Q3 A metal spherical body with the radius R is far away from the ground. It is connected with the ground by a conducted line. A point charge +q lies on the point B. The distance between the point B and the center of the metal body is d = 3R. Find the induced charge on the metal spherical surface. d=3R +4 F ig.1

Q3 A metal spherical body with the radius R is far away from the ground. It is connected with the ground by a conducted line. A point charge +q lies on the point B. The distance between the point B and the center of the metal body is d = 3R. Find the induced charge on the metal spherical surface. d=3R +4 F ig.1

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 68P: (a) What is the electric field 5.00 m from die center of the terminal of a Van de Graaff with a...

See similar textbooks

Similar questions

An electron in a TV CRT moves with a speed at 6.00107m/s, in a direction perpendicular to the Earth’s field, which has a strength of 5.00105T. (a) What strength electric field must be applied perpendicular to the Earth’s field to make the election moves in a straight line? (b) If this is done between plates separated by 1.00 cm, what is the voltage applied? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a correction.)
An electron has an initial velocity of 5.00106m/s in a uniform 2.0010m/s electric field. The field accelerates the election in the direction opposite to its initial velocity, (a) What is the direction of the electric field? (b) How far does the electron travel before coming to rest? (c) How long does it take the electron to come to rest? (d) What is the electron's velocity when it returns to its starting point?
A pluton moves in the electric field E=200iN/C . (a) What are the force on and the acceleration of the proton? (b) Do the same calculation foran electron moving in this field.
(a) Would life be different if the electron were positively charged and the proton were negatively charged? (b) Does the choice of signs have any bearing on physical and chemical interactions? Explain your answers.
Review. Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.100 kg and 0.700 kg, and uniformly distributed charges 2.00 C and 3.00 C. They are released from rest when their centers are separated by 1.00 m. (a) How fast will each be moving when they collide? (b) What If? It the spheres were conductors, would the speeds be greater or less than those calculated in part (a)? Explain.
A coaxial cable consists of a long, straight filament surrounded by a long, coaxial, cylindrical conducting shell. Assume charge Q is on the filament, zero net charge is on the shell, and the electric field is E1i at a particular point P midway between the filament and the inner surface of the shell. Next, you place the cable into a uniform external field Ei. What is the x component of the electric field at P then? (a) 0 (b) between 0 and E1 (c) E1 (d) between 0 ant E1 (e) E1
A particle having a positive charge of C experiences an upward force of 8 N when placed at a certain location in space. What is the magnitude and direction of the electric field at that point? What would be different about your answer if the particle possessed a negative charge of C?
A thin conducing plate 2.0 m on a side is given a total charge of 10.0C . (a) What is the electric field 1.0 cm above the plate? (b) What is the force on an electron at this point? (c) Repeat these calculations for a point 2.0 cm above the plate. (d) When the electron moves from 1.0 to 2.0 cm above the plate, how much work is done on it by the electric field?
A proton accelerates from rest in a uniform electric field of 640. N/C At some later time, its speed is 1.20 106 m/s. (a) Find the magnitude of the acceleration of the proton. (b) How long does it take the proton to reach this speed? (c) How far has it moved in that interval? (d) What is its kinetic energy at the later time?
Integrated Concepts (a) A 0.140-kg baseball, pitched at 40.0 m/s horizontally and perpendicular to the Earth's horizontal 5.00105T field, has a 100-nC charge on it. What distance is it deflected from its path by the magnetic force, after traveling 30.0 m horizontally? (b) Would you suggest this as a secret technique for a pitcher to throw curve balls?
The dome of a Van de Graaff generator receives a charge of 2.0 104 C. Find the strength of the electric field (a) inside the dome, (b) at the surface of the dome, assuming it has a radius of 1.0 m, and (c) 4.0 in front the center of the dome. Hint: See Section 15.5 to review properties of conductors in electrostatic equilibrium. Also, note that the points on the surface are outside a spherically symmetric charge distribution; the total charge may be considered to be located at the center of the sphere.
Review. A block having mass m and charge + Q is connected to an insulating spring having a force constant k. The block lies on a frictionless, insulating, horizontal track, and the system is immersed in a uniform electric field of magnitude E directed as shown in Figure P24.6. The block is released from rest when the spring is unstretched (at x = 0). We wish to show that the ensuing motion of the block is simple harmonic. (a) Consider the system of the block, the spring, and the electric field. Is this system isolated or nonisolated? (b) What kinds of potential energy exist within this system? (c) Call the initial configuration of the system that existing just as the block is released from rest. The final configuration is when the block momentarily comes to rest again. What is the value of x when the block comes to rest momentarily? (d) At some value of x we will call x = x0, the block has zero net force on it. What analysis model describes the particle in this situation? (c) What is the value of x0? (f) Define a new coordinate system x such that x = x x0. Show that x satisfies a differential equation for simple harmonic motion. (g) Find the period of the simple harmonic motion. (h) How does the period depend on the electric field magnitude? Figure P24.6