A capacitor consists of 3 spherical shells with radiuses r, 2r and 4r. The first and third shells are connected to earth but the second one has charge 5Q, calculate the capacity and the charge on the third ( outer) shell.
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- a +15nC charge is at the origin. How much farther from the charge is the 2000V equipotential surface than the 3000V equipotential surfaceTwo large (treat as infinite) parallel conducting plates are charged to t Q as shown by the battery. A proton is released from rest at point A and is measured to be moving with a speed v, = 2 x 105 m/s when at point B. The right plate is then moved closer to the left as shown in the %3D X X rightmost figure. The experiment is repeated. What will be the speed of the proton at point B? A) Greater B) Smaller C) Equal D) Impossible to determineA proton is between the plates of a parallel plate capacitor. The charge density of the plates is 5 nC/m2. What is the acceleration of the proton?
- 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.View Policies Current Attempt in Progress A capacitor is constructed of two concentric conducting cylindrical shells. The radius of the inner cylindrical shell is 2.35 x 103 m, and that of the outer shell is 2.47 x 10 m. When the cylinders carry equal and opposite charges of magnitude 2.0 x 10 10 C, the electric field between the plates has an average magnitude of 3.9 x 10 V/m and is directed radially outward from the inner shell to the outer shell. Determine (a) the magnitude of the potential difference between the cylindrical shells and (b) the capacitance of this capacitor. +] Cylindrical capacitor (end view)A parallel-plate capacitor is formed from two 5.8 cm -diameter electrodes spaced 1.9 mm apart. The electric field strength inside the capacitor is 1.0 ×106N/C. What is the charge (in nC) on each electrode?
- When 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?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?