Three identical point charges (+36 µC) are placed at the corners of an equilateral triangle that has {20 cm sides. How much work ( in units of J) is required to assemble this charge arrangement starting with each of the charges a very large distance from any of the other charges?

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 done by the electric force as a charge of +8.6 µC is moved from one corner of the square to any other empty corner?

Two point charges (+17.10 nC and -17.10 nC) are located 8.00 cm apart. Let U = 0 when all of the charges are separated by infinite distances. What is the potential energy if a third point charge q = −4.20 nC is placed at point b? 8.00 cm 8.00 cm b 4.00 +4.00 +4.00 cm cm cm

Consider a charge Q1( + 5.0 μC) fixed at a site with another charge Q2 (charge +3.0 μC , mass 6.0 μg) moving in the neighboring space. (a) Evaluate the potential energy of Q2 when it is 4.0 cm from Q1. (b) If Q2 starts from rest from a point 4.0 cm from Q1, what will be its speed when it is 8.0 cm from Q1 ? (Note: Q1 is held fixed in its place.)

A sphere of radius R1 carries charge Q distributed uniformly over its surface. How much work does it take to compress the sphere R1 to a smaller radius R2?

Two charges of 18 µC each are placed on the corners of an equilateral triangle of side 0.6 m.  How much work is required to move another charge of 6 µC from infinity (where potential energy = 0) to an empty corner?

How much work is required to bring in a fourth charge (q4=-4.0 uC) to the last corner of the square at constant speed?

Given two particles with Q = 2.30-μC charges as shown in the figure below and a particle with charge q = 1.33 x 10-18 C at the origin. (Note: Assume a reference level of potential V = 0 at r = co.) Q x = -0.800 m 9 0 Q + x = 0.800 m X ✪ (a) What is the net force (in N) exerted by the two 2.30-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 2.30-μC particles? (Enter the magnitude.) N/C (c) What is the electrical potential (in kV) at the origin due to the two 2.30-µC particles? kV (d) What If? What would be the change in electric potential energy (in J) of the system if the charge q were moved a distance d = 0.400 m closer to either of the 2.30-μC particles?

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?

Two point charges lie along the x axis as shown in the figure below, where q, = -5 µC and q2 = 1 µC. Let Coulomb constant (ke) = 9 × 10° N · m²/C². %3D %3D y (1) 92 25 cm- 50 cm What is the electric potential energy (U) of the pair q1 and q2 a. - 0.0018 J O b.0.18J O c. 0.0018 J d. - 0.18 J