Purchase Solution

Capacitors and Parallel Conducting Plates

Not what you're looking for?

Ask Custom Question

The question asks me to consider a capacitor consisting of two parallel conducting plates 1 and 2 with a dielectric material between them. (full description of system in attached file) There is also a free charge density between the plates. the question then asks me to show that the potential in the region a<z<2a (a point between the plates) is shown to be a given equation (shown in file) so basically a system is described and an potential equation is supplied and I have to show how that equation is derived? I have supplied all the relevant associated equations I can think of that may be required I just don't know how to bring them all together to produce the required (given) equation. Please can you show me your working. Thank you.

Q2)

Consider a capacitor consisting of two parallel conducting plates, 1 and 2, separation a, with a dielectric material of constant relative permittivity ε between the plates. Plate 1 is in the z = a plane and is held at a fixed potential V1, whereas plate 2 is in the z = 2a plane and is held at the fixed potential V2. The plates are so large compared to their separation that the electric field between them can be considered to depend only on z. Between the plates there is a free charge density where K is a constant.

i)
Show that the potential in the region a < z < 2a is,

ii)
Hence determine the electric field E in the region a < z < 2a between the plates.

Attachments
Purchase this Solution
Solution Summary

The expert examines parallel plate questions.

Solution Preview

Hello and thank you for posting your question to Brainmass!

The solution is attached below in two files. the files are identical in content, only differ in format. The first ...

Purchase this Solution
Free BrainMass Quizzes
Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

The Moon

Test your knowledge of moon phases and movement.

Basic Physics

This quiz will test your knowledge about basic Physics.

View More Free Quizzes
Related BrainMass Solutions

  • Capacitors: Types, Expressions, Effect of Insertion

    Capacitance of a parallel plate capacitor with a conducting slab (of thickness less than the gap between the plates) introduced between the plates.

  • Potential Between Different Dielectric

    I have Teflon being 2.1 and paper being 3.5 Since the potential between point a and b is the potential between the plates, when a capacitor is half filled with a different dielectric, then we can describe the system as two capacitors linked in a parallel

  • connect three capacitors so that they store maximum energy

    Problem 2 Let us consider a parallel plate capacitor with area of each plate A, plate separation d1 and charges on the two plates +Q and -Q.

  • Capacitance and electric potential

    These capacitors are then disconnected from their batteries, and the positive plates are now connected to each other and the negative plates are connected to each other.

  • Dielectrics: Capacitors

    34872 Dielectrics: Capacitors A capacitor is made from two parallel plates, each with an area of 146 cm^2. The plates are separated by a distance of 0.58 mm.

  • Capacitors in series and parallel

    432388 Capacitors in series and parallel Two condensers are connectedin series across a 100V supply and is found that the potential difference across A is 60V.

  • A parallel plate capacitor with plates of area A and plate

    81493 A parallel plate capacitor with plates of area A and plate separation A parallel plate capacitor with plates of area A and plate separation d has the region between the plates filled with two dielectric materials (ε1 and ε2) as shown in

  • Charge on the capacitors when reconnected oppositively.

    98024 Charge on the capacitors when reconnected oppositively. Two capacitors, with capacitance 4.20*10^-6 F and 5.90*10^-6 F, are connected in parallel across a 660-V supply line.

  • Parallel Plate Capacitors

    97817 Parallel Plate Capacitors A parallel plate capacitor is filled with a dialectric whose dialectric constant is K, increasing its capacitance from C_1 to KC_1.

  • Parallel plate capacitor: Find the energy stored

    Check out for detailed discussion about capacitors at: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/capcon.html#c1 1. Consider a parallel plate capacitor, fixed area A, and fixed separation, d.

View More Related Solutions