=0.20 m Note: 1 J=1 Nm 1…

Q: Four identical charged particles (q= +14.0 μC) are located on the corners of a rectangle as shown in…

Q: 1 Charged Rod L A metal rod of length L = 30 cm has been charged up for a physics demonstration. It…

A: Given: The length of the metal rod is L = 30 cm The total charge of the rod is Q = 5 μC The distance…

Q: Positive electric charge Q is distributed uniformly along a thin rod of length 2a. The rod lies…

Q: The figure below shows two point charges of equal magnitudes. The charge on the left is +1 nC and…

A: Potential due to charge at point A is; VA=Q4πε0r =9×1091×10-93 =3 V

Q: Equally spaced equipotential lines are shown spaced 2 centimeters apart. A path is shown from point…

Q: the objects mass is 70.0 kg and you initially put the boxes of protons and electrons 45 m apart. Now…

Q: An undergraduate student is tasked with assembling a distribution of charges. The charges are…

A: Q1 = + 3.45 × 10-⁶ C Q2 = + 7.65 × 10-⁶ C Q3 = - 1.15 × 10-⁶ C r = 1.35 m

Q: Three charges will be moved from an infinite distance to the corners of a square as shown. The…

Q: A homemade capacitor is assembled by placing two 8-in. pie pans 6 cm apart and connecting them to…

Q: Q #1 A particle with charge 5 nC is placed in a uniform electric field at rest; the electric field…

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

Q: A point charge with charge q1q1q_1 = 3.10 μCμC is held stationary at the origin. A second point…

Q: An electron is released from rest at the negative plate of a parallel plate capacitor. The charge…

A: Given that an electron is released from negative plate of a parallel plate capacitor.Initial speed…

Q: A charged particle Qo=1.5 mC is initially placed in the position A at a distance dA=1 mm from…

A: Charge on moving charged particle, Charge on stationary charged particle, Initial distance, Final…

Q: You rub an inflated balloon on the carpet and it acquires a potential that is 1000 V lower than its…

Q: + +5 mC 4 cm Hint P₁ Figure Description a. Potential at P₁ b. Potential at P₂ = c. Potential at P3 =…

Q: A particle with a charge of -1.0 µC and a mass of 3.0 x 10-6 kg is released from rest at point A and…

A: Charge on particle is Mass of particle is Speed at point A is Speed at point B is Note:Find:The…

Q: A parallel-plate capacitor has a capacitance of C. If the area of the plates is halved and the…

A: The capacitance of the parallel plate capacitor is:C=ε0A0d0now the area of the plate is…

Q: 2.0 µC charge is placed in air. How much work needs to be done to carry a 0.05 µC of charge from a…

A: Charge, Q = 2 µC Test charge, q = 0.05 µC Locations are 50 cm to 10 cm.

Q: The shaded region in the diagram below is a region of uniform electric field that is parallel to the…

A: The work done to move the charge Q, from A to B can be given by, W=-∆PE, where PE= potential energy.…

Q: When a hummingbird visits a flower, its wings rub against the flower and leaves, and this can result…

Q: Two parallel plates having equal and opposite charges with area L x L separation d is filled with a…

Q: An eletrostatic paint sprayer consists of a charged metal sphere. Charged paint droplets (the sign…

A: (a) Given: Radius of the sphere r=Diameter2=0.3 m2=0.15 m, Potential of the sphere Vsphere=25…

Q: The work done by an external force to move a -8.60 μC charge from point a to point b is 1.90x10-3 J.…

Q: 1. In the figure, the lines represent equipotential lines. A charged object is moved from point P to…

Q: Two particle with charges Q and -Q are fixed at the vertices of an equilateral triangle with sides…

Q: he ammonia molecule NH3 has a permanent electric dipole moment Calculate the electric potential in…

A: GIVEN Electric dipole moment of NH3 molecule…

Q: A parallel plate capacitor is charged to a potential of 3000 V and then isolated. Find the magnitude…

A: Given: ∆V=3000 VA =0.40 m2 d =0.020 mAnd we know:εo =8.854×10-12 F/m We know the formula for…

