ring-shaped conductor with radius a = 2.50 cm has a total positive charge Q = +0.125 nC uniformly distributed around it. The center of the ring is at the origin of coordinates O. (a) What is the electric field (magnitude and direction) at point P, which is on the x-axis at x = 40.0 cm? (b) A point charge Q = -2.50 ?C is placed at point P. What are the magnitude and direction of the force exerted by the charge q on the ring?

The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.10 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.8R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.62 × 10-12 C; that on the shell is Q2 = -2.0501. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.13R₂? What are (c) E and (d) the direction at r = 5.12R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? R₂ R₁

Consider the symmetrically arranged charges in the figure, in which qa 9b = -2.45 µC and q. = qd = +2.45 µC. Determine the direction of the electric field at the location of charge q. O right up and left down and left up and right dn down left down and right Calculate the magnitude of the electric field E at the location of q given that the square is 6.35 cm on a side.

The electric field in an xy plane produced by a positively charged particle is 6.20(6.61 + 6.3) N/C at the point (4.1, 4.6) cm and 123 N/C at the point (3.8, 0) cm. What are the (a) x and (b) y coordinates of the particle? (c) What is the charge of the particle? (a) Number i Units

In the figure a thin glass rod forms a semicircle of radius r = 5.94 cm. Charge is uniformly distributed along the rod, with +q = 4.76 pc in the upper half and -q = -4.76 pC in the lower half. What is the magnitude of the electric field at P, the center of the semicircle? Number i Units + P

Charge of uniform surface density 8.11 nC/m2 is distributed over an entire xy plane; charge of uniform surface density 3.03 nC/m² is distributed over the parallel plane defined by z = 2.18 m. Determine the magnitude of the electric field at any point having a z coordinate of (a)1.29 m and (b)3.18 m. (a) Number i Units (b) Number i Units

The figure shows a hollow metal sphere with inner radius 6.70 cm and outer radius 13.5 cm and a point charge at the center. The inner surface of the hollow sphere has a total charge of 3.70 nC and the outer surface has a total charge of -15.5 nC. Calculate the magnitude electric field a distance 18.0 cm from the center of the sphere.

Points A, B, and C are at the vertices of an equilateral triangle. A certain positive charge q placed at A produces an electric field of magnitude 623 N/C at C. Suppose a second, identical charge is placed at B. What is the magnitude of the new electric field at C?

Consider a thin rod 1 meter in length that carries a non-uniform charge density lamda = .005 mC/m2 x + .001 mc/m where x is the position of a point on the rod relative to an origin placed at one end.  How much charge is on the rod?  Answer in mC.