Two thin uniformly charged rods, each with length L and total charge +Q, are parallel and separated by a distance a. The first rod has one end at the origin and its other end on the positive y-axis. The second rod has its lower end on the positive x-axis. Determine the x-component of the differential force dF2 exerted on a small portion of the second rod, with length dy2 and position y2, by the first rod. (This requires integrating over differential portions of the first rod, parameterized by dy1.) Express your answer in terms of some or all of variables Q, L, y2, dy2, a, and the electric constant ϵ0.

Two charged particles are a distance of 1.82 m from each other. One of the particles has a charge of 6.75 nC, and the other has a charge of 4.30 nC.   (a) What is the magnitude (in N) of the electric force that one particle exerts on the other?     (b) Is the force attractive or repulsive?

Three charged particles form an equilateral triangle with side length d = 1.0 cm.   The values of the charges are: 91 = +1.0 uC 92 = +1.0 MC 93 = -4.0 MC What is the magnitude of the net force acting on 93? Express your answer to the nearest N.

The figure shows a configuration of putual charges that has the value of q1=-2e, q2=2e, q3=4e, q4=e, where e is the fundamental charge. The angle that the charge q1 makes with the negative x axis is θ1= 35.0o. Determine: a) The magnitude of the net force on the charge at the origin b) The angle of the net force on charge four

This applet helps you practice the drawing of a free body diagram for a charge experiencing electric forces fi other charges. Three charges 9₁, 92 and q3 are placed along a staright line as shown below. The charge q2 is placed halfway between q1 and q3 separated by a distance 2d. +4uC +2μC +6μС 91 = +4μC F1-2 F1-2 is the force of q₁ on 92. F3+2 is the force of q3 on q2- In the applet below, select the force vectors on q₂ due to q₁ and 93. Place the tails of the force vectors on 92 For each force, there are four choices, two specifying the directions of the forces and two specifying the magnitudes of the forces. If F1 2 > F3+2, then pick the longer vector for F₁2 and the shorter vector for F3-2, and vice-versa. How will you determine which force is greater? F1-2 d F₁ 2 d F1-2 Select the appropriate directions and relative magnitudes of F1-2 and F3-2 and place their tails on the test charge, 92. 92 = +2 μC X F3-2 93 = +6 μC F3, 12 F3-2 F3-2

hree charges are arranged as shown, where d = 16 cm and h = 10 cm. The charges areq1 = -4.0 uC, q2 = +8.0 uC, and q3 = +2.0 uC. What is the net electric force (magnitude anddirection) acting on q1?what is the direction as an angle measured relative to the +r axis, which points to the right

= Two charged particles, 9₁ and 92, are located on the x-axis, with q₁ at the origin and 92 initially at x₁ 14.1 mm. In this configuration, q₁ exerts a repulsive force of 2.62 µN on 9₂. Particle 92 is then moved to X2 17.6 mm. What is the force (magnitude and direction) that q2 exerts on q₁ at this new location? (Give the magnitude in µN.) μN magnitude direction = ---Select--- ↑

The diagram below shows four charges at the corners of a square of sides d = 2.00 m. Here, q₁ q₂ = -9 and q₂ = 2.5g, where q = 1.70 nC and q3 is located at the origin. What is the force on the fourth charge q = 3.50 nC? Assume that the +x axis is directed to the right and the +y axis is directed up. Express your answer in vector form. Do not enter units in your expression. N 92 94 93 d 9,