The space between two concentric conducting spherical shells of radii b= 1.80 cm and a = 1.40 cm is filled with a substance ofdielectric constant K- 17.0. A potential difference V = 48.0 V is applied across the inner and outer shells. Determine (a) thecapacitance of the device, (b) the free charge q on the inner shell, and (c) the charge q induced along the surface of the inner shell.(a) NumberUnits(b) NumberUnits(c) NumberUnits

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Answered: The space between two concentric…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Two conducting concentric spherical shells have radii a = 0.165 m and b = 0.24 m. Part (a) Express the capacitance of the two concentric shells in terms of radii a and b and the Coulomb constant k. Part (b) Calculate the numerical value of the capacitance in F. Part (c) Express the capacitance C through the potential difference△V across the capacitor and charge Q. Part (d) If the charge in the inner sphere is +Q = 3 µC, the outer sphere -Q = -3 µC, calculate the electric potential difference△V between the outside and the inside conductors in V.
A large capacitance of 1.58 mF is needed for a certain application. (a) Calculate the area the parallel plates of such a capacitor must have if they are separated by 4.19 µm of Teflon, which has a dielectric constant of 2.1. (b) What is the maximum voltage that can be applied if the dielectric strength for Teflon is 60 ✕ 106 V/m (c) Find the maximum charge that can be stored. (d) Calculate the volume of Teflon alone in the capacitor. (units: m^3)
A constant potential difference of 20.0 V is maintained between the terminals of a 5.00 µF, parallel plate air capacitor. A sheet of glass having dielectric constant K = 5.00 is then inserted between the plates of the capacitor, completely filling the space between the plates, while the battery remains connected. What is the charge induced on either face of the glass sheet (in µC)?
A spherical capacitor is formed from two concentric spherical conducting spheres separated by vacuum. The inner sphere has radius 12.5 cm and the outer sphere has radius 14.8 cm. A potential difference of 120 V is applied to the capacitor. (a) What is the capacitance of the capacitor?(b) What is the magnitude of the electrical field at r = 12.6 cm , just outside the inner sphere? (c) What is the magnitude of the electrical field at r = 14.7 cm , just inside the outer sphere? (d) For a parallel-plate capacitor the electrical field is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?
A parallel-plate capacitor has a capacitance of 570 pF, a plate area of 400 cm², and a mica dielectric (K = 5.40) completely filling the space between the plates. At 53.0 V potential difference, calculate (a) the electric field magnitude E in the mica, (b) the magnitude of the free charge on the plates, and (c) the magnitude of the induced surface charge on the mica. (a) Number (b) Number i M. (c) Number i jeda Units Units Units
A point particle with charge q = -200 nC and mass m = 3.0x10-6 g is released from rest at the midpoint of a parallel-plate capacitor. The capacitor has plate separation d = 3.0 mm. The negative electrode is at x = 0 and the positive electrode is at x = d. The voltage across the capcitor has been measured to be AVC = 2.5 V. In this problem, ignore the weight of the particle. Give all numerical answers to two significant figures. a) What direction does the particle move? b) What is the electric field strength inside the capacitor, in V/m?
A parallel plate capacitor is composed of two square plates, 8.00 cm on a side, separated by a layer of dielectric of thickness 0.600 mm. The dielectric constant of the dielectric material is κ. a)If the capacitance of the capacitor is C = 2.83 × 10−10 F, then what is κ? (b) If the charge held on the capacitor’s plates is Q = 5.66 nC, then what is the potential difference between the plates? (c) What is the energy stored in the capacitor?
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.
Date Page 1 8. A paralled plate capacitor having an area 6.45 x 10¹4 m and a plate separation of 2x10-³ m across which a potential of 10 volts is applied. If a material having dielectric constant of 6 is positioned within the region between the plates. Compute (a) the capacitance (6) the magnitude of charge stored (d) The dielectric displacement. (d) the polarization.
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