Homework Answers
ASAP please 5. Question 4.22 Given the electric flux density D= x2(x + y) +9(3x –...
ASAP please
5. Question 4.22 Given the electric flux density D= x2(x + y) +9(3x – 2y) 2 Determine the following: a. Pv by applying Eq. (4.26). b. The total charge enclosed in a cube 2 m on a side, located in the first octant with three of its sides coincident with the x-y-and z axes and one of its corners at the origin. c. The total charge Q in the cube, obtained by applying Eq. (4.29). (This can be...
6.a) Let -2 5 -6 10 ), 2) an Evaluate the matrix 8 marks) b) Find the area enclosed between the following curves and sketch the region. 5x2-2. f(x)--3x2 + 30 and g(x) marks) c) Evaluate the follow...
6.a) Let -2 5 -6 10 ), 2) an Evaluate the matrix 8 marks) b) Find the area enclosed between the following curves and sketch the region. 5x2-2. f(x)--3x2 + 30 and g(x) marks) c) Evaluate the following integrals. Give your answers to 2 decimal places. dac i) 2 (3+2 dx. (8 marks) [25 marks]
6.a) Let -2 5 -6 10 ), 2) an Evaluate the matrix 8 marks) b) Find the area enclosed between the following curves and sketch...
Question 5 (20 marks) a) [10 marks] Evaluate: 1 el-X Vx+y(y – 2x)2 dydx. 0 Jo...
Question 5 (20 marks) a) [10 marks] Evaluate: 1 el-X Vx+y(y – 2x)2 dydx. 0 Jo (Hint: consider a change of variable.) b) [10 marks) Find the volume of the solid bounded by the sphere x2 + y2 + z2 = aand the cylinder x2 + y2 = ax, a > 0.
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface char...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
PpsMDb Youlube M Inbox- navee Question 1 6 marks he points A(a,b) and C(c,d) are the opposite ver...
ppsMDb Youlube M Inbox- navee Question 1 6 marks he points A(a,b) and C(c,d) are the opposite vertices of square ABCD in the Cartesian plane What are the coordinates of the other two vertices? Be sure to cover all cases of where A and C could bel (a) 4 marks (b) What is the area of the square ABCD? 2 marks P A(ab) (Hint: you may find the following construction useful. Calculate both p+q and p-q) C(c,d) g Minh Pham...
Flag question a) Two point charges of 40 C each, located in the x-y plane at...
Flag question a) Two point charges of 40 C each, located in the x-y plane at (1,1,0) and (-1,-1,0) respectively. to = 8.85 x 10-12 F/m. V = 4RER i) Sketch this configuration in Cartesian coordinates 12 marks] (8 marks] ii) Determine the electric field at a point 3 m on the z-axis. Q [17 marks) iii) Find the electric potential at any point Palong the x-axis. (5 marks] iv) Evaluate Vat x = 1. [2 marks] b) A thin...
Question 8 2 pts An electric field given by E = 2x y2 i + yx?j...
Question 8 2 pts An electric field given by E = 2x y2 i + yx?j + 3 zy? k pierces the Gaussian cube shown below. How much charge, in nC, is enclosed in the cube? (E is in N/C,,y and zin meters). Take En = 8.85 x 10-12 C2/Nm2. y (1,3,0) (4,3,0) (1,3,3) (4, 3, 3) (4,0,0) x (1,0,3) (4,0.3) Equations: I enclosed =o total +0 left +0 from bottom top back right E = 8.85 x 10-12 Nm...
[25 points total] Tutorial question. For the following context, assume units (m for length, C for...
[25 points total] Tutorial question. For the following context, assume units (m for length, C for charge) A. Consider the charge distribution at right. The two straight rods each 4 have variable linear charge density Jeye, whichare located at x-1 and -1 spanning from y- 1 to 3. The curved rod makes a circular arc of radius 2 from the origin, has variable linear charge density Amouth. Take a as the angle clockwise from the x-axis суо 4 i. [5...
Help with question 2 1. what is the electric field at the centre (r = 0)...
Help with question 2
1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density....
