Choose true or false for each statement regarding a parallel plate capacitor.. false The charge of a disconnected charged capacitor increases when the plate area is increased. false The charge of a connected charged capacitor remains the same when the plates are pulled apart. true The capacitance is inversely proportional to the area A. Remember that the capacitance C of a parallel plate capacitor of area A, seperation distance d, and dialectric Eo (depends on the material between the plates) is given by: C = EQA/d. Also, to build a charge Q on the plates with a capacitanceC, a potential difference V is required. Q VC Submit Answer Incorrect. Tries 1/2 Previous Tries

A parallel-plate capacitor is constructed by filling the space between two square plates with a block of three dielectric materials, as shown in the figure below. You may assume that ℓ ≫ d. A parallel-plate capacitor is comprised of two square plates with sides of length ℓ and separation distance d. There are three dielectric materials in the space between the capacitor plates. A material with length ℓ⁄2, height d, and dielectric constant ?1 fills the left half of the space. A material with length ℓ⁄2, height d⁄2, and dielectric constant ?2 fills the top right quarter of the space. A material with length ℓ⁄2, height d⁄2, and dielectric constant ?3 fills the bottom right quarter of the space.   (a) Find an expression for the capacitance of the device in terms of the plate area A and d, ?1, ?2, and ?3. (Use the following as necessary: ?1, ?2, ?3, ?0, A and d.)C =        (b) Calculate the capacitance using the values A = 1.30 cm2, d = 2.00 mm, ?1 = 4.90, ?2 = 5.60, and ?3 = 2.50.

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Three capacitors are connected as shown, where C = 0.045 F. A.  Input an expression for the equivalent capacitance between points a and b, in terms of C.  B.  What is the capacitance, in farads?  C. If the capacitors are charged with a ΔV = 10 V source, how much energy will the circuit store, in joules?

Part F Aspherical capacitor has vacuum between its conducting shells and a capacitance of 125 pF. The outer shell has inner radius 9.00 cm. What is the outer radius of the inner shell? Express your answer with the appropriate units. Rout = Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Your answer implies that the radius of the inner shell is greater than the radius of the outer shell. Is this possible? Check your signs. Part G If the potential of the inner shell is 355 V higher than the potential of the outer shell, what is the capacitor charge? Express your answer with the appropriate units. HẢ Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; One attempt remaining

At a certain distance from a point charge, the Part A potential and electric-field magnitude due to that charge are 4.98 V and 16.2 V/m, respectively. (Take V = 0 at infinity.) What is the distance to the point charge? Express your answer with the appropriate units. ? d = Value Units Part B What is the magnitude of the charge? Express your answer with the appropriate units. μΑ ? = b Value Units

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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.