1. An open, cylindrical paint can, has a diameter D which is filled to a depth h with paint havin...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
1. Suppose that Alex must produce his own cereal, using inputs of raw materials obtained from his parent's food storage (S) and labor provided by Alex's cook- ing skills (L). Production of cereal is given by Fc(LS)-L0.5S0.5. Further. suppose Alex has a utility function Ua(ca,Ca) c505, where ca is his consump- tion of cereal and la is the amount of leisure he enjoys. He has no endowment of cereal, but is endowed with 120 hours of time (which can be...