LCT10CapacitanceInductance.pdf

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Microsoft PowerPoint - LCT10CapacitanceInductance.ppt

Electrical

ENGINEERING

INTRODUCTION TO

CIRCUIT ANALYSIS

10. CAPACITANCE AND INDUCTANCE

Prof. dr hab. in Ň . Tadeusz Skoczkowski

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CAPACITANCE AND INDUCTANCE

Introduces two passive, energy storing devices: Capacitors and Inductors

LEARNING GOALS

CAPACITORS

Store energy in their electric field (electrostatic energy)

Model as circuit element

INDUCTORS

Store energy in their magnetic field

Model as circuit element

CAPACITOR AND INDUCTOR COMBINATIONS

Series/parallel combinations of elements

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CAPACITORS

First of the energy storage devices to be discussed

Typical Capacitors

Basic parallel-plates capacitor

CIRCUIT REPRESENTATION

NOTICE USE OF PASSIVE SIGN CONVENTION

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C

=

e

A

d

e

Dielectric

constant

of

material

in

gap

PLATE SIZE FOR EQUIVALENT AIR-GAP CAPACITOR

8

85

×

10

12

A

8

2

55

F

=

¼

A

=

6

3141

×

10

m

1

016

×

10

−

4

Normal values of capacitance are small.

Microfarads is common.

For integrated circuits nano or pico farads

are not unusual

−

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Basic capacitance law

Q =

f

( V

)

Linear capacitors obey CoulombÓs law

Q =

CV

C

C is called the CAPACITANCE of the device and has

units of

voltage

One Farad(F)is the capacitance of a device that can

store one Coulomb of charge at one Volt.

Linear capacitor circuit representation

Coulomb

Farad =

Volt

EXAMPLE Voltage across a capacitor of 2 micro

Farads holding 10mC of charge

V C

=

1

Q

=

1

10

*

10

−

3

=

5000

V

C

2

*

10

−

6

Capacitance in Farads, charge in Coulombs

result in voltage in Volts

Capacitors can be dangerous!!!

charge

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Plik z chomika:

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LCT10CapacitanceInductance.pdf (2407 KB)

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