Capacitance can be calculated using external quantities such as charge Q and potential V. However, capacitance depends on the capacitor design that includes the plates' surface area (both are the same), the separation between the plates, and the electrostatic properties of the space between the plates. 1. Provide theories on why the parameters listed above affect capacitance. While explaining, use the terms potential, electric field, amount of electric charge, etc. Use symbols (e.g.. y-x or y- as they apply to capacitors. Label A-area, d-distance between the plates, and e-dielectric constant (external dielectric material). Area of the plates C Distance (separation) between the plates C Dielectric constant C . . .

Capacitance can be calculated using external quantities such as charge Q and potential V. However, capacitance depends on the capacitor design that includes the plates' surface area (both are the same), the separation between the plates, and the electrostatic properties of the space between the plates. 1. Provide theories on why the parameters listed above affect capacitance. While explaining, use the terms potential, electric field, amount of electric charge, etc. Use symbols (e.g.. y-x or y- as they apply to capacitors. Label A-area, d-distance between the plates, and e-dielectric constant (external dielectric material). Area of the plates C Distance (separation) between the plates C Dielectric constant C . . .

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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1.The spherical capacitor is composed of an outer conductor spherical shell and a small conductor ball inside. When the outer spherical shell is very large (the radius is infinite, or there is no outer spherical shell), what is the capacitance?And briefly analyze the characteristics and main influencing factors of the capacitor capacitance according to the results.(Use Q a b ) 2.another is a dielectric is inserted into half of the parallel-plate capacitor, and the relative dielectric constant of the dielectric is κ.what is the capacitance?and briefly analyze the characteristics and main influencing factors of the capacitor capacitance according to the results.(Use Q d k l x)
Consider a uniform electric field E of magnitude E = 7.6 N/C. The line segment connecting points A and B in the field is perpendicular to the direction of the field, while the line segment connecting points C and B is parallel to the field. The line segments have equal lengths of d = 0.51 m. Refer to the figure. 1. Find the potential difference, in volts, between point A and point B. 2. Enter an expression for the potential difference between point C and point B in terms of E and d. 3. Calculate the potential difference, in volts, between point C and point B.
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Question 3 Look at the arrangement of the capacitors below. A) Find the equivalent capacitance of the arrangement. B) What is the voltage across each capacitor? V₁ = V₂ = V3 = V4= C) What is the magnitude of the charge stored on each capacitor's plates? Q₁ = Q₂ = A 4 F 6 F 4 F B Now imagine that a dielectric with dielectric constant k = 5.0000 is placed inside the upper left capacitor. D) Find the new equivalent capacitance of this arrangement. AVAB 10 volts still A k=5.0000 6F 6 F B = 4F 4F AV₁ = 10 volts AB
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
The wire in the figure to the right has linear charge density λ. What is the electric potential at the center of the semicircle? Give your answer in terms of λ, R, € and appropriate constants. *Hint: you do not need to integrate each segment, you can use results from previous work. Answer: V = 2/(4€)(1+2ln(3)/π) 2 R 2R
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Two point charges of 3 nC and 8 µC are separated by a distance of 10 cm. A point X is at a distance of 5 cm from 3 nC charge and 4 cm from the 8 puC charge. Show your complete solutions a.Find the electric potential from q1 to point X. b.Find the electric potential from q2 to point X. c.The total electric potential d.Potential energy from q1 to point X. e.Potential energy from q2 to point X.
A spherical capacitor consists of an inner spherical shell of radius R1 and an outer spherical shell of radius R2, as shown above. Our goal is to calculate the capacitance of this configuration of electrodes.To start, suppose the inner sphere has a charge +Q and the outer sphere an equal but opposite charge -Q. Find the capacitance using the following steps:1. Use Gauss's law to find an expression for the electric field in the region between the two spheres.2. Find an expression for the potential difference between the spheres from the electric field (you'll have to integrate the electric field from the negative electrode to the positive one).3. Calculate the capacitance from C = Q / ΔV.Suppose in this case that R1 = 2.00 cm and R2 = 4.30 cm. What is the value of the capacitance?
6. Use the figure to the right to answer the following. + 9 V | C₁ 4 μF C₂ I C3: 12 μF T 2 μF a) What is the equivalent capacitance of the entire system? b) What are the charge and potential difference across each capacitor?