The smiling face in the figure below consists of three items: 1. A thin rod of charge -5 μC that forms a full circle of radius 10 cm. 2. A second thin rod of charge 4 μC that forms a circular arc of radius 8 cm. Subtending and angle of 90° about the center of the full circle. 3. An electric dipole with a dipole moment that is perpendicular to a radial line and has magnitude p = 4.3 × 10-21 C.m. Reminder: The electric dipole consists of two charged particles of magnitude but of opposite sign, separated by a distance d. The dipole moment is defined as p = qd. What is the net electric potential at the center? -336x

A very large plane of charge with o= 4.0x10 c/m² lies in the y-z plane. A single charge Q=3.0x 10 C lies on the +x axds at x- 2.0 m. The electric field in N/C at x=5.0 m has the value a. 104. b. 226. c. 300. d. 526. e. 752.

1. Three identical metallic conducting spheres carry the following charges: 91 = +5.00 μC, q2 = +1.40 µC, and 93 -9.20 μC. The spheres that carry the charges 9₁ and 92 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge 93; those two are then separated as well. ROJS a) What is the final charge on the third sphere?60 SS μC sf60 s60 s ssf60 ssfo ssf603 60 ssf60 ssi

10. Three point-like charges are placed at the corners of an equilateral triangle as shown in the figure. Each side of the triangle has a length of 20.0 cm, and the point (C) is located half way between qı and q3 along the side. Find the magnitude of the electric field at point (C). Let q1 = -1.60 µC, q2 = +2.60 µC, and q3 = +5.20 µC. N/C oof19 00 q3 19.0of19.0of19.oof19 oof19.of of19 0of19 0of19 0of19.oof19 oof of19 0of19 oof19 0

A small, 2 g plastic ball carrying a charge 5c is suspended by a 20 cm long string in a uniform electric field If the ball is in equilibrium when the 0=15° , the magnitude of E= E 15.0° Select one: O a. 1 N/c b. 2952000 N/C O c. 1X 10^(-3) N/c O d. 1000 N/c O e. 0.1 N/c

1. A point charge q₁ –5 µC located at (x = 0, y = 0.4 m, z = 0) is moving with speed 9 × 10ª m/s. The charge q₁ is moving in the xy-plane, and its velocity ₁ makes a 45° angle with the y-axis as shown below. Another point charge 92 8 μC is located at (x = 0, y = 0, z = 0.3 m) and is moving with velocity 6.5 × 10-4 m/s in the +z-direction. = x - V₂ 92 Z V₁ 45° 91 y (a) What is the magnetic field produced by 9₁ at the location of 9₂? (b) What is the magnetic force exerted on 92 by 9₁?

Question= Two small spheres spaced 20.0 cmcm apart have equal charge. 1. How many excess electrons must be present on each sphere if the magnitude of the force of repulsion between them is 5.78×10−21 NN? Express your answer as number of electrons.

1. Figure below shows an arrangement of four charged particles with 0 = 30.0°and the distance d= 2.00 cm. Particle 2 has charge q2 =+ 8.00x10 -19C; particle 3 and 4 have charges q3=q4=- 1.60 x 10 -19 C. y (a) What is distance D between the origin and particle 2 if the net electrostatic force on particle 1 due to the other particles is zero? (b) If particles 3 and 4 were moved closer to the x axis but maintained their symmetry about that axis, would the required value of D be greater than, less than, or same as part (a)? d D 2 1 4