We have a tube made of carbon atoms. We know that the inner radius is half the value of the outer radius.
If the specific surface is 100 m^2 / gram , what are the values of the inner and outer radii ?
inner radius r, outer radius 2r
surface area=
volume =
density of carbon is around 2 gm/cc
We have a tube made of carbon atoms. We know that the inner radius is half...
Consider a nanotube made of carbon atoms. What value do the inner and outer radius have if : - The specific surface area is 230 m²/g. - The outer radius is twice the inner radius. - The tubes are open so that the area is the sum of the inner and outer surfaces.
3.21 Consider a hollow sphere with an inner radius of 5cm and outer radius of 6cm. The inner surface is kept at 100°C, and the outer surface at 50°C. Determine the heat loss from the sphere if it is made of pure copper [k=387W/m.°C), pure aluminum [k=200W/m.°C), and pure iron [k=62W/m.°C]. Answer: 72.95kW, 37.7kW, 11.69kW
1. (5 points) A semi-annulus with inner radius rı and outer radius r2 is placed on the ry plane at z 0, with centre of the radii at the origin, sllustrated. The half-annulus has a uniform surface charge density ơ r 2 a) Find the potential V at the origin. b) Find E at the origin. (Can you use the result of a) to get E?)
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a, b < r < c, and r > d. Note...
Water at m = 0.025 kg/s and Zn,i = 20°C enters an annular region formed by an inner tube of diameter D, = 20 mm and an outer tube of diameter Do-80 mm. Saturated steam flows through the inner tube, maintaining its surface at uniform temperature of T,i 100°C, while the outer surface of the outer tube is well insulated. If fully developed conditions may be assumed throughout the annulus, how long must the system be to provide an outlet...
Suppose that we have an axon that is 10 cm long, with an inner radius r1 of 1 μm and outer radius r2 = r1+ 1nm = 1 μm + 1nm. In this exercise, you may use a dielectric constant for cellular fluid of κ = 3. Write an expression for the magnitude of the Electric Field, “E” outside (at an arbitrary radius r) for a uniformly charged cylinder of length “l” with charge “q”: This cylinder is in a...
The figure shows a hallow metal sphere with inner radius 2.10 cm and outer radius 13.1 cm and a point charge at the center. The inner surface of the hollow sphere has a total charge of 8.70 nC and the outer surface has a total charge of-22-9 nc Calculate the value of the charge at the center of the metal sphere. Answer Calculate the magn tude electric field a distance 24.0 cm from the center of the sphere Answer: fthe...
We want to design a spherical vacuum capacitor, formed by an inner spherical conductor with radius b and an outer spherical shell of given radius a. We want to design a spherical vacuum capacitor, formed by an inner spherical conductor with radius b and an outer spherical shell of given radius a. We want the capacitor to be able to store the greatest amount of electrical energy subject to the constraint that the electric field strength at the surface of...
1.A hollow spherical shell has an inner radius r1 and outer radius r2. It is made of a material with density ?. Find the equation for its mass in terms of these three variables. 2.As we will learn, kinetic energy (K) has units kg•m2/s2. If we represent the mass of an object with m and its speed with v, we can write the kinetic energy as K = Ambv c, where A is a unitless constant. (a) What must the...
to A very long cylindrical shell of inner radius a and outer radius 2a is made of a conducting material of conductivity o= kr, where k is a constant and r is measured perpendicularly from the axis of the shell. A potential difference AV is applied across the inner and outer surfaces of the shell, with the inner surface at the higher potential. (a) What is the resistance dR per unit length of the cylinder, for a thin cylindrical shell...