The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.70 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.2R₁ and the (same) length L. The net charge on the rod is Q₁ +3.63 x 10-12 C; that on the shell is Q₂ = -2.27Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.19R2? What are (c) E and (d) the direction at r = 5.22R₁? What is the charge on the (e) interior and (f) exterior surface of the shell?

A thin cylindrical shell of radius R₁ = 4.5 cm is surrounded by a second cylindrical shell of radius R₂ = 9.5 cm, as in ( Figure 1). Both cylinders are 15 m long and the inner one carries a total charge Q₁ = -0.68 nC and the outer one Q2 = +1.56 nC. Figure RR R₂ 1 of 1 Part A If an electron (m = 9.1 x 10-31 kg) escaped from the surface of the inner cylinder with negligible speed, what would be its speed when it reached the outer cylinder? Express your answers with the appropriate units. Ve= Submit Part B Up = Submit Value 0 μÅ If a proton (m = 1.67 x 10-27 kg) revolves in a circular orbit of radius R = 7.0 cm about the axis (i.e., between the cylinders), what must be its speed? Express your answers with the appropriate units. Request Answer Provide Feedback ī μA Value Units Request Answer wwww ? Units ?

A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 3?. A second such plate located at z = 2.40 cm and oriented parallel to the xy-plane carries a charge per unit area of −2?. Find the electric field for the following. (a) when z<0   (b) when  0 < z < 2.40 cm (c) when z > 2.40 cm

In Fig. 1, a thin glass rod forms a semicircle of radius r= 10.00 cm. Charge is uniformly distributed along the rod, with q = 20.00 mC in the upper half and q=-20.00 mC in the lower half. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the electric field at P, the center of the semicircle fig.1 +q P -9

What is the magnitude of the electric field produced by a charge of magnitude 4.70 μCμC at a distance of (a) 1.00 mm and (b) 3.00 mm?

= The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.80 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 13.0R₁ and the (same) length L. The net charge on the rod is -12 Q₁ +3.46 × 10 C; that on the shell is Q₂ = -2.21Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.17R₂? What are (c) E and (d) the direction at r= 5.06R₁? What is the charge on the (e) interior and (f) exterior surface of the shell?

18. 6.0 m and total charge Q = 120 µC distributed uniformly along the length 8. Figure 5 shows a thin rod of length L of the rod. By direct integration, find the magnitude of the electric field at the point P in the figure. (s) Integral Figure 5 Call on X-axis no pat L/3 2 m 120ML. L L/2 3n a

Four solid plastic cylinders all have radius 2.55 cm and length 6.48 cm. Find the charge of each cylinder given the following additional information about each one. Cylinder (a) carries charge with uniform density 15.8 nC/m² everywhere on its surface. Cylinder (b) carries charge with uniform density 15.8 nC/m² on its curved lateral surface only. Cylinder (c) carries charge with uniform density 525 nC/m3 throughout the plastic. Cylinder (d) carries charge with uniform linear density 54.2 nC/m along the length of the plastic.