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?
Dielectric Constant Of Water
Water constitutes about 70% of earth. Some important distinguishing properties of water are high molar concentration, small dissociation constant and high dielectric constant.
Electrostatic Potential and Capacitance
An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.
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.
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 5 images
