Consider a shell of internal radius R and outer radius 2R. In the shell, there is some charge uniformely distributed with density p. Calculate the potential difference between the center of the shell, call it A, and a point B on the outer surface of the shell. Edit View Insert Format Tools Table
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- (a) Would life be different if the electron were positively charged and the proton were negatively charged? (b) Does the choice of signs have any bearing on physical and chemical interactions? Explain your answers.Observation Point Figure 2. The geometry of the problem 3 In Figure 2, the constant charge density distribution po (C/m²) is defined on the surface located at x – y plane. In the question, the parts of a ring are given. Here, a is the inner radius and b is the outer radius. Dielectric permittivity of the space is eg. Hint: The ring pieces are located at x - y plane and each of them is scanning 20, angle in the space. a) Find the electric field at an any point located at (0,0,z). Do not forget that Electric Field is a vector.) b) By taking the limit cases, find the electric field at the same point (0,0,z) for the following figures. In the following figures, the top views are given. No need to show all steps, just give the final answers. Hint: No need to do everything from beginning. Just try to take the limits or change the boundaries of the integral. c) Verify the last figure (Infinite Sheet) with Gauss' Law. i. Ring Shape iii. Bow - Tie Shape ii. iv. Disk Shape Infinite Sheet b 200PROBLEM 3 Find / Derive the equation for the capacitance of a spherical capacitor consisting a spherical conducting shell of radius "b" and charge - Q concentric with a smaller conducting sphere radius "a" and charge Q. Draw the figure. of
- Problem 3 A capacitor is constructed using concentric conducting spheres. The inner sphere has radius a, the outer sphere (a thin-walled shell) has radius b. (a) Show that the capacitance is ab k(b-a) when the space between the inner and outer spheres is empty. Start with our result from Gauss's law for the field outside a spherical charge distribution - you do not have to re-derive that, but please DO derive the potential difference between the spheres. PHY 205 Homework 6. Due March 1, 2023 3 (b) What is the capacitance if a = 0.1 m and b = 0.103 m? (c) What would the capacitance be if we filled the gap with Aluminum Oxide (and again, make a = 0.1 m and b = 0.103)? (d) Consider the limit when a and b are approximately equal (the shell wall is extremely thin.) What happens to the capacitance, mathematically? What is a physics explanation for this?Const A point charge q1 = 4.05 nC is placed at the origin, and a second point charge q2 = -2.90 nC is placed on the z-axis at z= +21.0 cm. A third point charge q3 = 2.10 nC is to be placed on the r-axis between q1 and q2. (Take as zero the potential energy of the three charges when they are infinitely far apart.) %3D Part A What is the potential energy of the system of the three charges if q3 is placed at r = + 10.0 cm? %3D Express your answer in joules. U = JPart F Aspherical capacitor has vacuum between its conducting shells and a capacitance of 125 pF. The outer shell has inner radius 9.00 cm. What is the outer radius of the inner shell? Express your answer with the appropriate units. Rout = Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Your answer implies that the radius of the inner shell is greater than the radius of the outer shell. Is this possible? Check your signs. Part G If the potential of the inner shell is 355 V higher than the potential of the outer shell, what is the capacitor charge? Express your answer with the appropriate units. HẢ Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; One attempt remaining
- Why is it that we model the parallel plate capacitor using the electric field of of an infinite sheet? Why not use the actual dimensions of the plates? Explain your understanding.A particle with charge q=16 uC is located at the origin of the coordiante system shown in the figure. Point A is located at (3,4) m. b. Calculate the value of the electric potential at point A, in volts. d. Calculate the value of EA in newtons per coulomb.Image shows two plates with opposite charges. η represents the surface charge densities which are equal and opposite and seperated by a distance of d. Electron is launched from the positive plate with initial speed, v0, heading towards the negative plate. The electron stops just short of the negative plate. It then starts accelerating back to the positive plate. Calculate what η would be. Please show ALL work and make it detailed and neat.
- Consider an electric dipole moment pointing in the +y direction: Px = 0, Py = p. A Obtain an expression for the potential difference between points A and B, AVAB, and also between points C and D, AVCD. Argue that your results are consistent with the statement emphasized above. B 1aCircle and correct the false statements below regarding dielectrics. Remember to justify your corrections. (a) A dielectric is a conducting material. (b) A dielectric can only be filled with polar molecules. (c) Presence of a dielectric lowers the overall electric field between the plates of a capacitor. (d) Capacitance goes down when a dielectric is inserted between the plates of a parallel plate capac- itor. (e) All of the above statements are true.Solve step by step please Two charges of 16 nC and -25.5 nC are located respectively at P1 (1.4, -1.6, 7.5) and P2 (-2.3, 1.1, 7.8). Obtain the electric field at point P (1.5, 2.7, 6.4). (Give the components in x, y and z, and the electric field in the point)Find the potential at point P (1.5, 2.7, 6.4).