Electric Potential and Electric Potential Energy. A charge q1= 2.00 μCis located at the origin, and a charge q2= -6.00 μCis located at (0, 3.00) m, as shown in the figure below. (A) Find the total electric potential due to these charges at the point P, whose coordinates are (4.00, 0) m. (B) Find the change in potential energy of the system of two charges plus a charge q3= 3.00 μCas the latter charge moves from infinity to point P.

An electron moving parallel to the x axis has an initial speed of 3.40 x 106 m/s at the origin. Its speed is reduced to 1.98 x 105 m/s at the point x = 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. Volts (b) which point is at the higher potential? O the point x = 2.00 cm ● the origin O both have the same potential

A charged particle ( q = 8.0 mC), which moves in a region where the only force acting on the particle is an electric force, is released from rest at point A. At point B, the kinetic energy of the particle is equal to 6.4 J. What is the electric potential difference V B − V A?

Two protons are located at (4.70, 0) m and (0, 2.90) m, respectively. Determine the following. (a) the electric potential at the origin V (b) the electric potential energy of a third proton located at the origin J

= A point charge Q1 = +5.8 µC is fixed in space, while a point charge Q2 = +2.8 nC, with mass 6.3 µg, is free to move around nearby. Calculate the electric potential energy of the system, in joules, when Q2 is located 0.42 m from Q₁. 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 0.79 m from Q₁? m/s

A rod of length L = 4.00 m with uniform charge of 9.50 nC/m is oriented along the y axis as shown in the diagram. P, (a) What is the electric potential at the location P1 whose coordinates are (0, -6.00 m)? V (b) What is the electric potential at the location P2 whose coordinates are (6.00 m, 2.00 m)?

The electric field of ?(?) = 1/r + 3(v/m), where r is the distance from the origin, is applied in a region of space. Find the electric potential between the two points ?1=0,5 m  and r2 =2 m . Hint: you will have to use integration here, with r1 and r2 as your bounds of integration

The figure below shows a small, charged sphere, with a charge of q = +41.0 nC, that moves a distance of d = 0.177 m from point A to point B in the presence of a uniform electric field E of magnitude 265 N/C, pointing right.   (a) What is the magnitude (in N) and direction of the electric force on the sphere?     (b) What is the work (in J) done on the sphere by the electric force as it moves from A to B?     (c) What is the change of the electric potential energy (in J) as the sphere moves from A to B? (The system consists of the sphere and all its surroundings.)     (d) What is the potential difference (in V) between A and B?

A square of side a = 1 m has charges +Q and -Q (Q = 2 μC) alternating from one corner tothe next. Find the electric potential energy for the systems of charges.

Two protons are located at (2.00, 0) m and (0, 2.30) m, respectively. Determine the following. (a) the electric potential at the origin V (b) the electric potential energy of a third proton located at the origin J