Q: Problem 7: A long coaxial cable consists of an inner conductor r1 = 1.2 mm and outer conductor with…

Q: Four charged particles (two having a charge +Q and two having a charge -Q) are arranged in the…

A: The work done (W) in moving a charge is directly related to the difference of the potential between…

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

In the figure seven charged particles are fixed in place to form a square with an edge length of 2.8 cm. How much work must we do to
bring a particle of charge +2e initially at rest from an infinite distance to the center of the square?
Number i
Units
↓
+2e
+3e
-2e
+3e
-Se
·+e

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: There are 7 charges arranged in square frame

VIEW

Step 2: Determining electric potential at centre

VIEW

Step 3: Determining work done to bring +2e from infinite to centre

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite? FIGURE P26.14 Problems 14, 15, and 16.
Two large charged plates of charge density 30C/m2 face each other at a separation of 5.0 mm. (a) Find the electric potential everywhere, (b) An electron is released from rest at the negative plate; with what speed will it strike the positive plate?
Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = +2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy?
A metallic sphere of radius 2.0 cm is charged with +5.0C charge, which spreads on the surface of the sphere uniformly. The metallic sphere stands on an insulated stand and is surrounded by a larger metallic spherical shell, of inner radius 5.0 cm and outer radius 6.0 cm. Now, a charge of 5.0C is placed on the inside of the spherical shell, which spreads out uniformly on the inside surface of the shell. If potential is zero at infinity, what is the potential of (a) the spherical shell, (b) the sphere, (c) the space between the two, (d) inside the sphere, and (e) outside the shell?
An electron moving parallel to the x axis has an initial speed of 3.70 106 m/s at the origin. Its speed is reduced to 1.40 105 m/s at the point x = 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. (b) Which point is at the higher potential?
A particle with charge 1.60 1019 C enters midway between two charged plates, one positive and the other negative. The initial velocity of the particle is parallel to the plates and along the midline between them (Fig. P26.48). A potential difference of 300.0 V is maintained between the two charged plates. If the lengths of the plates are 10.0 cm and they are separated by 2.00 cm, find the greatest initial velocity for which the particle will not be able to exit the region between the plates. The mass of the particle is 12.0 1024 kg. FIGURE P26.48
A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown in Figure P20.29. The rod has a total charge of 7.50 C. Find the electric potential at O, the center of the semicircle. Figure P20.29
A point charge of q=50108 C is placed at the center of an uncharged spherical conducting shell of inner radius 6.0 cm and outer radius 9.0 cm. Find the electric potential at (a) r = 4,0cm, (b) r = 8.0 cm, (c) r — 12.0 cm.
Two parallel plates 10 cm on a side are given equal and opposite charges of magnitude 5.0109 C. The plates are 1.5 mm apart. What is the potential difference between the plates?
In Active Figure 20.8a, take q1 to be a negative source charge and q2 to be the test charge. (i) If q2 is initially positive and is changed to a charge of the same magnitude but negative, what happens to the potential at the position of q2 due to q1? (a) It increases. (b) It decreases. (c) It remains the same. (ii) When q2 is changed from positive to negative, what happens to the potential energy of the two-charge system? Choose from the same possibilities.
(a) Find the potential difference VB required to stop an electron (called a slopping potential) moving with an initial speed of 2.85 107 m/s. (b) Would a proton traveling at the same speed require a greater or lesser magnitude potential difference? Explain. (c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential, Vp/Ve. The answer should be in terms of the proton mass mp and electron mass me.
A long thin wire is used in laser printers to charge the photoreceptor before exposure to light. This is done by applying a large potential difference between the wire and the photoreceptor. a. Use Equation 26.23, V(r)=20lnRr to determine a relationship between the electric potential V and the magnitude of the electric field E at a distance r from the center of the wire of radius R (r R). b. Determine the electric potential at a distance of 2.0 mm from the surface of a wire of radius R = 0.80 mm that will produce an electric field of 1.8 106 V/m at that point.