The two plates of a parallel-plate capacitor each have area1.20 m2, are 4.50 mm apart, and initially have vacuum between them.You connect a power supply to the capacitor, charging it to 3.50 kV.Keeping the power supply connected, you insert a sheet of dielectricwith dielectric constant 2.50 that fills the space between the plates.Find the magnitude of the induced charge on the faces of the dielectric sheet

Near the surface of the Earth, there is an electric field (even when there is no thunderstorm). Usually, the air is positively charged, and the ground is negatively charged, creating an electric field of typically 100V/m, pointing vertically down. This phenomenon is known as “atmospheric electricity". In our discussions below, treat this electric field as uniform, so that we have plane symmetry in the system. Human body has an average dielectric constant of ɛ, = 50. Under the atmospheric electricity, the human body can be treated as a linear dielectric. a) For a person standing on the surface of the Earth, calculate the electric field inside the human body due to the atmospheric electricity. b) For the same person, calculate the polarization inside the body due to the atmospheric electricity. c) For the same person, calculate the surface bound charge density on the top of their head and the surface bound charge density on the bottom of their feet. d) Briefly explain why you cannot…

A spherical capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has a radius of ra= 12.1 cm , and the outer sphere has a radius of rb= 14.8 cm . A potential difference of 120 V is applied to the capacitor.   What is the magnitude E1 of the electric field E⃗ → at radius r=12.8 cm, just outside the inner sphere?

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 ZE The potential difference between the accelerating plates of a TV set is about 30 kV. If the distance between the plates is 1.3 cm, find the magnitude of the uniform electric field in the region between the plates. N/C

Two 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 determine

Oppositely charged parallel plates are separated by 4.49 mm. A potential difference of 600 V exists between the plates. (a) What is the magnitude of the electric field between the plates? N/C (b) What is the magnitude of the force on an electron between the plates? (c) How much work must be done on the electron to move it to the negative plate if it is initially positioned 2.72 mm from the positive plate?

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.

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?