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5. Consider a rectangular plate with one of the sides of length a lying along the...
5. Consider a long rectangular "gutter" of length a in the x direction and infi- nite...
5. Consider a long rectangular "gutter" of length a in the x direction and infi- nite height in the y direction. The gutter is infinitely long in the z direction, so the potential V inside the gutter only depends on x andy. The left (x-0,y), and right (r- a,y) sides of the gutter are grounded so that the potential V(x,y) is zero on those surfaces. The bottom surface of the gutter is kept fixed at a potential given by V(r,y-0)-...
Solve step by step, if you do not know do not answer, thanks 6. Rectangular pipe A rectangular metal pipe of length L w...
Solve step by step, if you do not know do not answer, thanks
6. Rectangular pipe A rectangular metal pipe of length L with sides (a, b) is placed along the r axis and centered at the origin. The potential on the sides V(z, y = ±a/2,2-th/2-0. The potential at x =-L/2 is Vi, the potential at x = L/2 is ½. Find potential inside the pipe
6. Rectangular pipe A rectangular metal pipe of length L with sides (a,...
Consider a unit cube with one corner at the origin and three adjacent sides lying along...
Consider a unit cube with one corner at the origin and three adjacent sides lying along the three axes of a rectangular coordinate system. Find the vectors describ- ing the diagonals of the cube. What is the angle between any pair of diagonals? 1-7.
1. Consider a rectangular plate with sides a and b of thickness t, as showen in...
1. Consider a rectangular plate with sides a and b of thickness t, as showen in Fig. P1, for the stress function 0 = px?y, where p is a constant, what will be the resultant normal bounday force Py allong the edge of the plate y = b? (a) 3pabt, (b) pat, (c) 2pabt, (d) 0, (e) none of above YA 3 4 6 4 25 6 51 MPa X a Fig. P1 Fig. P2
A rectangular plate is 18 feet below the water surface. The length of the plate is...
A rectangular plate is 18 feet below the water surface. The length of the plate is 32 ft and the width is 18 feet. Assume that the x-axis is placed at the bottom of the rectangle plate length, and the y-axis is place at the left end of the rectangle plate width. Find the Fluid Force on the plate face shown. Give the differential force: dF = Inetegrate, and give F: (give final answer, rounded to 2-decimals, followed by its...
4.7. A rectangular waveguide (presented in Chapter 13) is a hollow conducting pipe oriented along the...
4.7. A rectangular waveguide (presented in Chapter 13) is a hollow conducting pipe oriented along the z axis, with an interior cross-section enclosed by conducting planes at x = 0 and a, and y = 0 and b (see Figure 13.7 for an illustration). The transverse electric mode field, TE1, defined for (0<x<a), (0 < y <b), is given by E, = Eožcos () sin (**)ą, – Ev sin (**) cos (*) ay where E, is a constant. a) Find...
A finite rod of length L has total charge q, distributed uniformly along its length.
Potential of a Finite RodA finite rod of length L has total charge q, distributed uniformly along its length. The rod lies on the x-axis and is centered at the origin. Thus one endpoint is located at (-L/2,0), and the other is located at (L/2,0). Define the electric potential to be zero at an infinite distance away from the rod. Throughout this problem, you may use the constant k in place of the expression .a) What is VA, the electric potential...
A parallel plate capacitor has a rectangular plates of side length a and b, which are...
A parallel plate capacitor has a rectangular plates of side
length a and b, which are seperated y a distance of d. A dielectric
of relative permittivity
is placed between the plates such that in one direction, x, it
omplteley overlaps the plates (x=a) but in the orthgonal diection
it only over lps a distance y(y<b). Air still occupies the
region of the area a(b-y).
If the capacitor is maibtained with a constant charge of Q. Show
that the energy...
3) A U-shaped rod has vertical sides of length L and a horizontal base of length...
3) A U-shaped rod has vertical sides of length L and a horizontal base of length 2L as shown below. The vertical sides each have a charge per unit length of +A while the base has a charge per unit length of -. Choose a cartesian coordinate system with its origin at the center of the base and with the x- and y- axes horizontal and vertical, respectively a. Solve for the approximate electric potential at the point (0,y) where...
