2.5. Four equal point charges of 3.0 μC are held in place at the four corners of a square that is 4.0 mm on a side. These are the only charges in the region. (a) Explain clearly why the electric field at the center of the square will be zero if two of the charges, diagonally opposite each other, are positive, and the other two are negative. (b) Find the magnitude and direction of the electric field at the center if two charges on one side of the square are positive and the other two are negative. You will need to make sure to describe the arrangement of the charges in your coordinate system in order to correctly convey the direction of the field.

2.5. Four equal point charges of 3.0 μC are held in place at the four corners of a square that is 4.0 mm on a side. These are the only charges in the region. (a) Explain clearly why the electric field at the center of the square will be zero if two of the charges, diagonally opposite each other, are positive, and the other two are negative. (b) Find the magnitude and direction of the electric field at the center if two charges on one side of the square are positive and the other two are negative. You will need to make sure to describe the arrangement of the charges in your coordinate system in order to correctly convey the direction of the field.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter23: Electric Forces

Section: Chapter Questions

Problem 29PQ: Two particles with charges q1 and q2 are separated by a distance d, and each exerts an electric...

See similar textbooks

Similar questions

Two particles with charges q1 and q2 are separated by a distance d, and each exerts an electric force on the other with magnitude FE. a. In terms of these quantities, what separation distance would cause the magnitude of the electric force to be halved? b. In terms of these quantities, what separation distance would cause the magnitude of the electric force to be doubled?
Sketch the electric field lines in the vicinity of two opposite charges, where the negative charge is three times greater in magnitude than the positive. (See Figure 1S.47 for a similar situation).
A circular ring of charge of radius b has a total charge q uniformly distributed around it. Find the magnitude of the electric field in the center of the ring. (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) None of these answers is correct.
The charge unit length on the thin shown below is .What is the force on the point charge q? Solve this problem by first considering the electric force dF on q due to a small segment dx of the rod, which contains charge dx . Then, find the net force by integrating dF over the length of the rod.
Consider the symmetrically arranged charges in the figure, in which Qa=Qb=−1.95 μC and Qc=Qd=+1.95 μC. Determine the direction of the electric field at the location of charge q . Calculate the magnitude of the electric field E at the location of q given that the square is 6.75 cm on a side.
Compute the electric field experienced by a test charge q = + 0.80 µC from a source charge q = + 15 µC in a vacuum when the test charge is placed 0.20 m away from the other charge.
What is the magnitude of the electric field 1 inch from a component that has a charge of 0.22 muC? Report your answer rounded to the nearest N/C
A small charge q = 6.0 C is found in a uniform electric field of 3.9 N/C. Determine the force on the charge? Find the electric field acting on a 4.0 C charge if an electrostatic force of 20000 N acts on the particle? What s the magnitude and direction of the electric field at .25m from a -5.6 x10^-6 C point charge? An electric dipole consist of two equal but unlike charges separated by distance. Two point charge, q1 = 4.5 x 10 ^-6 C and q2= -4.5 x 10^-6 C, are separated by 6.4 x 10 ^-2 m, forming an electric dipole as shown in the figure. Find electric field halfway between the dipole. An indefinite article, "an" is use before a vowel sound, "a" otherwise More (Definitions, Synonyms, Translation)
In a physics experiment, we place three charges at the corners of an equilateral triangle, where q1 = 2.75 μC, q2= - 3.45 μC, and q3 = 3.25 μC. If I were to measure the electric field right between charges q1 and q2, what would I find?
A charge of +8.35mC is placed in a region where an electric field is present. If the magnitude of the electric field is 869.8 N/C, what is the magnitude of the electric force on this charge in units of Newtons?
The figure below shows the three charges placed in a circular arc. If q = 4.2 nC, Q = -4.3 nC, r = 3 cm and θ = 27 degrees, find the magnitude of the total electric field at point P.
Four equal charges of 2.0x10^6 C are situated at the corners of a square of side 1.00 m. What is the electric field at the center of the square?