A metal surface of area 5 m² is charged with √8.85 µC. the dielectric constant of the medium is 10. Find the surface charged density and mechanical force acting on the surface.
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- I need help with this question. Thank you!The gecko is sticking upside down to a smooth ceiling. The remarkable adhesion might be due to static electricity. Gecko feet are covered with microscopic hairs. When these hairs rub against a surface, charges separate, with the hair developing a positive charge and negative charge forming below the surface. There is an attractive force between the separated charges. This is an effective means of adhering to a surface, but it comes at a cost: Two planes of charge are like two charged plates of a capacitor, which takes energy to charge. Doubling the amount of charge on each surface increases the attractive force, but also increases the energy required to separate the charge. Part A By what factor does this energy increase? (UElec){ (UElec); ΕΧΕΙ ΑΣΦ Submit Request Answer Provide Feedback ?A 1.8 mm by 2.6 mm plate capacitor has the plates separated by a distance of 0.12 mm. (a) When a charge 4.00 × 10 −11 C of charge is placed on the capacitor, what is the electric field between the plates? (b) If the electric field with the dielectric constant 130 is placed between the plates while the charges on the capacitor stays the same, what is the dielectric field in the dielectric
- 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.Two parallel plates, each charged equally and oppositely to the other, are separated by 2.3500 cm. A proton is let go from rest at the positive plate's surface and, at the same time, an electron is let go from rest at the negative plate's surface. What is the distance between the negative plate and the point where the proton and the electron go by each other? Note: unlike most questions, this one will need your answer correct to 5 significant digitsShow 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^2
- An air-filled capacitor is charged, and then a dielectric is inserted. As a result, there is an induced charge on the dielectric. What is the difference between induced charge and free charge? Option 1: Induced charge is the charge that resides on the surface of the dielectric, while free charge is the charge that is free to move within the dielectric. Option 2: Induced charge is the charge that is created by the electric field of the capacitor, while free charge is the charge that is already present in the dielectric. Option 3: Induced charge is the charge that is attracted to the oppositely charged plates of the capacitor, while free charge is the charge that is repelled by the plates. Option 4: There is no difference between induced charge and free charge.A 1.4-µC point charge is placed between the plates of a parallel plate capacitor. The charge experiences a force of 0.89 N. What is the magnitude o of the charge density on either plate of the capacitor? 0 = iA 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?