1. Consider a rectangular plate with sides a and b of thickness t, as showen in...
1. Consider a rectangular plate with sides a and b of thickness t, as showen in Fig. P1, for the stress function Ø = px3y, where p is a constant, what will be the resultant normal bounday force Py allong the edge of the plate y = b? (a) 3pabt, (b) pa’t, (c) 2pa’bt, (d) 0, (e) none of above YA b 3 4 6 4 2 5 6 5 1 MPa X k a Fig. P1 Fig. P2
5. Consider a long rectangular "gutter" of length a in the x direction and infi- nite height in the y direction. The gutter is infinitely long in the z direction, so the potential V inside the gutter only depends on x andy. The left (x-0,y), and right (r- a,y) sides of the gutter are grounded so that the potential V(x,y) is zero on those surfaces. The bottom surface of the gutter is kept fixed at a potential given by V(r,y-0)-...
Solve step by step, if you do not know do not answer, thanks
6. Rectangular pipe A rectangular metal pipe of length L with sides (a, b) is placed along the r axis and centered at the origin. The potential on the sides V(z, y = ±a/2,2-th/2-0. The potential at x =-L/2 is Vi, the potential at x = L/2 is ½. Find potential inside the pipe
6. Rectangular pipe A rectangular metal pipe of length L with sides (a,...
Consider a unit cube with one corner at the origin and three adjacent sides lying along the three axes of a rectangular coordinate system. Find the vectors describ- ing the diagonals of the cube. What is the angle between any pair of diagonals? 1-7.
1. Consider a rectangular plate with sides a and b of thickness t, as showen in Fig. P1, for the stress function 0 = px?y, where p is a constant, what will be the resultant normal bounday force Py allong the edge of the plate y = b? (a) 3pabt, (b) pat, (c) 2pabt, (d) 0, (e) none of above YA 3 4 6 4 25 6 51 MPa X a Fig. P1 Fig. P2
A rectangular plate is 18 feet below the water surface. The length of the plate is 32 ft and the width is 18 feet. Assume that the x-axis is placed at the bottom of the rectangle plate length, and the y-axis is place at the left end of the rectangle plate width. Find the Fluid Force on the plate face shown. Give the differential force: dF = Inetegrate, and give F: (give final answer, rounded to 2-decimals, followed by its...
4.7. A rectangular waveguide (presented in Chapter 13) is a hollow conducting pipe oriented along the z axis, with an interior cross-section enclosed by conducting planes at x = 0 and a, and y = 0 and b (see Figure 13.7 for an illustration). The transverse electric mode field, TE1, defined for (0<x<a), (0 < y <b), is given by E, = Eožcos () sin (**)ą, – Ev sin (**) cos (*) ay where E, is a constant. a) Find...
A parallel plate capacitor has a rectangular plates of side
length a and b, which are seperated y a distance of d. A dielectric
of relative permittivity
is placed between the plates such that in one direction, x, it
omplteley overlaps the plates (x=a) but in the orthgonal diection
it only over lps a distance y(y<b). Air still occupies the
region of the area a(b-y).
If the capacitor is maibtained with a constant charge of Q. Show
that the energy...
3) A U-shaped rod has vertical sides of length L and a horizontal base of length 2L as shown below. The vertical sides each have a charge per unit length of +A while the base has a charge per unit length of -. Choose a cartesian coordinate system with its origin at the center of the base and with the x- and y- axes horizontal and vertical, respectively a. Solve for the approximate electric potential at the point (0,y) where...
1. Consider a rectangular plate with sides a and b of thickness t, as showen in Fig. P1, for the stress function Ø = px3y, where p is a constant, what will be the resultant normal bounday force Py allong the edge of the plate y = b? (a) 3pabt, (b) pa’t, (c) 2pa’bt, (d) 0, (e) none of above YA b 3 4 6 4 2 5 6 5 1 MPa X k a Fig. P1 Fig. P2
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