We assemble a group of three charges, each of + 2.0 µC, bringing them in from infinite distance, where we set V = 0. We put the first charge at x = 0 cm, then put the second one at x = 10 cm, and last put the third one at x = 20 cm. What was the total work done by the applied force? (Hint: At each step, W_applied = + Delta(PE) = + q Delta(V), where q is the charge you're bringing in now and V is determined by the charges that are already in place.)
Q: 4 cm 3 cm 2 cm → 0< 13. a. How much work would it take to move a -12 µC point charge from point A to…
A: Solution: 13. (a). The potential at A due to the charge q1 and q2 is, VA=kq1r1+kq2r2…
Q: Three point charges q1 = +2.7pC, q2 = -3.4uC and q3 = -1.6pC initially are infinitely far %3D apart.…
A:
Q: Three charges, q1 = 4 x 10-6 C, q2 = -2 x 10-6 C, and q3 = 5 x 10-6 C are placed at the corners of…
A:
Q: The two charges in the figure below are separated by d=2.50 cm. (Let q=-18.0 nC and q₂-25.5 m The…
A:
Q: A point charge with charge q1 = 3.90 μC is held stationary at the origin. A second point charge with…
A: (given) A point charge (q1) = 3.90 μC = 3.90 ×10-6 C Second point charge (q2) = -4.40 μC = - 4.40…
Q: An electric dipole, consisting of the charges of magnitude q = 2.0x10-6 C separated by 2.4 mm is in…
A: Given, charge q=2.0 x 10-6 C distance d=2.4 mm Electric field E=100 kN/C
Q: = +20 μC g -40 μC Β 30 mm 40 mm *43 = +20 µC P
A: Given values:- Length of rectangle,(l)=30 mm=0.03 m ----(1) Breadth of rectangle,(b)=40mm=0.04 m…
Q: Four point charges, each with a magnitude of 1.00 C, are placed at the corners of a 45 rhombus…
A: In the given problem, four point charges of equal magnitude of 1 μC are arranged at the corners of a…
Q: hree charges, + 17 uC, - 17 uC and + 17 uC are placed at A (0,5cm), B (5cm,0), C(-5cm,0). Calculate…
A:
Q: Given two particles with Q = 3.30-μC charges as shown in the figure below and a particle with charge…
A:
Q: A particle that carries a net charge of -59.8 μC is held in a constant electric field that is…
A: Q = charge = -59.8μc θ = angle from vertical =25.2 E = electric field =6.32N/C d = distance…
Q: Oppositely charged parallel plates are separated by 6.06 mm. A potential difference of 600 V exists…
A:
Q: Three point charges Q1 = 1.3 uC, Q2 = -4 uC and Q3 = 4.6 uC are initially, infinitely far apart.…
A: The electric potential energy due to the two charges is U = K q q'r where, q and q' is the charge…
Q: A point charge q1q1 = +2.40 μCμC is held stationary at the origin. A second point charge q2q2 =…
A:
Q: Given two particles with Q=1.70-μC charges as shown in the figure below and a particle with charge q…
A: As per the answering guidelines we will solve only first three parts. Please upload the other part…
Q: Electric field in a certain region is a vector of magnitude 3,837 V/m. If you move throughout a…
A: Magnitude of electric field is Displacement is Angle between electric field vector and displacement…
Q: The amount of work you have to do to move a charge q from point Pi to point P2 through a small…
A: Work done on the charge is given by the expressionW=-qE∆rcosφφ is the angle between the displacement…
Q: Three charges are arranged on the vertices of an equilateral triangle whose sides have length d =…
A:
Q: Four point charges are located at the corners of a square that is 8.0 cm on a side. The charges,…
A:
Q: Three charges are in a line. One charge has size 2.6 x 10-4 C and is located at x = -6.2 m.…
A:
Q: The last surviving dodo bird had been hiding out on a far-away island with only a 73-μC point charge…
A:
Q: Calculate the work required to take one of the charges and to move it away to infinity, in J.
