If you have two conducting plates where the voltage is V=0volt at z=0 and V=75volt at z=d, and assuming that the area between the two plates contains a constant volumetric charge, find the voltage between the plates
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- Consider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similarlsize xxbxd with dielectric constant k is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 24- V is attached accros the capacitor. Take K = 4, a = 21 cm, b 28 cm, d = 0.2 cm, and x = 11 cm. a air K d The capacitance, C = Units Select an answer v The echarge, Q = Units Select an answer The energy, U = Units Select an answer vConsider an infinitely long wire of charge carrying a positive charge density of A. The electric field due to 1 this line of charge is given by E = 2k, = -, where is a unit vector directed radially outward 2πεor T from the infinitely long wire of charge. Hint #3 3 a. Letting the voltage be zero at some reference distance (V(ro) = 0), calculate the voltage due to this infinite line of charge at some distance r from the line of charge. Give your answer in terms of given quantities (A,ro,r) and physical constants (ke or Eo). Use underscore ("_") for subscripts and spell out Greek letters. Hint for V(r) calculation V(r) = b. There is a reason we are not setting V(r→ ∞o) = 0 as we normally do (in fact, in general, whenever you have an infinite charge distribution, this "universal reference" does not work; you need a localized charge distribution for this reference to work). Which of the following best describes what happens to potential as roo? (That is, what is V(ro), with our current…The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with radius ri = 4 mmand outer hollow conducting tube with an inner radius of r2 = 31 mmThe length of the capacitor is L = 27 cmFigure 2 is the cross sectional view of the system. This system of rod and shell is connected to a voltage source of emf E = 9.2 voltsThere is no dielectric material present in the system as of now. PartI a)Calculate the capacitance of this capacitor. capacitance Give your answer up to at least three significance digits. b)Say the inner rod is negativelycharged. Given this, calculate the charge density of the outer surface. And show how the electric field lines are oriented in this system. Hint: you can use the cross section for this (Fig. 2). charge density of the outer surface Give your answer up to at least three significance digits.
- Consider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similar size xxbxd with dielectric constant K is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 24- V is attached accros the capacitor. Take K = 4, a = 21 cm, b = 28 cm, d = 0.2 cm, and x = 11 cm. a air K The capacitance, C = 6.8175E-9 x Units pF The echarge, Q = 1.636E-7 x Units nC The energy, U = 1.964E-6 X Units nJIF The circvit shaawn has Potential JiF between A-(=120V B what The ToTal chargs of cirouit iF C,-6.1f, G=lo l F, C3=Yut, Cuz 12 UF a) Cq 6) iF The Charge between A Ğ B = 240c What is The Pot. DiF.Consider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similar size xxbxd with dielectric constant k is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 6-V is attached accros the capacitor. Take k = 4.5, a = 15 cm, b = 40 cm, d = 0.3 cm, and x = 5.5 cm. a air K d The capacitance, C = 26.94 X Units pF The echarge, Q = 0.16 X Units nC The energy, U = | 0.485 X Units nJ
- A simple paralled plate capacitoris design 8000V. IJ to store 5x10°Cata to the separation betueen the plateses filled byalumina th thickness ~0.3ommand Ex~9.0, then cllate the ea ch potential plateofthe capacitorConsider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similar size x-bxd with dielectric constant k is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 30- V is attached accros the capacitor. Take k = 7.5, a = 11 cm, b = 36 cm, d = 0.3 cm, and x = 6.5 cm. a Ī air The capacitance, C = 565.7706✔ Units pF The echarge, Q = 16.9731 Units nC The energy, U = 2546 x Units nJ K X dConsider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similar size xxbxd with dielectric constant K is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 30- V is attached accros the capacitor. Take k = 7.5, a = 11 cm, b 36 cm, d = 0.3 cm, and x = 6.5 cm. = a I The capacitance, C = The echarge, Q= The energy, U = air K X Units Select an answer ✓ Units Select an answer ✓ Units Select an answer ✓ d
- (a) A solid cylindrical conductor of radius a and charge Q is coaxial with a cylindrical shell of negligible thickness, radius b > a, and charge -Q (as shown in the figure). The length of the cylindrical conductor is 1. Show that the capacitance of this cylindrical capacitor is C= 2rE, In(b/a)` (b) A coaxial cable used in a transmission line has an inner radius of 0.10 mm and an outer radius of 0.50 mm. Calculate the capacitance for a 1- meter long cable. Assume that the space between the conductors is filled with substance having dielectric constant « = 4Consider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similar size xxbxd with dielectric constant k is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 6-V is attached accros the capacitor. Take k = 4.5, a = 15 cm, b = 40 cm, d = 0.3 cm, and x = 5.5 cm. a air K The capacitance, C = Units pF The echarge, Q = Units nC The energy, U = Units nJ(a) Calculate the relative dielectric constant of a SrTiO3 crystal plate, which, when insertedin a parallel plate condenser of area 12 mm x 11 mm and distance of separation of 0.5 mm,gives a capacitance of 1.6x10-7 F.(i) If a SrTiO3 crystal plate with 35% porosity is inserted in that similar parallel platecapacitor, what would be the change in capacitance value? Does it increases ordecreases? Why?(ii) If we replace the porous SrTiO3 crystal plate with a BaTiO3 crystal plate having asimilar 35% porosity, while the “relative permittivity (r)” is exactly similar to theSrTiO3 crystal plate in part (i)what is the change in the capacitance value of thecapacitor?