The two equal and opposite charges with magnitude 1.7 HC and the third charge 2.8 uC is placed as shown in the figure. Determine the electric potential energy of the system of charges 4.0 cm2.8 HC y -1.7 HC 1.7 HC x 6.0 cm (a) 0.043 J (b) 0.00043 J (c) 2.1 J (d) 42 J

Problem 4. The two charges in figure below are separated by a distance d = 2.00 cm, and Q = 15.00 nC. (ε = 8.85x10-¹² C²/N·m², k = 9 x10° N·m²/C², 1nC= 10-⁹ C). (a) Find the electric potential at A. (b) Calculate the electric potential at B. (c) What is the work done by the electric field to move a charge of -10.00 nC from A to B. d g d B 2Q

+Q +Q -a +Q + a + 2a A positive point charge +Q is located at x = -a. Assuming that the electric potential at infinity is zero, what is the electric potential energy of the system after an external agent brings in a second equal positive charge +Q from infinity to x = +a? (b) With the two equal point charges at x = -a and x = +a, what is the total electric potential energy of the system when an external agent brings in a third charge -Q from infinity to the origin? (c) By how much does the electric potential energy change when the charge - Q is moved from the origin to the point x = +2a along the semicircular path shown? Hint: how is the electric potential energy related to the electric potential? +Q Q: 0 +a

Two point charges Q, = +5.30 nC and Q, = -2.60 nC are separated by 45.0 cm. %3D (a) What is the electric potential at a point midway between the charges? V (b) What is the potential energy of the pair of charges? What is the significance of the algebraic sign of your answer? Positive work must be done to separate the charges. Negative work must be done to separate the charges.

In the rectangle in Figure, the sides are 5.0 cm and 15 cm long, q1 = -5.0 uC, and q2 = +2.0 uC. With V = 0 at infinity, %3D %3D B 42 c. How much work is required to move a charge q3 = +3.0 C from B to A along the diagonals of the rectangle? d. Does this work increase or decrease the electric potential energy of the three- charge system? e. What is the work required if q3 is moved along a path that is inside the rectangle but not on a greater, lesser, or equal diagonal? f. What is the work required if q3 is moved along the path outside the rectangle is 2/6 greater, less, or equal?

Two point charges Q1 +4.20 nC and Q₂ = -1.30 nC are separated by 55.0 cm. (a) What is the electric potential at a point midway between the charges? V = (b) What is the potential energy of the pair of charges? J What is the significance of the algebraic sign of your answer? O Positive work must be done to separate the charges. O Negative work must be done to separate the charges.

Three electric charges are places as follows: Charge q1 = 1.4 nC has coordinates x1 = -4.3 m, y1=0 m. %3D Charge q2 = 1.6 nC has coordinates x2 = 3.4 m, y2 = 0 m. %3D Charge q3 =-7.1 nC has coordinates x3 = 0 m, y3 = y m What should the value of y be equal to in order for the electric potential at the origin to be zero? Consider only positive values of y.

Can you solve the question in the picture below?

A proton is acted on by an uniform electric field of magnitude 233 N/C pointing in the negative x direction. The particle is initially at rest. (a) In what direction will the charge move? -x direction A (b) Determine the work done by the electric field when the particle has moved through a distance of 3.55 cm from its initial position. J (c) Determine the change in electric potential energy of the charged particle. (d) Determine the speed of the charged particle. 3.85 Consider applying the conservation of energy. m/s

A point charge Q1=+5.9 uC is fixed in space, while a point charge Q2=+2.2 nC, with mass 7.6 ug, is free to move nearby. A) calculate the electric potential energy of the system, in joules, when Q2 is located 0.42 m from Q1. B) if Q2 is released from rest at a point 0.42 m from Q1, what will be its speed, in meters per second, when it is 0.77m from Q1?