For the configuration shown in the figure below, suppose a-5.00 cm, 6-20.0 cm, and c 25.0 om, furthermore, suppose the electric field at a point 16.5 cm from the center is measured to be 3.05 x 10 N/C radialty inward and the electric field at a point 50.0 cm from the center is of magnitude 161 N/C and points radially outward. From this information, find the following. (Include the sign of the charge in your answer.) (a) the charge on the insulating sphere Do the charges on the conducting shat affect the electriced at this point? C (b) the net charge on the hollow conducting sphere What is the total charge inside a sphere of radu 50 cm? C (c) the charge on the inner surface of the hollow conducting sphere Insolator (d) the charge on the outer surface of the hollow conducting sphere Need Help? Rof Wa

(a) Three point charges are located on the circumference of a circle of radius r, at the angles shown in the figure. 150° O 30° 270⁰ What is the electric field at the center of the circle due to these point charges? (Express your answer in vector form. Use the following as necessary: Ker q, and r.) 3k 3424 (-1) (b) What If? What is the minimum electric field magnitude that could be obtained at the center of the circle by moving one or more of the charges along the circle, with a minimum separation of 3.90° between each of the charges? Express your result as the ratio of this new electric field magnitude to the magnitude of the electric field found in part (a). Eminimum 0.0015 X Epart (a) Place the two charges +q at 0 = 270° ± y, where y is the smallest angle at which the charges do not overlap with the charge -2q, then write an expression for the electric field at the center.

There are three static charges (Q1 = 4 nC, Q2 = - 4 nCn and Q3 = - 4nC) located in different locations of Fig. 1. Calculate the net electric field at the given point P.

The figure below shows a spherical shell with uniform volume charge density ρ = 1.92 nC/m3, inner radius a = 12.0 cm, and outer radius b = 2.60a. What is the magnitude of the electric field at the following radial distances? (a)    r = 0 ___________N/C(b)    r = a/2.00 ___________N/C(c)    r = a __________N/C(d)    r = 1.50a __________N/C(e)    r = b __________N/C(f)    r = 3.00b __________N/C

(a) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in the figure below. (Enter the magnitude of the electric field only.) 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.  N/C(b) If a charge of −2.10 µC is placed at this point, what are the magnitude and direction of the force on it? magnitude      N direction

On the x-y plane, a point charge Q = –4.35E-6 C is placed at the origin (0.00 m, 0.00m). The electric field at (x,y) =  (2.40 m, 3.20 m) is measured to be Q = Ex + Ey . What is the electric field's y componentEy (in N/C)?