Electrostatics

 Electrostatics Dissertation

Field Research and Modeling

-Electrostatics Project-

By simply Popescu Ciprian

FILS, Group 1222E

Index

1 . Data of the project

a. Initial values for elements

n. Table with elements and groups of components

c. Points of measurement

d. Geometric style

2 . Changing the polarity of the lower capacitor

several. Test 1 ) Testing works

4. Test 2 . Changing the electric power permittivity from the dielectric 5. Test several. Changing the prices of the conductors

6. Evaluation 4. Adding an additional demand between the capacitors 7. Conclusions

The data from the project

The purpose of this job is to measure how the difference in the electric permittivity of the dielectrics in addition to the charges from the charges with the conductors affect the electric field strength plus the electric potential of the geometric model that is certainly constructed. The initial values from the different parameters are:

5. The dielectrics:

* the dielectric obstruct has a family member electric permittivity Оµr=3 2. the air prevent has a comparative electric permittivity Оµr=1 2. The charges with the conductors:

2. Conductor c1: 1C= q

* Caudillo c2: -1C= -q

5. Conductor c3: 1C= queen

* Caudillo c4: -1C= -q

2. The border has U=0

The table with elements of the angles:

Object| Included elements/labels| Observations

Vacuum pressure block| Edge linesAir block| On the line lines U=0| Auxiliary block| Lines that form the additional square with margin almost 8 cm| The lines don't have any property, just to serve in controlling the mesh| | |

Capacitor 1| Conductors C1 and C2| Contains two obstructs of air and 1 block of dielectric| | |

Capacitor 2| Conductors C3 and C4| Contains two blocks of air and 1 block of dielectric| | |

Dielectric block| Dielectric material| Has got the electric permittivity control property| | |

To be able to see how the variations of those parameters influence the model, the following details were picked for way of measuring: * P1(-1. 5, 0) between the capacitors

* P2(-1. 5, 1 ) 5) over the bottom plate of the uppr capacitor 2. P3(-1. your five, 2 . 25) in the middle of the top capacitor

* P4(-1. five, 3) under the upper menu of the higher capacitor * P5(-1. 5, 4) in the upper capacitor

* P6(-1. 5, -1. 5) within the bottom menu of the lower capacitor * P7(-1. 5, -2. 25) in the middle of the reduced capacitor

2. P8(-1. 5, -3) below the upper dish of the reduced capacitor 2. P9(-1. your five, -4) over the lower capacitor

* P10(2. 8, 0) in the dielectric

* P11(3. 2, 0) beyond the dielectric

The geometric unit

The geometric model designed in QuickField 4. 2 is definitely:

In this unit, all the conductors have duration 3 centimeter. The starting points are: for C1 (-3, 3), for C2 (-3, 1), for C3 (-3, -1) and for C4 (-3, -3). All the conductors end in the 0Y axis. The dielectric has a continuous width of just one. 5 cm and has an initial electric powered permittivity of three F/m. The outer border is known as a square of 18 centimeter which restrictions the air stop and imposes the condition to get the electric potential to end up being 0.

The mesh testing

We will certainly test three meshes, one of about 55 nodes, one among about 90 nodes and one of above 200 nodes in order to prove that the last one is the most accurate and to get the one appropriate for us. For every mesh we will gauge the electric discipline strength E( in V/m) the electric powered potential U( in V).

| Mesh1 52 nodes| Mesh2 ciento tres nodes| Mesh3 232 nodes

Points| | |

| U (V)| E (V/m)| U (V)| E (V/m)| U (V)| E (V/m)| P1| several. 95E+07| 1 ) 095E+11| 6th. 727E+07| several. 492E+11| -2. 012E+07| almost eight. 612E+11| P2| 7. 139E+08| 4. 235E+11| -1. 583E+08| 1 . 495E+12| -1. 818E+08| 5. 946E+11| P3| -2. 798E+09| a few. 112E+11| -4. 420E+09| 5. 893E+11| -4. 695E+09| 6. 119E+11| P4| -7. 148E+09| 5. 132E+11| -9. 053E+09| 6. 047E+11| -9. 380E+09| 6. 356E+11| P5| -1. 080E+10| 2 . 034E+11| -1. 510E+10| 5. 623E+11| -1. 590E+10| your five. 670E+11| P6| -5. 120E+08| 4. 458E+11| -1. 375E+08| 1 . 380E+12...