+3q y d. d +9 d -59 +5q +3q (c23p64 6e) In the figure, four charges, given in multiples of 7.00×10 6 C form the corners of a square and four more charges lie at the midpoints of the sides of the square. The distance between adjacent charges on the perimeter of the square is d = 3.60x10-2 m. What are the magnitude and direction of the electric field at the center of the square? The magnitude of E?

Calculate the magnitude and direction of the Coulomb force on each of the three charges shown in the figure below. Three charges lie along a horizontal line. A 6.00 µC positive charge is on the left. 3.00 cm to its right is a 1.50 µC positive charge. 2.00 cm to the right of the 1.50 µC charge is a −2.00 µC charge. 6.00 µC charge     magnitude      Your response differs from the correct answer by more than 10%. Double check your calculations. N 6.00 µC charge     direction            1.50 µC charge     magnitude      N 1.50 µC charge     direction            −2.00 µC charge     magnitude      N −2.00 µC charge     direction

(Figure 1) shows five electric charges. Four charges with the magnitude of the charge 2.0 nCnC form a square with the size a� = 4.0 cmcm . Positive charge with the magnitude of q� = 2.0 nCnC is placed in the center of the square.   What is the magnitude of the force on the 2.0 nCnC charge in the middle of the figure due to the four other charges?

A 40.0nC charge is placed at the origin of a coordinate system. At a point along the negative x-axis 0.750m from the origin, a -30.0nC charge is placed. A 20.0nC charge is placed 0.500m up the positive y-axis. What is the net force, magnitude and direction, on the charge at the origin due to the other two charges? (The force should be measured in Newtons and the direction should be as an angle expressed with respect to the positive x-axis.)

We have four charges, each of which has size given by some integer A, B, C, or D times q, where q=3.75E−07 C. The charges sit in a plane at the corners of a square whose sides have length d=12.5 cm as shown in the diagram below. A charge, of size Eq, is placed at the origin at the center of the square.a) Let A = 4, B = 6, C = 7, D = 8, and E = −2. Consider the charge at the center of the square, Eq. What is the net x-component of the force on this charge? b) What is the net force in the y-direction on the center charge?

Suppose there are three charges at the vertices of an equilateral triangle. Charges are q1=3 nC, q2 = -4 nC, and q3 = 2 nC. You may put the charges in any order. The length of the sides of the triangle is 1 pm. In unit vector notation find the net force on any of the charges. Note: Here nC stands for nano-Coulomb and pm stands for pico-meter. Nano means 10-9 and pico means 10-12.

Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = -3.00 nC and is at x = +4.00cm. Charge q1 is at x = +2.00cm. What is q1 (magnitude and sign) if the net force on q3 is zero?

The figure below shows three positively charged particles at three corners of a rectangle. The particle at upper left has a charge q1 = 4.00 nC, the one at the lower left has a charge of q2 = 5.00 nC,and the one at lower right has a charge q3 = 6.00 nC. The rectangle's horizontal side has length x = 5.00 cm and its vertical side has length y = 3.50 cm. Three positive charges lie at three of the corners of a rectangle of horizontal side length x and vertical side length y < x. An charge labeled q1 is at the upper left corner. A charge labeled q2 is at the lower left corner. A charge labeled q3 is at the lower right corner. (a)What is the electric potential (in V) at the upper-right corner of the rectangle? (Assume the zero of electric potential is at infinity.) ______V (b)What would be the potential (in V) at the upper-right corner if the charge q2 at lower left was−5.00 nC instead? _____V

Three equal charges, each of +4.6 pC, are spaced along a straight line. Charge A, is at one end of the line of 1.8 m from the central charge, B. Charge C is the other side of charge B a distance of 2.2 m from charge B. What is the magnitude and direction of the total force on each charge?

Two equal charges are situated on the x axis at 40.0 cm on either side of the origin as shown in the figure below. Location A is on the perpendicular bisector at a distance of 33.0 cm from the origin on the y axis. (Assume that the +x axis is directed to the right and the +y axis is directed up.) *A 92 (a) If q, = -4.00 µC and q, = -4.00 µc, what is the net electric fleld due to both charges at location A? Express your answer in vector form. Eret = 0 Did you consider the symmetry of the situation? What is the net contribution to the field from the x components of the field from each charge? N/C (b) If q, = 49, (where q, = -4.00 uC), what is the net electric field location A due to both charges? Express your answer in vector form. Enet = N/C Additional Materlals