Two point charges Q, = +4.40 nC and Q, = -1.40 nC are separated by 45.0 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? What is the significance of the algebraic sign of your answer? O Negative work must be done to separate the charges. O Positive work must be done to separate the charges.

Two point charges Q1 = +4.80 nC and Q, = -1.80 nC are separated by 25.0 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? 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.

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.

Consider two separate systems with four charges of the same magnitude q = 17 µC arranged in the vertexes of a square of length h = 20 cm, see the picture below. Calculate the electric potential at the center of the square (points A and C) and at the middle of the bottom side of the square (points B and D). y y q h q h A. B The potential at point A, VA = The potential at point B, VB = The potential at point C, Vc = = The potential at point D, VĎ : q q X Units V Units V Units V Units V Units J q Units J F h C c. Ꭰ How much work is required to move a -38 µC charge from point A to point B? The work required, Wä→ß = How much work is required to move a -38 µC charge from point C to point D? The work required, Wc→D = ✓✓. ✓✓. q -q O X

The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 9.00 nC and calculate the electric potential at the midpoint of the base. (Let d, = 2.50 cm and d, = 5.00 cm.) d2 d1

A rod of length L lies along the x axis with its left end at the origin. It has a nonuniform charge density ? = ?x, where ? is a positive constant. (a) What are the units of ?? (Use SI unit abbreviations as necessary.) (b) Calculate the electric potential at A. (Use any variable or symbol stated above along with the following as necessary: ke.)

A +2 C point charge gains 10 J of kinetic energy as it moves from point A to point B. What is the change in electric potential as the particle moves from A to B?