Two long, charged, thin-walled, concentric cylindrical shells have radii of 4.3 and 7.0 cm. The charge per unit length is 4.8 × 10-6 C/m on the inner shell and -6.4 × 10-6 C/m on the outer shell. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 6.1 cm? What are (c) E and (d) the direction at r = 12 cm?
Two long, charged, thin-walled, concentric cylindrical shells have radii of 4.3 and 7.0 cm. The charge...
Two long, charged, thin-walled, concentric cylinders have radii of 3.0 and 6.0 cm. The charge per unit length is 4.9 ✕ 10- 6 C/m on the inner shell and -8.5 ✕ 10-6 C/m on the outer shell. (a) Find the magnitude and direction of the electric field at radial distance r = 4.9 cm from the common central axis. (Take radially outward to be positive.) __________ N/C (b) Find the magnitude and direction of the electric field at r =...
Two charged concentric spherical shells have radii 11.8 cm and 14.0 cm. The charge on the inner shell is 4.81 × 10- 8 C and that on the outer shell is 2.46 × 10- 8 C. Find the electric field (a) at r = 12.7 cm and (b) at r = 22.7 cm.
Two charged concentric spherical shells have radii 10.4 cm and 16.8 cm. The charge on the inner shell is 5.63 × 10- 8 C and that on the outer shell is 1.99 × 10- 8 C. Find the electric field (a) at r = 13.9 cm and (b) at r = 38.2 cm.
A capacitor is constructed of two concentric conducting cylindrical shells. The radius of the inner cylindrical shell is 2.37 x10-3 m, and that of the outer shell is 2.47 x 10-3 m. When the cylinders carry equal and opposite charges of magnitude 2.0 x 10-10 C, the electric field between the plates has an average magnitude of 3.8 x 104 V/m and is directed radially outward from the inner shell to the outer shell. Determine (a) the magnitude of the...
Concentric Cylindrical Conducting Shells 1 An infiinitely long solid conducting cylindrical shell of radius a = 4.8 cm and negligible thickness is positioned with its symmetry axis along the z-axis as shown. The shell is charged, having a linear charge density ?inner = -0.35 ?C/m. Concentric with the shell is another cylindrical conducting shell of inner radius b = 17.1 cm, and outer radius c = 21.1 cm. This conducting shell has a linear charge density ? outer = 0.35?C/m....
Two very long concentric cylindrical shells of radii r=0.05 m and R=0.1 m are located in air. The inner shell carries a uniformly distributed positive charge of linear density 2 nC/m. The outer shell carries a uniformly distributed negative charge of linear density -2 nC/m. Apply Gauss' Law to find the expression of the electric field at a point located at a distance x from the common axis, where r<x<R. Describe the chosen Gaussian surface.
The space between two concentric conducting spherical shells of radii b = 2.20 cm and a = 1.20 cm is filled with a substance of dielectric constant κ = 24.2. A potential difference V = 50.0 V is applied across the inner and outer shells. Determine (a) the capacitance of the device, (b) the free charge q on the inner shell, and (c) the charge q induced along the surface of the inner shell.
Consider two thin, concentric conducting spherical shells with radii r1 = 0.50 m and r2 = 1.0 m. A charge of +1.0 mC is placed on the inner sphere and a charge of +2.0 mC is placed on the outer sphere. Set the potential at infinity to be 0. Determine (a) the field inside the inner sphere, (b) the charge on the inner surface of the outer conductor, (c) the magnitude of the E-field midway between the inner and outer...
The space between two concentric conducting spherical shells of radii b = 1.70 cm and a = 1.20 cm is filled with a substance of dielectric constant κ = 20.5. A potential difference V = 62.0 V is applied across the inner and outer shells. (a) Determine the capacitance of the device. (b) Determine the free charge q on the inner shell. (c) Determine the charge q' induced along the surface of the inner shell.
Two spherical shells have a common center. A -1.00 x 10^-6 C charge is spread uniformly over the inner shell, which has a radius of 0.050 m. A +6.00 x 10^-6 C charge Is spread uniformly over the outer shell, which has a radius of 0.15 m. Find the magnitude and direction of the electric field at a distance (measured from the common center) (a) 0.20 m, (b) 0.10 m, (c) 0.025 m. radially inward no direction radially outward