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Problem 4 (30 points) If D= (2y + 2)ax + 4.ryay + ra, C/m², find (a)...
If D (2y2+z).ax+ 4xy.ay + X.az C/m2, find: a) The volume charge density at (-1, 0, 2) b) The total charge enclosed by the cube: 0≤x≤l, 0≤y≤1, 0≤z≤1,
7.34 In free space, the magnetic flux density is (a) Show that B is a magnetic field (b) Find the magnetic flux through x-1,0 < 1,1 < z < 4. c) Calculate J (d) Determine the total magnetic flux through the surface of a cube defined by 0 x <2> 0 < y < 2, 0 < z < 2.
7.34 In free space, the magnetic flux density is (a) Show that B is a magnetic field (b) Find the...
problem 4
magnetic flux through χ-1,0 < y i, i < 2 4. Calculate s Problem 4 (10 points) In free space, A= 10 sinπ ya, + (4 + cosπ x)az wb/m. Find H and J. Problem 5 (10 points)
magnetic flux through χ-1,0
Q8) Let D = 4 zy ax - 4 y2 a, C/m2, find the flux through surface 0 <y< 2,0 <z < 2, x = 2.
Part A.) The electric flux through a spherical surface is
4.0\times 10^4~\text{N}\cdot\text{m}^2/\text{C}4.0×10 4 N⋅m 2
/C. What is the net charge enclosed by the surface?
Part B.) The electric field 10.0 cm from the surface of a copper
ball of radius 5.0 cm is directed toward the ball’s center and has
magnitude 9.0*10^2N/C. How much charge is on the surface of the
ball?
Select the correct answer
a.) 2.2*10^{-10} . b.)-1.25*10^{-10} . c.)-1.0* 10^{-9} .
d.)-4.5* 10^{-10) ....
4. (10 points) Find the solution to the wave problem Ut = c+421 +COSI, <0, t>0, with initial conditions u(1,0) = sin r, 4(1,0) = 1+I.
3 Questions Find a) The electric flux density vector: D-EVV, where s is a constant 10 pF/m. b) The electric volume charge density at any point in the region: p, = V. D = divergence of D c) The total charge enclosed by the specified region: Q ffp,dv, dv element of volume d) Find VxD and show that D is irrotational In the cylindrical region: 0srs2m, 0s0s7/2, 0szslm, the potential field Vis given by V=50 sin volts
3 Questions Find...
Problem 2: (4 points) Given the magnetic flux density B- B,(a, +a). Find the absolute value of magnetic flux crossing the region x20 and y20 of a spherical surface defined byx'+y*+-2-1
Problem 2: (4 points) Given the magnetic flux density B- B,(a, +a). Find the absolute value of magnetic flux crossing the region x20 and y20 of a spherical surface defined byx'+y*+-2-1
3 Questions Find: a) The electric flux density vector: D=-EVV, where & is a constant = 10 pF/m. b) The electric volume charge density at any point in the region: p, = V D= divergence ofD e) The total charge enclosed by the specified region: Q= fpdv, dv element of volume d) Find Vx D and show that D is irrotational. In the cylindrical region: 0srs2m, 0s0s7/2 0szslm, the potential field V is given by V=50 2 sin volts
3...
nc = 13
1. Find the charge in the volume defined by 1<r<2m, in the spherical coordinates if pv = (No cos?0)/r* (uC/mº). 2. Given that D = 7r2 a, + Nc sin 0 ag in spherical coordinates, find the charge density. 3. Find the work done in moving a point charge Q = - 20 uC from (4,2,0)m to the origin in the field E = (x/2 + 2y) ax + Nc xay (V/m). 1