Two parallel infinite non-conducting planes lying in the xy-plane are separated by a distance d. Each plane is uniformly charged with equal but opposite surface charge densities, as shown in Figure 2. Find the electric field everywhere in space. Figure 2 Positive and negative uniformly charged planes ****
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- Question 6 := Homework. Unanswered Multiple Plates -- Two infinite, uniformly charged plates have the same magnitude of surface charge density O. They are orientated in the illustration looking down the planes. Please note that is a positive value. Place your target in a region (inside a blue circle) of net electric field that points to the RIGHT. To do this, you will have to add two constant electric field vectors produced by the Then select the region where the net field points to the RIGHT. Figure [6.24]. planes for each region. 00 -0 Undo Delete selected Remove All o O Targets placed: 0/1 You can place up to 1 targetsTwo rings of radius R-5 cm are 34 cm apart and concentric with a common vertical axis (figure below). Ring 1 carries a uniformly distributed charge Q₁ = 20 nC and ring 2 carries a uniformly distributed charge of Q₂ = -70 nC. 1 A Ring 2 Ring 1 1. Find the magnitude of the electric field E₁ created by Ring 1 at point A, halfway between the two rings. E₁ = [N/C] What is the direction of the electric 2. field E, created by Ring 1 at point A. Direction: ♦ 3. Write the expression of the electric filed E₁ created by Ring 1 at point A. E₁ = [N/C] > [N/C] 7. If vector E₁ = [N/C] and vector Ē₂ = [N/C]. Find the net electric filed Enet at point A. Ēnet = [N/C] 8. If a charge q = 5 nC is placed at location A, what would be the force on this charge? Use the answer of question 7.The figure shows three large parallel sheets carrying uniform charge densities of o1= 5.00 nC/m2, 02=10.0 nC/m2 and o3=-5.00 nC/m2. Which of the following statements is true regarding the electric field at points A, B and C? 1. The magnitude of the field is highest at point A. 2. The field vanishes (E=0) at point B. 3. The field points upwards at point A 4. The field at point C can be made larger in magnitude when the sheets become closer to each other. • A • B O2 • C O3 Answers: 1 and 2 2 and 4 4 only 3 and 4 2 and 3 Scanned with CamScanner
- A sphere of radius a is filled with a positive charge with uniform density p. Then a smaller sphere of radius a/2 is carved out leaving and empty cavity as shown in the drawing. What is the direction and magnitude of the electric field at point A? (Hint: Use superposition concepts) Select one: ρα Oa. E: = upward 360 Ob. It is not possible to calculate because there is no spherical symmetry. 2pa downward C. E: = 360 ρα O d. E= upward 660 ρα ○ e. E = downward 860 ○ f. 7pa E= upward 860Electric Field IntegralsDon't use chat gpt
- Field of discrete distributions of charges and points. A charge of 3 C is at the origin. Determine the value and direction of the electric field on the x axis, at the point: x = 5m and x = -10 m, in both cases draw E.A Conductive wire B The two conductive spherical shells A, B in the figure with internal radii a and b = 4cm, respectively, are placed at sufficiently far from each other. The two spheres are connected by a conductive wire. The charge q = +12µC was placed in the center of the left one of the initially uncharged spheres. Find surface charge densities of both spheres. ( = 3) 8ст 1 με 1 a) OA 84 cm2) , OR 1 36 \ст2, 1 b) OA ), OB = - 48 \em2. 1 96 \cm2 c) JA ), OB 60 ст? 1 με 120 \em4. d) OA 144 \cm2 1 72 \cm2 1 e) OA 216 (cm) , OB 24 (ст4ric Fields due to Point Charges An uneven dipole is located along the x-axis and centered on the origin as drawn. Its positive end has twice as much 2a 1 charge as its negative end. Each charge is located a distance a away from the origin along the x-axis. In terms of k, q, and a, find the electric field vector only at а POINT 1 and POINT 2. Your answers should be simplified 2 numerically until they are in the form: E = (0.123, -2.345), for example. -2a +29 2a
- Inner circle is yellow, outside circle is greenQuestion 1 pleaseProblem 4: who is right? Two parallel, infinite planes of charge have charge densities +20 and -o as shown in Fig. 1 They are at a distance L, from each other. Three students are asked to determine the electric field at points A and B, at a distance L above the top plane, and at a distance L below the bottom plane, respectively, as shown in the figure. Each student comes up with a different answer and a different explanation. Read carefully their statements below. The students are reminded that the electric field magnitude of an infinite plane of charge with charge density a is E = . +26 3+26 Figure 1: Two cquivalent views of the two infinite parallel planes • Student 1 draws the sketch in Fig. 2 [top] and says: "I think from the outside we can think of the two planes as a single infinite plane with charge density +20 - o =0, so then we know the electric field must be a/(2) pointing upwards at point A and also o/(2c) pointing doumwards at B". • Student 2 draws the sketch in Fig. 2…