The unit normal rector of the point a the Surface g seh+g'+2 l is ? the ellipsoid
Q: Check Gauss's theorem on a sphere of radius R using the following vector 1 i = 4Tr2 You'll get a…
A:
Q: how do you solve the trig relation to get the angle
A:
Q: A Lambertian source of radiance 10 W /m² sr is made in the shape of a ring. What is the irradiance…
A: Given, Lambertian source of radiance= 10 W/m2 srθin= arc sin 0.25θout= arc sin0.5
Q: Determine the second moment of area for the quar- ter circle shown in Fig. with respect to An axis…
A: The moment of area for the full circle around the centroidal axis can be given by, IXX = IYY =…
Q: 1. We define the raising/lowering operators L, = L, ± iL,, where Lyiz are angular momen- tum…
A:
Q: You have been asked by the police to find one of the three locations the Acute Perps gang is likely…
A: The coordinates for the given triangle areA(6,3), B(6,-3) and C(-2,-3), respectively.Let us…
Q: Evaluate the surface integral /| (2xzdydz + ydzdx + z?dxdy) where S is a closed surface, given by S:…
A: Given:I = ∯S 2 xz dy dz + y x dx dz+…
Q: 4. Evaluate the surface integral [[ f dS where, = xz and E is the boundary of the region D in R3…
A:
Q: The solution gets cutoff. How can I see the rest?
A:
Q: Draw the reciprocal lattice and the ewald sphere where the lattice is a=4Å and its wavelength…
A: To draw the reciprocal lattice and Ewald sphere…
Q: Evaluate [[ F · ndS (i.e., find the flux of F across S) where F(x, y, z)=-y, x, z² > and S is the…
A: Given F→ = -yx^ + xy^ + z2k^ x2 + y2 + z2 = 4 as the hemisphere is oriented in the direction of the…
Q: The co-energy of a device is given as W= What is the flux linkage A when i = 0.84 A and z = 0.29…
A: Given:co energy, Wm' = i64xi = 0.84 Ax = 0.29 cm = 2.9×10-3 mAsked:flux linkage, λ = ?electric…
Q: Completing the square Evaluate the following integrals.
A:
Step by step
Solved in 3 steps with 3 images
- Calc 3 - Stokes parts a and bConsider the special shape pictured in the diagram below. It is a cylinder, centered on the origin with its axis oriented along z, and it has been partially hollowed to leave two cone-shaped cavities at the top and bottom of the cylinder. The radius of the object is a, its height is 2a, and the solid part of the object (the shaded region that is visible in the rightmost panel of the illustration above, which shows a drawing of the cross-section of the object) has a uniform volume charge density of po. Assume that the object is spinning counter clockwise about its cylinder axis at an angular frequency of w. Which of the following operations is part of the calculation of the magnitude of the current density that is associated with the motion of the rotating object as a function of r (select all that apply)?Consider the following electric fields: a) E(z,t)= î sin(@t + kz)+ ŷ cos(@t + kz) b) E(z,t)= Re[(1+ j)î+(1- j)ŷ]ex-kz) c) E(z,t)= Re V3£ – îJe(ex-kz) For each of the above electric fields, determine the polarization of the wave (linear, left/right circular/elliptical, polarization angle) and the direction of wave propagation.
- Let C be the region between the circles x² + y² = 1 and x² + y² = 4. Let 2 2 2 F(x, y) = (²3³-²3V², 30³² Compute the circulation across C. Flux = y³, x³ - 3x²Thesurfaces p=3,p=5,q=100°,9=130°,z-3, and z-4.5 define a closed surface. Find (a) the enclosed volume; (b) the total area of the enclosing surface; (c) the total length of the twelve edges of the surfaces; (d) the length of the longest straight line that lies entirely within the volume.(a) Consider the function x2 + y? – 22 f (x, y, z) = arctan z + 1 Determine the domain and range of f. (b) Suppose we have a function z(x, y) defined implicitly near the point (1, 0, 1) via the equa- tion x³y + y°z+ z°x = 0. %3D Find (1,0). dxðy