Question 6: The plane y = 0 distinguishes two lossless dielectric zones with dielectric constants ɛr1 = 2 and ɛr2 = 3. 1. If the region is known as E ****1 = x2 - ŷ3 + bilin5, calculate the electric field and displacement vectors E****2 and D****2 in region 2. (There is no load density on the interface.
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- Problem 13: Each plate of a parallel-plate capacitor has an area of A = 0.61 m2. The plate separation is 3.0 mm, and one of these plates is shown in the figure. It carries a charge of Q = 2.9 μC, which is concentrated on its inner surface. Imagine a cylindrical Gaussian surface, of radius r = 0.012 m, whose axis is perpendicular to the plates. One end of the cylinder is inside the plate shown and the other end is located between the plates. Both ends are parallel to the plates. Part (a) What is the flux through surface 1 Φ1, in newton meters squared per coulomb? Part (b) What is the flux through surface 2 (the outside of the cylinder not including the ends), in newton meters squared per coulomb? Part (c) What is the flux through surface 3 Φ3, in newton meters squared per coulomb? Part (d) Using all of your results, input an expression for the field within the capacitor E, in terms of the quantities given in the problem.Show transcribed image text An electric field is given by Ex = 3.5x^3 kN/C. Find the potential difference between the points on the x axis at x = 1 m and x = 4 m. kV Find the maximum surface charge density sigma max that can exist on the surface of any conductor before dielectric breakdown of a gas with a dielectric strength of 3.95 MV/m occurs. C/m^2A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius ra and a coaxial cylindrical wire (the anode) of radius (see figure below) with a gas filling the space between the electrodes. Assume that the internal diameter of a Geiger-Mueller tube is 1.95 cm and that the wire along the axis has a diameter of 0.190 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.25 x 106 V/m. Use the equation ain 2πrle= to calculate the maximum potential difference that can be applied between the wire and the cylinder before breakdown occurs in the gas. €0 Anode Cathode 148 X Your response differs from the correct answer by more than 10%. Double check your calculations. V Need Help? Read It
- BWhen a battery is connected across an empty capacitor, the charge on its plates is Q0 (fig. a). If a dielectric of dielectric constant ?κ is inserted between the plates while the battery remains in place (fig. b), what is the expression for the induced charge on the dielectric surface in terms of the original plate charge Q0?Two identical balls each having a density pare suspended from a common point by two insulating strings of equal length. Both the balls have equal mass and charge. In equilibrium, each string makes an angle with the vertical. Now, both the balls are immersed in a liquid. As a result, the angle does not change. The density of liquid is o. Find the dielectric constant of the liquid.
- A spherical capacitor is composed of two concentric conducting spheres, one of radius a and the other of radius c (c > a). In addition, between the two conductors there is a spherical shell of dielectric material (relative permittivity/relative dielectric constant ) with inner radius b (c > b > a) and outer radius c. The charge on the inner conductor is +Q. The charge on the outer conductor is -Q. (a) Make a sketch of the situation, indicating the relevant dimensions. (b) Determine the magnitude of the electric field E at radius r for a < r < b. (c) Determine the magnitude of the electric field E at radius r for b < r < c. (d) What is the (induced) surface charge density on the inner surface of the dielectric. (e) Sketch the radial component of the electric field versus r . (f) Sketch the electrostatic potential versus r . (g)Calculate the potential difference between the conductor at r = a and that at r = c. (h) What is the capacitance of this capacitor?Which describes the final electric field between the plates of a capacitor after a nonpolar dielectric slab is inserted? O The final field magnitude is more than the initial field magnitude. O The final field magnitude is less than the initial field magnitude. O The final field magnitude is equal to the initial field magnitude.