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.)
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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.)"
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- 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?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 = 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 JoulesShown 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 JThree 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 = _______ VA point charge q1 = +2.40 mC is held stationary at the origin. A second point charge q2 = -4.30 mC moves from the point x = 0.150 m, y = 0 to the point x = 0.250 m, y = 0.250 m. How much work is done by the electric force on q2?
- Two point charges q1 = +26µC and q2 = -17.5µC are 64 cm apart. What is the potential energy of the system of two charges? Express your answer in Joules.Attached question and diagram.Points R and T are each a distance d from two particles that are fixed in space, with charges of equal magnitudes and opposite signs as shown. If d = 15.0cm and Q = 4.00μC, the work required to move a particle with charge q = +5.00µC from an infinite distance J. to point R is i 20 d R Save for Later Submit Answer