A non conducting sphere of radius R has a positive charge which is distributed over its volume with density p=P. where x is the distance from the centre. If dielectric constant of material of sphere is K = 1, the energy stored in the surrounding space is %3D .Find n (9×n)(ɛ,)
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- Calculate the side length of a square plate of parallel plate capacitor with an air gap of 9.3 mm if its capacitance is measured to be 17.7 pF. Give your answer in SI units.If the magnitude of the electric field in air exceeds roughly 3 x 106 N/C, the air breaks down and a spark forms. For a two-disk capacitor of radius 26 cm with a gap of 1 mm, what is the maximum charge (plus and minus) that can be placed on the disks without a spark forming (which would permit charge to flow from one disk to the other)? i CThe potential distribution in a dielectric material (& = 8) is V = 4x³yz² V. Find V, E, and P at point (2, –5, 3).
- Problem 5: Consider a parallel plate capacitor having plates of area 1.5 cm? that are separated by 0.028 mm of neoprene rubber. You may assume the rubber has a dielectric constant K = 6.7. Part (a) What is the capacitance in nanofarads? C = nF sin() cos() tan() 8 9 HOME cotan() asin() acos() E 4 5 6 atan() acotan() sinh() 1|2 |3 cosh() tanh() cotanh() +- END ODegrees O Radians Vol BACKSPACE DEL CLEAR Part (b) What charge, in coulombs, does the capacitor hold when 9.00 V is applied across it?Consider a cylindrical capacitor with two layers of dielectric materials. The inner conductor radius is a and the outer conductor radius is c. The inner dielectric material fills the thickness (b-a) and its permittivity is & and the outer dielectric material fills the thickness (c-b) and its permittivity is ε, as shown in the figure. Find the capacitance of the capacitor if its length is 1. Consider a spherical capacitor with two layers of dielectric materials. The inner conductor radius is a and the outer conductor radius is c. The inner dielectric material fills the thickness (b-a) and its permittivity is & and the outer dielectric material fills the thickness (c-b) and its permittivity is ६, Find the capacitance of the capacitor.Suppose a dielectric sphere of radius a and permittivity e = 260, containing a net charge Q1 uniformly distributed in its volume, is surrounded by another conducting sphere of inner radius a and outer radius b. a) Find an expression for E valid in each region. b) Find an expression for V valid in each region. c) Make separate graphs for |E/(Q1/4T€0)| and V/(Q1/4T€0) as a function of r valid for each region.
- Asap plzzzThree capacitors are arranged as shown, if C₁ is a parallel plate capacitor d = 2 mm and cross-sectional area is 2 cm2, C₂ is a concentric spherical capacitor with R₁ = 1 mm and R₂ = 2 mm, and C₂ is a concentric cylindrical capacitor with R₁ = 1 mm , R₂ = 2 mm and length L=2 cm, determine: a. C₁, C₂, C3, and Cequivalent b. VAB, VBC C. Q₁, Q2, Qtotal. d. The energy of the capacitorTwo parallel plate capacitors are connected to a 60 V battery as shown. C₁ is air filled and C₂ uses a dielectric material with relative permittivity/dielectric constant of -2.6. Each capacitor has a plate area of A = 80 cm² and a plate separation of 3.0 mm. a) Find the charge Q on the plates of by C₁ and C2. b) The energy stored by C₁, C2 and total energy stored. + 60V C₂ *Indicate all assumed voltage polarities C₁
- A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius ra and a coaxial cylindrical wire (the anode) of radius (see figure below) with a gas filling the space between the electrodes. Assume that the internal diameter of a Geiger-Mueller tube is 1.95 cm and that the wire along the axis has a diameter of 0.190 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.25 x 106 V/m. Use the equation ain 2πrle= to calculate the maximum potential difference that can be applied between the wire and the cylinder before breakdown occurs in the gas. €0 Anode Cathode 148 X Your response differs from the correct answer by more than 10%. Double check your calculations. V Need Help? Read ItHow much work is required to put enough charge on the Reyenu Hall Van de Graff generator’s globe so that the field strength at the surface of the globe is at the threshold for dielectric breakdown? Treat the globe as an isolated sphere. the dimension of the Van de graph generator is radius 0.15mWhen 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?