Problem 1. A parallel plate capacitor can be constructed from two metal sheets at a distance parallel to each other as shown in the figure. Suppose that the separation AV between the plates is given by d and each plate has a surface area A. The capacitor remains connected to a battery which maintains a voltage difference of V. If the total charge accumulated on the upper and lower plates are given by +Q and -Q respectively, (a) find the magnitude and the direction of the electric field E between the plates in terms of Q and A, (b) find the potential difference between the plates in terms of Q, d and A, (c) find the capacitance in terms of A and d, (d) find the energy stóred U in the capacitor in terms of A, d and E. (e) Now, assume that a dielectric with coefficient K is inserted between the two plates, and discuss the change in Q and U.

Problem 1. A parallel plate capacitor can be constructed from two metal sheets at a distance parallel to each other as shown in the figure. Suppose that the separation AV between the plates is given by d and each plate has a surface area A. The capacitor remains connected to a battery which maintains a voltage difference of V. If the total charge accumulated on the upper and lower plates are given by +Q and -Q respectively, (a) find the magnitude and the direction of the electric field E between the plates in terms of Q and A, (b) find the potential difference between the plates in terms of Q, d and A, (c) find the capacitance in terms of A and d, (d) find the energy stóred U in the capacitor in terms of A, d and E. (e) Now, assume that a dielectric with coefficient K is inserted between the two plates, and discuss the change in Q and U.

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)...

See similar textbooks

Similar questions

Part G Calculate the charge on capacitor C4. Express your answer in coulombs. ΑΣΦ ? Q4 = C %D
Two parallel plates having equal and opposite charges with area L x L separation d is filled with a dielectric material as shown in the Figure. The related dielectric constant varies with zask=a+ Here, a 46 cm, b -92 cm, d 0.31 cm and L=1m are given. Find the capacitance of this capacitor in 10-11 Farad. Take o=10-¹¹ C²/Nm². Answer:
b. Capacitor A and Capacitor B are two parallel plate capacitors. Capacitor B has twice the area and four times distance between plates of Capacitor A. (i) What is the ratio CB: CA, and (ii) What is the ratio of Energy stored UB:UA when the capacitors store the same charge on its plates?
Part A The voltage across a 4 μF capacitor increases by 48 V. If the final charge on the capacitor is 507 μC, determine the initial charge. Q₁ = Part B Two parallel plates each have a charge magnitude of 601 nC. Between the plates is a dielectric with K = 86. Additionally, the E-field between the plates is 7.81x105 V/m. Determine the area of each plate. A= Part C A capacitor with no dielectric has an E-field of 88 kV/mm between the plates. The area of each plate is 46.3 cm² and the voltage across the capacitor is 1.5 V. Determine the capacitance. C=
A 12.6 μF circular parallel-plate capacitor is connected to an 11.3 V battery. Part A: What is the load on each plate? Part B:What would be the load on the plates if the distance between the plates was doubled while the shawl was connected to the battery? Part C :If the radii of the plates were doubled and the capacitor was connected to the same battery, what would be the loads on the plates?
Two identical capacitors (A and B) with capacitance Co are hooked up to a battery of voltage Vo. A dielectric of constant ko is added between the plates of capacitor B while it is connected to the battery, as in the figure at right. a) Is the charge on capacitor A (QA) greater than, less than, or equal to the charge on capacitor B (QB)? What about the voltages (VA and VB)? Explain your reasoning. b) Vo CB The capacitors above are carefully disconnected from the battery (without being discharged), after the battery is disconnected the dielectric slab is removed from capacitor B. The capacitors remain connected to each other the entire time. Determine an expression for the final charges on each of the capacitors (QA₁f and QB₁f) after the dielectric has been removed in terms of the given constants (Ko, Co, Vo). Show your work and explain your reasoning.
A parallel plate capacitor has a capacitance of 110. pF and a plate area of 100. cm2. The space between the plates is filled with mica whose dielectric constant is 5.40. The plates of the capacitor are kept at 40.0 V. a) What is the strength of the electric field in the mica? b) What is the amount of free charge on the plates? show complete solution
An air-filled parallel-plate capacitor has plates of area 2.50 cm^2 separated by 1.80 mm. The capacitor is connected to a(n) 13.0 V battery. a) Find the value of its capacitance. pF b) What is the charge on the capacitor? pC c) What is the magnitude of the uniform electric field between the plates? N/C
The dielectric of a parallel plate capacitor is to be constructed from glass (Kd= 4.6). The area of each plate is 0.50 m2 . A) What thickness should the glass have if the capacitance is to be 0.10 microfarad? B) What is the charge on the capacitor if connected to a 12-volt battery?
Consider a parallel-plate capacitor having an area of 2550 mm^2 and a plate separation of 4.9mm and with a material of dielectric constant 5.9 positioned between the plates. Also, the value of E0 is 8.85x10^-12F/m. a) What is the capacitance of this capacitor in pF? b) compute the electric field that must be applied for a charge pf 7.8x10^-8C to be stored on each plate in V/m.
Capacitance Problem 3: Two parallel plates have charges +Q and −Q, as shown. The magnitude of the charges is 29.7nC, the area of each plate is A=0.0105 m2, and the distance between them is d = 8.53cm. The plates are surrounded by air. Part (f) If the area is doubled to 2A while the gap is decreased to 14d, then what is the value, in picofarads, of the new capacitance? Part (g) What is the new value, in volts, of potential difference between the plates with the original charges, +Q and −Q, given the increased area and reduced gap of Part (f)?
a) Find the capacitance of the capacitor. b) Find the charge stored on the plates of the capacitor if it is connected with a battery of V=46volts.