A spherical shell in defined as having an inner radius (ri) and an outer radius (ro). The spherical shell is immersed in an environment under heat flow. The temperature distribution in the shell is;
?(?) = ?1/? + ?2 [?]
Part I Are conditions steady–state or transient?
Part II What is the heat flux (q’’) [W/m2]?
Part III What is the heating rate (q) [W]? Show your work for all three parts.
A spherical shell in defined as having an inner radius (ri) and an outer radius (ro)....
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...
2 part question? A conducting spherical shell with a cavity, has inner radius Ri and outer radius R2. The shell has a net negative charge -8.2 nC. A particle with charge +27.6 nC is placed at the center of the cavity. (a) The net charge enclosed at a point in the cavity, a distance r from the center, is: Select one: a. -8.2 nc b. 27.6 nc c. 19.40 nc d. -19.40 nc e. Onc A conducting spherical shell with...
13. A small conducting spherical shell with inner radius a and outer radius b is larger conducting shperical shell with inner radius c and outer radius d. Initially, the inner shell is given a charge +2q and the outer shell is given a charge +4q. Derive the electric field at the following locations after the shells come to equilibrium: D rca i) acreb ii) ber<c w) ic with & ire charre is uniformly distributed throughout the volume of a long...
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 a total charge of -2q and the outer shell has a total charge of +4 q. Specify magnitude and direction. (a) What is the electric field for b < r < d? (b) what is the electric field for r>d?
Natural gas is transmitted by a spherical tank with an inner radius of ri and outer radius of ro. The tank material is stainless steel that has a thermal conductivity of k. The inner surface temperature is at Tw, and the outer surface dissipating heat by convection with a heat transfer coefficient h into the ambient air at temperature T∞. a) Formulate the conduction heat transfer problem. b) Develop an expression for temperature distribution T(r) within the tank material. c)...
A conducting spherical shell with inner radius a = 0.17 m and outer radius b = 0.29 m has a positive point charge Q = 2.63 μC located at its center. The total charge on the shell is -3Q, and it is insulated from its surroundings (see figure). What is the surface charge density (magnitude and sign) on the outer surface of the conducting shell? (Give your answer in scientific notation using C/m2 as unit)
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 a total charge of -1q and the outer shell has a total charge of +3q. The total charge on the inner surface of the large shell is zero. The total charge on the inner surface of the small shell is -1q. The radial component of the electric field in the region...
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 a total charge of -2q and the outer shell has a total charge of +4q. The total charge on the outer surface of the large shell is +2q. The radial component of the electric field in the region c <r < d is given by -2q/(4nε0r2). The total charge on...
A nonconducting spherical shell, with an inner radius of 3.2 cm and an outer radius of 8.0 cm, has charge spread nonuniformly through its volume between its inner and outer surfaces. The volume charge density ρ is the charge per unit volume, with the unit coulomb per cubic meter. For this shell ρ = b/r where r is the distance in meters from the center of the shell and b = 2.5 μC/m2. What is the net charge in the...
A conducting spherical shell of inner radius and outer radius has a charge Q on it. An additional charge, also Q, is then added to the sphere. What is the resulting charge per unit area on the outer surface of the sphere?