A point charge q sits at the origin and a point charge -4q is located at...

Question

Question

A point charge q sits at the origin and a point charge -4q is located at (x; y; z) = (d; d;-d), where d is some arbitrary

unit of length. Determine the location (not infinitely far away) at which the electric field vanishes.

Answer 1

Answer #1

Let us consider the point P at which the net electric field is zero. The electric field at the point P due to charge q is, Th

Therefore, And, Therefore, And, From equation (1) 3./2 Comparing equation (2) and (3)

64 m3 = m Now 3 A: 2x = d-x al And, -d 3 5 3 Hence, the point at which the net electric field is zero is | x, y,

Answer 2

Similar Homework Help Questions

2. A point charge q sits at the origin and a point charge 4q is located...

2. A point charge q sits at the origin and a point charge 4q is located at (r, y, z) (d, d,-d), where d is some arbitrary unit of length. Determine the location (not infinitely far away) at which the electric field vanishes. 3. Three point charges q, 24, and -3q are placed at the corners of an equilateral triangle of side length L as shown in the figure below: 2q 3q a) What is the total force on the...
2. A point charge q sits at the origin and a point charge -4 is located...

2. A point charge q sits at the origin and a point charge -4 is located at (, y, z) (d,d,-d), where d is some arbitrary unit of length. Determine the location (not infinitely far away) at which the electric field vanishes.
1. A point charge +Q is located at the origin, and a point charge -Q is...

1. A point charge +Q is located at the origin, and a point charge -Q is located at (x,y) = (0,L). (a) Find the electric field at point P, which is a distance L away from both +Q and -Q, as shown in the diagram. Express your answer in unit vector notation using the coordinate system given. (b) A point charge -2Q is placed at point P. Find the Coulomb force on the charge -2Q due to the other two...

A point charge -q is located at the origin. The point charge is surrounded by a...

A point charge -q is located at the origin. The point charge is surrounded by a ring with uniform line charge density λ and radius a. The charged ring sits in the x-y plane and is centered on the origin. a) Calculate the electric potential along the z-axis using a reference point at ∞ using Coulomb’s law for V. (i.e. do not find the electric field first.) b) Use E = −∇V to calculate the electric field along the z-axis....
Problem 4 A point charge -q is located at the origin. The point charge is surrounded...

Problem 4 A point charge -q is located at the origin. The point charge is surrounded by a ring with uniform line charge density and radius a. The charged ring sits in the x-y plane and is centered on the origin. a) Calculate the electric potential along the z-axis using a reference point at o using Coulomb's law for V. (i.e. do not find the electric field first.) b) Use E= -VV to calculate the electric field along the z-axis....
A charge is located at the origin... A charge, q,-79.7 nC is located at the origin...

A charge is located at the origin... A charge, q,-79.7 nC is located at the origin (z 0, y = 0), a second charge, q2 146 nC is located on the x-axis at (x 4 m, y 0 m), and a third charge, 93--20.5 nC is located on the y- axis at (0 m, y 4 m). Calculate the magnitude of the electric field at the location marked by the letter "X" on the figure below (x-4 m, y =...

A) A point charge 2Q is placed at the origin and a point charge -Q is...

A) A point charge 2Q is placed at the origin and a point charge -Q is placed at position +D on the x-axis. (a) At what point on the x-axis is the electric field due to these charges equal to zero? o? (c) If another point charge equal to -2Q is brought from infinitely far away, and placed at the point identified in part (b), what is the change of the total potential energy for the system in the process...
A doubly ionized carbon atom (with charge 2e) is located at the origin of the x...

A doubly ionized carbon atom (with charge 2e) is located at the origin of the x axis, and an electron (with charge -e) is placed at x = 9.51 cm. There is one location along the x axis at which the electric field is zero. Give the x coordinate of this point in cm. ................. cm Assume that the potential is defined to be zero infinitely far away from the particles. Unlike the electric field, the potential will be zero...
Constants 1 Periodic Table Part A A charge q 4.11 x 10-C is placed at the...

Constants 1 Periodic Table Part A A charge q 4.11 x 10-C is placed at the origin, and a second charge equal to -3q is placed on the a axis at the location z-3.00 m. The electric potential vanishes at some point between the charges; that is, for s the electric potential positive, negative, or zero at the point z 0.750 m value of z 0.750 m Suppose the charge -3q at z- 3.00 m is replaced with a charge-4q,...

A charge, q 66.8 nC is located at the origin 0,y0), a second charge, q2 121...

A charge, q 66.8 nC is located at the origin 0,y0), a second charge, q2 121 nC is located on the x-axis at (z 4m,y 0m) and a third charge, 93-38.5 nC is located on the y-axis at ( 0 m, y- 4 m). Calculate the magnitude of the electric field at the location marked by the letter "X" on the figure below 4 2 A positive charge, 3.58nC, is located at the origin ( 0 m, y 0m). A...