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Question 3 [20 points) Consider a charge of value 1.0 C located as shown in the...
Question 4 (20 points) Consider a charge Q of value 1.0 °C located as shown in...
Question 4 (20 points) Consider a charge Q of value 1.0 °C located as shown in the yz plane between two orthogonal ground planes. 1 0.5 m 0 0.25 m (a) find the electric field at the point (0, -1, 1) m (b) find the electric field at the point (0, 0, 0.25) m (c) find the surface charge density at the point (0, 0.5, 0) m
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of ?, −? and...
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of ?, −? and – 3? (? > 0). Planes are distance ? apart from each other. The origin of the coordinate system was set on the first plane as shown in the figure. Planes are perpendicular to z axis. Point A is 1/2 ? away from the origin while point B and P are 2 ? and 4 ? away from the origin respectively. a) Use Gauss’s...
(problem 2)Three infinite planes of constant surface charge density have been aligned perpendicular to the x-axis,...
(problem 2)Three infinite planes of constant surface charge density have been aligned perpendicular to the x-axis, so they are all parallel to each other. Plane 1 is located at x1= - 0.3m and has surface charge density o1= +7.0 micro C/m. Plane 2 is located at x2 = 0.1m and has surface density o2= - 4.0 micro C/m. Plane 3 is located at x3 = 0.5m and has surface charge density o3= -3.0 micro C/m. (problem 3) Consider again the...
Problem 2 - Point charge and plane (20 pts) A point charge q (q>0) is located...
Problem 2 - Point charge and plane (20 pts) A point charge q (q>0) is located a distance d above an infinite conducting plane lying in the x-y plane. The plane is connected to the ground (Fig.1), so that the electric potential V at any point on the plane satisfies V=0. Calculating the electric potential generated by the point charge-grounded plane combination at any point P is more complicated than it looks because the conducting plane pulls some electric charge...
3. You have two infinite plane charge distributions (or infinite charged plates). The left one has...
3. You have two infinite plane charge distributions (or infinite charged plates). The left one has a charge density of +5 °C/m2 and the right one has a charge density of -5 uC/m2. The distance between the planes is 0.1 m. Point A is 0.025 m from the left plane, point B is 0.05 m from the left plane, and point C is 0.075 m from the left plane. + + + + + + + A C + +...
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of sigma,-sigma a and...
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of sigma,-sigma a and -3sigma (sigma > 0). Planes are distance d apart from each other. The origin of the coordinate system was set on the first plane as shown in the figure. Planes are perpendicular to z axis. Point A is 1/2 d away from the origin while point B and P are 2 d and 4 d away from the origin respectively. a) Use Gauss's law,...
Consider an infinite uniform line charge density of 3 nC/m located on the X axis in...
Consider an infinite uniform line charge density of 3 nC/m located on the X axis in fre spaee Calculate the electric field vector E of at the point P (2. 3,4) 2. (2 Marks) Calculate the electric field vector E of a uniform surface charge density of -5 nC/m2 at z-2 at the point P (1, 2, 0) in free space. (2 Marks) 3.
30% Three very large planes carrying uniform surface charge densities are located in a medium with...
30% Three very large planes carrying uniform surface charge densities are located in a medium with &r = 2 as shown in Figure 1. Draw the net electric field (E-field) due to the system. Explain what principles you used to obtain the net E-field and comment on the graph. Comment on any assumptions and approximations used. (ii) 15% Calculate the electric field strength and displacement field at the three points shown in Figure 1. 64 =-10 nC/m202 = 10 nC/m²...
3. Four dipoles, each consisting of a +20-uC charge and a -20-uC charge, are located in...
3. Four dipoles, each consisting of a +20-uC charge and a -20-uC charge, are located in the xo-plane with their centers 1.0 mm from the origin, as shown. A sphere passes through the dipoles, as shown in the figure. What is the electric flux through the sphere due to these dipoles? a. 4.5x 10 N m/c b. 0.00 N m/C 1.0mm Sphere 9.0x 10 N m/c d. 1.1 x 10 N m/c e. 8.2 10 N m/c 1.0mm 1.0mm 1.0mm...
Consider a point charge ?1 = +1.0 C sitting by itself in empty space. a. (1...
Consider a point charge ?1 = +1.0 C sitting by itself in empty space. a. (1 point) What is the electric potential energy of the charge? b. (2 points) What is the potential at some point P that is 1.0 m away? c. (2 points) What is the electric field magnitude at P? d. (2 points) A second point charge, ?2 = +2.0 C, is brought from infinity and positioned at point P. What is the potential energy of this...
Question 4 (20 points) Consider a charge Q of value 1.0 °C located as shown in the yz plane between two orthogonal ground planes. 1 0.5 m 0 0.25 m (a) find the electric field at the point (0, -1, 1) m (b) find the electric field at the point (0, 0, 0.25) m (c) find the surface charge density at the point (0, 0.5, 0) m
Problem 2 - Point charge and plane (20 pts) A point charge q (q>0) is located a distance d above an infinite conducting plane lying in the x-y plane. The plane is connected to the ground (Fig.1), so that the electric potential V at any point on the plane satisfies V=0. Calculating the electric potential generated by the point charge-grounded plane combination at any point P is more complicated than it looks because the conducting plane pulls some electric charge...
3. You have two infinite plane charge distributions (or infinite charged plates). The left one has a charge density of +5 °C/m2 and the right one has a charge density of -5 uC/m2. The distance between the planes is 0.1 m. Point A is 0.025 m from the left plane, point B is 0.05 m from the left plane, and point C is 0.075 m from the left plane. + + + + + + + A C + +...
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of sigma,-sigma a and -3sigma (sigma > 0). Planes are distance d apart from each other. The origin of the coordinate system was set on the first plane as shown in the figure. Planes are perpendicular to z axis. Point A is 1/2 d away from the origin while point B and P are 2 d and 4 d away from the origin respectively. a) Use Gauss's law,...
Consider an infinite uniform line charge density of 3 nC/m located on the X axis in fre spaee Calculate the electric field vector E of at the point P (2. 3,4) 2. (2 Marks) Calculate the electric field vector E of a uniform surface charge density of -5 nC/m2 at z-2 at the point P (1, 2, 0) in free space. (2 Marks) 3.
30% Three very large planes carrying uniform surface charge densities are located in a medium with &r = 2 as shown in Figure 1. Draw the net electric field (E-field) due to the system. Explain what principles you used to obtain the net E-field and comment on the graph. Comment on any assumptions and approximations used. (ii) 15% Calculate the electric field strength and displacement field at the three points shown in Figure 1. 64 =-10 nC/m202 = 10 nC/m²...
3. Four dipoles, each consisting of a +20-uC charge and a -20-uC charge, are located in the xo-plane with their centers 1.0 mm from the origin, as shown. A sphere passes through the dipoles, as shown in the figure. What is the electric flux through the sphere due to these dipoles? a. 4.5x 10 N m/c b. 0.00 N m/C 1.0mm Sphere 9.0x 10 N m/c d. 1.1 x 10 N m/c e. 8.2 10 N m/c 1.0mm 1.0mm 1.0mm...
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