Two charges are placed on the x axis. One of the charges (q1 = + 5.26 µC) is at x1 = +3.00 cm and the other (q2 = - 21.0 µC) is at x2 = +9.00 cm. Find the net electric field (magnitude and direction given as a plus or minus sign) at (a) x = 0 cm and (b) x = +6.00 cm. (a) Number Units (b) Number i Units

Two charges are placed on the x axis. One of the charges (91 = +7.81 μC) is at x₁ = +3.00 cm and the other (92 = -20.7 μC) is at x2 = +9.00 cm. Find the net electric field (magnitude and direction given as a plus or minus sign) at (a) x = 0 cm and (b) x = +6.00 cm. (a) Number i (b) Number i Units Units

Point charges qA = -5.9 nC is located at (0, 0) and qB = 4.0 nC is located at (2.0 m, 0). What is the magnitude of the electric field at point P (3.0 m, 0), in N/C? 1.00 nC = 1.00 × 10-9 C. Use K = 9.00 × 109 N·m2/C2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

A very thin rod made of an insulating material has a linear charge density of 41.0 nC/m. It lies along the line y=-15.0 cm, with one endpoint at x = 0 and the other at x = 40.0 cm. What is the electric field at the origin due to this rod? (Enter the magnitude in N/C and the direction in degrees counterclockwise from the +x-axis.) magnitude direction N/C counterclockwise from the +x-axis

The figure shows a section of a long, thin-walled metal tube of radius R-4.25 cm, with a charge per unit length λ = 6.91 x 108 C/m. What is the magnitude E of the electric field at radial distance (a) r- 1.48 cm and (b) r- 10.6 cm. (a) Number (b) Number i 0.0148 117339.6 Units Units m N/C or V/m.

The figure is a section of a conducting rod of radius R1 = 1.30 mm and length L = 11.60 m inside a thin-walled coaxial conducting cylindrical shell of radius R2 = 12.0R1 and the (same) length L. The net charge on the rod is Q1 = +3.64 × 10-12 C; that on the shell is Q2 = -2.08Q1. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.26R,? What are (c) E and (d) the direction at r= 5.18R¡? What is the charge on the (e) interior and (f) exterior surface of the shell? (a) Number i Units (b) Units (c) Number MacBook Pro

A charge of 14.2 nC is at 8.2 cm on the x axis, and 93.5 nC is located at -5 cm on the y-axis. What is the magnitude of the electric field at the origin, in N/C?

Two charged concentric spherical shells have radii 8.19 cm and 13.2 cm. The charge on the inner shell is 5.13 × 10- 8 C and that on the outer shell is 2.83 x 10- 8 C. Find the electric field (a) at r = 10.3 cm and (b) at r = 26.4 cm. (a) Number Units (b) Number Units

Three charged particles are at the corners of an equilateral triangle as shown in the figure below. (Let q = 2.00 μC, and L = 0.550 m.) q: 7.00 με y 60.0° L 9 - x -4.00 μC (a) Calculate the electric field at the position of charge q due to the 7.00-μC and -4.00-μC charges. Once you calculate the magnitude of the field contribution from each charge you need to add these as vectors. KN/C 1 + Does the -4.00-μC charge contribute to the y component of the field at the origin? KN/C ĵ (b) Use your answer to part (a) to determine the force on charge q. If you know the electric field at a particular point, how do you find the force that acts on a charge at that point? mN I + Check units carefully. Note that the field in part (a) is given in kN/J and the force in this part is given in mN. mNĵ x

The figure shows a section of a long, thin-walled metal tube of radius R = 4.45 cm, with a charge per unit length λ =4.55 x 108 C/m. What is the magnitude E of the electric field at radial distance (a) r-1.72 cm and (b) r= 12.0 cm. (a) Number (b) Number i Units Units