Please do not post chegg solutions 4.56 Figure P4.56(a) depicts a capacitor consisting of twoparallel, conducting plates separated by a distance d. The spacebetween the plates contains two adjacent dielectrics, one withpermittivity and surface area A₁ and another with 2 and A2. E1A₁where82A₂(a)(b)Figure P4.56 (a) Capacitor with parallel dielectric section,and (b) equivalent circuit.The objective of this problem is to show that the capacitance Cof the configuration shown in Fig. P4.56(a) is equivalent to twocapacitances in parallel, as illustrated in Fig. P4.56(b), withC = C₁+C₂(4.133)C₁ =C₂ =€1A₁d€2A2d(4.134)(4.135)To this end, proceed as follows:(a) Find the electric fields E₁ and E2 in the two dielectriclayers.(b) Calculate the energy stored in each section and use theresult to calculate C₁ and C2.(c) Use the total energy stored in the capacitor to obtain anexpression for C. Show that (4.133) is indeed a validresult.

The Capacitance in parallel with multiple capacitors placed in such a way that terminals are…

To this end, proceed as follows: (a) Find the electric fields E₁ and E2 in the two dielectric layers. (b) Calculate the energy stored in each section and use the result to calculate C₁ and C₂. (c) Use the total energy stored in the capacitor to obtain an expression for C. Show that (4.133) is indeed a valid result.

To this end, proceed as follows: (a) Find the electric fields E₁ and E2 in the two dielectric layers. (b) Calculate the energy stored in each section and use the result to calculate C₁ and C₂. (c) Use the total energy stored in the capacitor to obtain an expression for C. Show that (4.133) is indeed a valid result.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

6- Why an insulator is represented as a capacitor C? What are the assumption modes?
Find / Derive the equation for the capacitance of a spherical capacitor, consisting a spherical conducting shell of radius "b" and charge - Q concentric with a smaller conducting sphere of radius "a" and charge Q. Draw the figure.
Draw schematics to illustrate why the capacitance is formed in DoubleLayer (DL) in Electrostatic Double-Layer Capacitor (EDLC). State thecapacitance’s difference between Double Layer (DL) and conventional capacitors?
2) C. When the capacitor is fully charged, the top conductor while the bottom conductor D. Electric field lines are and a potential difference is E. The capacitance of a capacitor is defined as F. The unit of capacitance is
Repeat Problem P4.34 given i L ( 0− )=0 A.
(al:Determine E caused by the spherical cloud of electrons with a volume charge density of - 1.68 x 10 -18 for 0 10mm. Clearly mention the surfaces, there differential components and write the equation properly by doing all the steps. (b): For the dielectric composition shown in the figure find out its total capacitance.
Two coaxial conducting cylinders of radius 4 cm and 6 cm have a length of 4.78m. The region between the cylinders contains a layer of dielectric from p = 4 to p = 6 with ER = 8. Find the capacitance in pF.
Question A capacitor with parallel plates, of area A and separation 2a, is connected to a potential difference AV. Then a conductive metal plate of area is introduced A/2 and thickness a up to the middle of the capacitor (red in the figure). Finally it is introduced an insulating material of dielectric constant k in the second half (blue in the figure), with equal area and thickness as conductive material. Find The capacity and energy accumulated when the capacitor is with the conductor. What do you mean by c3 and c2? Are the capacitor with conductor and the other with air? What area and distance is used to calculate the capacitor with air and to calculate the one with the conductor?
5. Cylindrical capacitors of length L is filled up with an inhomogeneous dielectric as shown in the figure. Find the capacitance of each capacitor. $! 8x2 (a) Erl (b) &
Give the reason why a dielectric material increases capacitance compared with what it would be with air between the plates of a capacitor.what is the independent reason that a dielectric material also allows a greater voltage to be applied to a capacitor?(The dielectric thus increase C and permits a greater V.).
A pamllel plat capacilor with area of 15 m plates is 1m material with interface parallel to E Q3 the distance between the, twa filled by two dielectni 2 with area o.5m² %3D Ee =3 witharea S2-1m? find The capacitance of this capacitori
Please derive this equation for capacitance at flat band: