Two semi-infinite grounded conducting planes meet at right angles. In the region between them, there is a point charge q, situated as shown in Figure 1. (a) Set up the image configuration, and calculate the potențial in this region. What charges do you need, and where should they be located? (b) What is the force on q? (c) How much did it take to bring q from infinity? y4 b a V = 0
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- The picture on the right shows a plate capacitor. You may assume that the two plates are very large compared to the separation between the plates (i.e. you may treat them as 'infinite' planes). The plates are charged to ±Q, each plate has an area of A, and the plates are separated by a distance d. The x-axis in this problem is pointing from the negative to the positive plate, with the origin at the negative plate. The electric field at point 2 has a magnitude of E. E=3000 A=1 m² d = 8 mm c. What is the electric field strength at point 1? d. What is the charge Q on the plates? ·area A IT +Q €0=8.85 x 10-12 -a X=0 e. What is the electric field strength at point 3? Part A: a. In the picture, sketch the electric field between the plates by drawing the field lines. b. Find the surface charge density n on each plate. Nm² 12 x(mm)my answer wrongProb.2. Three charges (Q1 = Q3 = 20.0nC, and Q2 = - 10.0nC) are arranged on the three %3D vertices of a triangle as shown. [a]Determine the electric potential energy (in units of UJ) of the three-charge configuration. (Example: If your answer is 4.5x10-6J = 4.5µJ, enter your answer as 4.5) 4.0cm 3.0cm- 3.0cm
- Consider the four point charges shown in the figure on the right, arranged on the edges of a square of side a.a) Find the value of Q (in terms of q), such that the electric field at the center of the square points down (i.e., it only has a –y component). Show all work and justify any assumptions you make.b) Assuming Q has the value found in part (a), find the force exerted by the four corner charges on a fifth charge −q placed at the center of the square.c) Also using the result from (a), find the electric field at point P (shown in the figure) created by the four corner charges (there is no charge at the center of the square for this part).Figure 1 shows a configuration of a flat plane and an arbitrary shape, both carrying surfacecharge density of magnitude σ. The arrows show the electric field lines. Are the statementsbelow true or false?a) The flat plane is carrying a negative surface charge density −σ and the arbitrary shape iscarrying a positive surface charge density +σ. Justify your answer.b) Both surfaces are equipotential surfaces. Justify your answer.1. Consider the four point charges shown in the figure on the right, arranged on the edges of a square of side a. a) Find the value of Q (in terms of g), such that the electric field at the center of the square points down (i.e., it only has a -y component). Show all work and justify any assumptions you -29 a a/2 make. b) Assuming Q has the value found in part (a), find the force exerted by the four corner charges on a fifth charge -q placed at the center of the square. c) Also using the result from (a), find the electric field at point P (shown in the figure) created by the four corner charges (there is no charge at the center of the square for this part).