4.35 please (a) Find the net flux crossing surface r = 2 m and (b) Determine...
4.35 please
(a) Find the net flux crossing surface r = 2 m and (b) Determine D atr Im and r 5 m 6 m. 4.34 A spherical region of radius a has total charge Q If the charge is uniformly distributed apply Gauss's law to find D both inside and outside the sphere Sections 4.7 and 4.8 Electric Potential and Relationship with iE 4.353) Two point charges Q 2 nC and Q-4nC are located at (1. 0. 3) and...
ASAP please
5. Question 4.22 Given the electric flux density D= x2(x + y) +9(3x – 2y) 2 Determine the following: a. Pv by applying Eq. (4.26). b. The total charge enclosed in a cube 2 m on a side, located in the first octant with three of its sides coincident with the x-y-and z axes and one of its corners at the origin. c. The total charge Q in the cube, obtained by applying Eq. (4.29). (This can be...
6.a) Let -2 5 -6 10 ), 2) an Evaluate the matrix 8 marks) b) Find the area enclosed between the following curves and sketch the region. 5x2-2. f(x)--3x2 + 30 and g(x) marks) c) Evaluate the following integrals. Give your answers to 2 decimal places. dac i) 2 (3+2 dx. (8 marks) [25 marks]
6.a) Let -2 5 -6 10 ), 2) an Evaluate the matrix 8 marks) b) Find the area enclosed between the following curves and sketch...
Question 5 (20 marks) a) [10 marks] Evaluate: 1 el-X Vx+y(y – 2x)2 dydx. 0 Jo (Hint: consider a change of variable.) b) [10 marks) Find the volume of the solid bounded by the sphere x2 + y2 + z2 = aand the cylinder x2 + y2 = ax, a > 0.
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
ppsMDb Youlube M Inbox- navee Question 1 6 marks he points A(a,b) and C(c,d) are the opposite vertices of square ABCD in the Cartesian plane What are the coordinates of the other two vertices? Be sure to cover all cases of where A and C could bel (a) 4 marks (b) What is the area of the square ABCD? 2 marks P A(ab) (Hint: you may find the following construction useful. Calculate both p+q and p-q) C(c,d) g Minh Pham...
Flag question a) Two point charges of 40 C each, located in the x-y plane at (1,1,0) and (-1,-1,0) respectively. to = 8.85 x 10-12 F/m. V = 4RER i) Sketch this configuration in Cartesian coordinates 12 marks] (8 marks] ii) Determine the electric field at a point 3 m on the z-axis. Q [17 marks) iii) Find the electric potential at any point Palong the x-axis. (5 marks] iv) Evaluate Vat x = 1. [2 marks] b) A thin...
Question 8 2 pts An electric field given by E = 2x y2 i + yx?j + 3 zy? k pierces the Gaussian cube shown below. How much charge, in nC, is enclosed in the cube? (E is in N/C,,y and zin meters). Take En = 8.85 x 10-12 C2/Nm2. y (1,3,0) (4,3,0) (1,3,3) (4, 3, 3) (4,0,0) x (1,0,3) (4,0.3) Equations: I enclosed =o total +0 left +0 from bottom top back right E = 8.85 x 10-12 Nm...
[25 points total] Tutorial question. For the following context, assume units (m for length, C for charge) A. Consider the charge distribution at right. The two straight rods each 4 have variable linear charge density Jeye, whichare located at x-1 and -1 spanning from y- 1 to 3. The curved rod makes a circular arc of radius 2 from the origin, has variable linear charge density Amouth. Take a as the angle clockwise from the x-axis суо 4 i. [5...
Help with question 2
1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density....
4.35 please
(a) Find the net flux crossing surface r = 2 m and (b) Determine D atr Im and r 5 m 6 m. 4.34 A spherical region of radius a has total charge Q If the charge is uniformly distributed apply Gauss's law to find D both inside and outside the sphere Sections 4.7 and 4.8 Electric Potential and Relationship with iE 4.353) Two point charges Q 2 nC and Q-4nC are located at (1. 0. 3) and...
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