A: Electric Potential The electric potential due to a charge at a point is the amount of work done in…
Q: Problem 15: Consider the arrangement of three point charges in a right triangle shown in the…
A: Step 1: Step 2: Step 3: Step 4:
Q: Four identical charged particles (q=+12.0 µC) are located on the corners of a rectangle as shown in…
A:
Q: A point charge with charge Q1=-4.3 µC is held stationary at the origin. A second point charge wi…
A:
Q: Find the work done to transfer a point charge q=+5 µC in the electric field: E-yi-xj From point…
A: Potential difference between two points: The work required to move a unit positive charge from…
Q: a) Calculate how much work is required to set up the arrangement if the charges are initially…
A:
Q: Given two particles with Q = 1.90-µC charges as shown in the figure below and a particle with charge…
A:
Q: Three particles lie on the three corners of an equilateral triangle with sides of length 3.0 cm.…
A:
Q: Three charges (q_1 = 4.0 nC, q_2 = 3.0 nC, q_3 = -5.0 nC) are placed at the corners of a right…
A:
Q: A charge of +122 µC is fixed at the center of a square that is 0.44 m on a side. How much work is…
A: Given value--- q1 = 122 micro C. side of square = 0.44 m. q2 = 8.6 micro C. We have to find---…
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
- Two charges, q1 = 4.5 µC and q2 = 4.5 µC are placed symmetrically along the x-axis at =±3.25 m. Consider a charge q3 of charge 9.1 µC and mass 6.58 µg moving along the y-axis. q3 starts from rest at y= 0.18 m. If the total work on charge q3 is 6.27 J, what is the final speed of the charge?A point charge q1 = -3.20 uC is held stationary at the originShown below is a configuration of charges that has been formed into a right triangle. We shall consider the process of the work required to assemble this collection of charges in the manner shown. To do so, we shall start with empty space and then add into that space one charge at a time until we have completely assembled the triangle of three charges. The legs of the right triangle have dimensions dx = 5.14e-02 meters and dy = 2.41e-02 meters. dx dy 92 91 The charges are as follows: 9₁-8.43e-06 Coulombs. • 92= 1.26e-06 Coulombs. • 93= -5.64e-06 Coulombs. 93 Determine the work required to place only q1 into the position shown: Determine the work required to ADD 92 into the picture: Determine the work required to ADD q3 into the picture: Determine the total work required to complete all the above steps: NOTE: Some of the works are positive. Some of the works are negative. Keep LOTS of digits if you want to get the sum correct to the required precision. Joules Joules Joules Joules
- Suppose that qı = 3.49 nC, q2 = 5.52 nC, q3 = -5.63 nC, r = 2.50 cm, r' = 7.19 cm, and r12 =3.13 cm, in the system of charges shown in the figure below. The work done by the electric field due to q1 and q2 in %3D %3D bringing q3 from the top position to the bottom position is most nearly 93 92 r12 93 (A) 24.6 µJ. (В) — 11.9 рЈ. (C) 11.9 µJ. (D) -24.6 µJ. (E) 26.5 µJ.Two charges Q₁ = 4.7μC and Q₂ 8μC are placed on the two corners of a rectangle with the sides a 4.2mm and b= 12.1mm as shown in the figure below. How much work is required to bring a thir charge Q3=3.8µC from infinity to point P that is a distance c = 4.9mm away from Q₁? Please take k = 9.0 x 10°N. m²/C² and express your answer using one decimal place in units of J or N.m. 2₁, C P a b Q₂2Consider the arrangement of three point charges in a right triangle shown in the figure, which have charges q1 = 9.5 μC, q2 = -69 μC, and q3 = 25 μC. The distance between q1 and q2 is 28 cm and the distance between q2 and q3 is 61 cm. Previous answers aren't correct. 1. How much potential energy, in joules, is stored in this configuration of charges? U=? 2. Now assume that q1 and q2 are fixed in space at the locations indicated, and q3 is brought into it's position from infinity. What is the change in potential energy of the system, in joules, during this process? U3=?
- Shown below is a configuration of charges that has been formed into a right triangle. We shall consider the process of the work required to assemble this collection of charges in the manner shown. To do so, we shall start with empty space and then add into that space one charge at a time until we have completely assembled the triangle of three charges. The legs of the right triangle have dimensions dx = 6.91e-02 meters and dy = 2.25e-02 meters. dx dy 92 91 The charges are as follows: .q₁-8.14e-06 Coulombs. • 92 = 2.24e-06 Coulombs. • 93 = -6.72e-06 Coulombs. Determine the work required to place only q1 into the position shown: Determine the work required to ADD 92 into the picture: Determine the work required to ADD 93 into the picture: [ Determine the total work required to complete all the above steps: 93 Joules Joules Joules Joules NOTE: Some of the works are positive. Some of the works are negative. Keep LOTS of digits if you want to get the sum correct to the required precision.Given two particles with Q = 2.50-μC charges as shown in the figure below and a particle with charge q = 1.21 x 10-18 C at the origin. (Note: Assume a reference level of potential V = 0 at r = 00.) O x = -0.800 m O 0 x = 0.800 m Ⓡ (a) What is the net force (in N) exerted by the two 2.50-μC charges on the charge q? (Enter the magnitude.) N (b) What is the electric field (in N/C) at the origin due to the two 2.50-μC particles? (Enter the magnitude.) N/C (c) What is the electrical potential (in kV) at the origin due to the two 2.50-μC particles? kv (d) What If? What would be the change in electric potential energy (in J) of the system if the charge were moved a distance d = 0.400 m closer to either of the 2.50-μC particles?Two charges Q1 = -4 µC and Q2 = +2 µC are placed in the diagonally opposite vertices of a rectangle with sides a = 18 cm and b = 6 cm. How much work have to be done by the electric forces to move a test charge Q3 = +3 µC diagonally from the vertex A to the vertex B? a) 180 J b) 250 J c) 1.8 J d) 2.5 J
- Three charges, +23 uC, -23 uC and +23 uC are placed at A (0,5cm), B (5cm,0), C (-5cm,0). Calculate the potential energy of the whole system of charges.In the figure point P is at a distance d = 4.63 m from particle 1 (q = -5e) and distance d = 3.13 m from particle 2 (q2 = +5e), with both particles fixed in place. (a) With V =0 at infinity, what is V at P? If we bring a particle of charge q3 = +5e from infinity to P, (b) how much work do we do and (c) what is the potential energy of the three-particle system? %3D %3D 92 (a) Number Units (b) NumberA point charge q = +39.0 µC moves from A to B separated by a distance d = 0.195 m in the presence of an external electric field of magnitude 290 N/C directed toward the right as in the following figure. (a) Find the electric force exerted on the charge. magnitude _______ N direction toward the right toward the left The magnitude is zero. (b) Find the work done by the electric force. ______ J(c) Find the change in the electric potential energy of the charge. ______ J(d) Find the potential difference between A and B.VB − VA = _______ V