10 In Fig. 21-19, a central particle of charge -2g is +2q surrounded by a square array of charged particles, separated -79 +4q -5g -39 by either distance d or d2 along the perimeter of the square. What are the magni- +3q tude and direction of the net electrostatic force on the cen- -39 -59 tral particle due to the other particles? (Hint: Consideration of symmetry can greatly re- +4q +24 duce the amount of work re- -79 quired here.)

10 In Fig. 21-19, a central particle of charge -2g is +2q surrounded by a square array of charged particles, separated -79 +4q -5g -39 by either distance d or d2 along the perimeter of the square. What are the magni- +3q tude and direction of the net electrostatic force on the cen- -39 -59 tral particle due to the other particles? (Hint: Consideration of symmetry can greatly re- +4q +24 duce the amount of work re- -79 quired here.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 23P: A rod 14.0 cm long is uniformly charged and has a total charge of 22.0 C. Determine (a) the...

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In Fig. 21-20, a central particle of charge 2q is surrounded by a square array of charged particles, separated by either distance d or d/2 along the perimeter of the square. What are the magnitude and direc- tion of the net electrostatic force on the central particle due to the other particles? (Hint: Consideration of symmetry can greatly reduce the amount of work required here.)
An electron enters an uniformelectric field that is directeddownward and has a magnitudeof 5 N/C. Find the magnitude anddirection of the forceexperienced by the electron.
A +2.0 nCnC charge is at the origin and a -5.0 nCnCcharge is at xx = 1.4 cmcm. At what xx-coordinate could you place a proton so that it would experience no net force?
what is the magnitude and direction of the net force, Fnet, on the +2nC charge at the center of the square? Assume the four +/-9nC charges are 3cm apart and that the middle charge is at the center of the square. What is the magnitude and direction of the electric field at this point (assuming the +2nC charge at the center is removed)?
Suppose the conducting spherical shell of Figure 15.29 carries a charge of 3.00 nC and that a charge of -2.00 nC is at the center of the sphere. If a = 2.00 m and b = 2.40 m. find the electric field at (a) r = 1.50 m, (b) r = 2.20 m, and (c) r = 2.50 m. (d) What is the charge distribution on the sphere?
A spherical lubber balloon carries a total charge Q distributed uniformly over its surface. At r=0 , the radius of the balloon is R. The balloon is then slowly inflated until its radius reaches 2R at the time t0 . Determine the electric field due to this charge as a function of time (a) at the surface of the balloon, (b) at the surface of radius R, and (c) at the surface of radius 2R. Ignore any effect on the electric field due to the material of the balloon and assume that the radius increases uniformly with time.
Calculate the angular velocity of an electron orbiting a proton in the hydrogen atom, given the radius of the orbit is 0.5301010 m. You may assume that the proton is stationary and the centripetal force is supplied by Coulomb attraction.
Can you arrange the two point charges q1=2.0106C and q2=4.0106C along the x-axis so that E=0 at the origin?
Repeat the previous problem, assuming that the electric field is directed along a body diagonal of the cube.
A rod 14.0 cm long is uniformly charged and has a total charge of 22.0 C. Determine (a) the magnitude and (b) the direction of the electric field along the axis of the rod at a point 36.0 cm from its center.
A uniform electric field points to the left. Asmall metal ball charged to –2 mC hangs at a 30°angle from a string of negligible mass, as shownabove. The tension in the string is measured to be0.1 N. What is the magnitude of the electric field?
A negative point-like charge of -10 nC is placed 2.0 cm away from an infinite straight lineof charge. The electric force felt by the point charge is measured to be 36 x 10-4 N anddirected away from the line. Assuming that the line is uniformly charged, determine thecharge density of the line.