E Question Help 15.8.4 The picture to the right shows the flow of fluid in a long cylindrical pipe. The vectors v (a2 -2) k inside the cylinder that have their bases in the y-plane have their tip...
Question Help 15.8.4 The picture to the right shows the flow of fluid in a long cylindrical pipe. The vectors v= (a2-P) k inside the cylinder that have their bases in the xy-plane have their tips on the paraboloid z = a2-f. Find the divergence of the velocity field when a = 7 2 +y a The divergence is 1. (Simplify your answer.) Question Help 15.8.4 The picture to the right shows the flow of fluid in a long cylindrical...
10. Use Gauss Divergence Theorem to find the flux for a flow field with v-(r')i+(y3)/t(e)k through the surface of a solid constructed by slicing the cylinder + y 9 with the plane x+z-5.Clearly construct the triple integral of the order dz dy dx but you do not need to evaluate it x+z-5 10. Use Gauss Divergence Theorem to find the flux for a flow field with v-(r')i+(y3)/t(e)k through the surface of a solid constructed by slicing the cylinder + y...
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...