A solid metal sphere has a charge of -80μC and radius of 0.75 m.  What is the electric field and absolute electric potential at different distances, r, from the center of the sphere?  The + direction is away from the sphere. Include a sketch of the electric force vectors you use to set up your equations

Electrostatic precipitators use electric forces to remove pollutant particles from smoke, in particular in the smokestacks of coal-burning power plants. One form of precipitator consists of a vertical, hollow, metal cylinder with a thin wire, insulated from the cylinder, running along its axis (Figure 1). A large potential difference is established between the wire and the outer cylinder, with the wire at lower potential. This sets up a strong radial electric field directed inward. The field produces a region of ionized air near the wire. Smoke enters the precipitator at the bottom, ash and dust in it pick up electrons, and the charged pollutants are accelerated toward the outer cylinder wall by the electric field. Suppose the radius of the central wire is 90.0 pm, the radius of the cylinder is 14.0 cm, and a potential difference of 50.0 kV is established between the wire and the cylinder. Also assume that the wire and cylinder are both very long in comparison to the cylinder radius.…

a. Determine the magnitude and direction of the electric field at point P, 20 cm away from charge Q =+10µC. Work: Magnitude: N/C Direction:

A conducting spherical shell of radius R and zero thickness is held at a potential V (0) = V, sin* (0). а. Determine the potential produced by the sphere everywhere. b. Determine the electric field produced by the sphere everywhere. C. Determine the surface charge density on the sphere.

Two large metal parallel plates carry opposite charges of equal magnitude. They are separated by 45.0 mm, and the potential difference between them is 360 V. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Parallel plates and conservation of energy. What is the magnitude of the electric field (assumed to be uniform) in the region between the plates? Express your answer with the appropriate units. E- Value Submit Part B Request Answer F= Units What is the magnitude of the force this field exerts on a particle with charge +2.70 nC? Express your answer with the appropriate units. Value ? Units ?

A. Show on the drawing below the electric field, B. What is the magnitude of electric field between A and B (distance A and B d=0.03m) C. If a charge particle at point A q = 2 x 10-6 C move to point B, calculate the amount of work done by the electric field on the particle in the figure. D. Calculate the amount of force and acceleration of particle 6 V 5 V 4 V 3 V 2 V B 1V O V

a.)  Calculate the speed of a proton that is accelerated from rest through an electric potential difference of 149 V. b.) Calculate the speed of an electron that is accelerated through the same potential difference.

Two equal point charges Q = 5.61 µC are separated by a distance d = 2.00 m. (See figure.) Q A В Point A is halfway between the charges and point B is located 1.00 m to the right of the second charge. What is the magnitude of the electric field at point A? Submit Answer What is the magnitude of the electric field at point B? Submit Answer What is the electric potential at point A? Submit Answer What is the electric potential at point B? Submit Answer How much work is done in bringing a third charge of q 1.66 µC from point B to point A? %D

MY NOTES mo parallel plates having charges of equal magnitude but opposite sign are separated by 32.0 cm. Each plate has a surface charge density of 31.0 nC/m². A proton is released from rest at the positive plate. (a) Determine the magnitude of the electric field between the plates from the charge density. KN/C (b) Determine the potential difference between the plates. V (c) Determine the kinetic energy of the proton when it reaches the negative plate. J (d) Determine the speed of the proton just before it strikes the negative plate. km/s (e) Determine the acceleration of the proton. m/s2 towards the negative plate (f) Determine the force on the proton. N towards the negative plate (g) From the force, find the magnitude of the electric field. KN/C W S # 3 E D 20 R F % 5 F6 MacBook Air 6 G 7 F7 H 8 K

Two protons are maintained at a separation of 877 nm. Calculate the electric potential due to the two particles at the midpoint between them. Then, find the magnitude and direction of the electric field there. potential: magnitude of field: The direction of field is toward one of the protons. another direction. undetermined. V N/C