An electron beam shaped like a circular cylinder of radius r0 carries a charge density given by rhov = (−rho0/1 + r^2) (C/m^3),
where rho0 is a positive constant and the beam’s axis is coincident with the z axis.
(a) Determine the total charge contained in length L of the beam.
(b) If the electrons are moving in the +z direction with uniform speed u, determine the magnitude and direction of the current crossing the z-plane.

For the closed feedwater heater below, feedwater enters state 3 at a pressure of 2000 psia and temperature of 420 °f at a rate of ix10 ibhr. the feedwat extracted steam enters state 1 at a pressure of 1000 psia and enthalpy of 1500 btu/lbm. the extracted er leaves at an enthalpy of 528.7 btu/lbm steam leaves as a saturated liquid. (16) a) determine the mass flow rate of the extraction steam used to heat the feedwater (10) b) determine the terminal temperature difference of the closed feedwater heater

Asimple rankine cycle uses water as the working fluid. the water enters the turbine at 10 mpa and 480c while the condenser operates at 6 kpa. if the turbine has an isentropic efficiency of 80 percent while the pump has an isentropic efficiency of 70 percent determine the thermal efficiency

Prove the equivalence between the two statements of the 2nd law of thermodynamics (i. e., a violation of one statement leads to the violatio the other statement)