Kev siv txoj cai thawj zaug ntawm thermodynamics hauv qee cov txheej txheem thermodynamic (Isobaric Isothermal Isochoric)

30 Kev siv txoj cai thawj zaug ntawm thermodynamics hauv qee cov txheej txheem thermodynamic (Isobaric Isothermal Isochoric) 1. Daim duab hauv qab no qhia txog lub voj voog thermodynamic uas muaj roj. Cov haujlwm ua los ntawm roj ntawm cov txheej txheem ABCD yog ... Paub: Siab 1 (P1) = 2 x 105 Pa Siab 2 (P2) = 4 x 105 ... nyeem ntxiv

Txoj cai thib ib ntawm thermodynamics - teeb meem thiab kev daws teeb meem

30 Txoj cai thawj zaug ntawm thermodynamics - teeb meem thiab kev daws teeb meem 1. 3000 J ntawm cua sov raug ntxiv rau hauv ib lub cev thiab 2500 J ntawm kev ua haujlwm raug ua los ntawm lub cev. Qhov kev hloov pauv ntawm lub zog sab hauv ntawm lub cev yog dab tsi? Paub: Cua sov (Q) = +3000 Joules Ua Haujlwm (W) = +2500 Joules Xav tau: qhov kev hloov pauv ... nyeem ntxiv

Kev tshawb fawb txog kinetic ntawm cov pa roj - cov teeb meem thiab kev daws teeb meem

1. Ikev lag luam roj hauv ib qho kaw lub thawv thaum xub thawj muaj ntim V thiab siab P. Yog tias qhov siab kawg yog 4P thiab qhov ntim tsis hloov pauv, qhov ra yog dab tsi?tio ntawm lub zog kinetic pib nrog qhov kawg kev tig tau lub zog.

Paub:

Lub siab pib (P1) = P

Qhov siab kawg (P2) = 4P

Lub ntim pib (V1) = V

Qhov ntim kawg (V2) = V

SE pob: Qhov piv ntawm lub zog kinetic pib rau lub zog kinetic kawg (KE1 :KE2)

Tshuaj:

Qhov kev sib raug zoo ntawm lub zog siab (P), ntim (V) thiab lub zog kinetic (KE) ntawm cov pa roj zoo tagnrho :

Kev tshawb fawb txog cov pa roj Kinetic - teeb meem thiab kev daws teeb meem 18

Qhov piv ntawm lub zog kinetic pib rau lub zog kinetic kawg:

Kev tshawb fawb txog cov pa roj Kinetic - teeb meem thiab kev daws teeb meem 19

2. Lub zog kinetic nruab nrab ntawm cov molecules hauv cov roj zoo tagnrho ntawm 57 yog dab tsi?oC.

Paub:

Kub ntawm roj (T) = 57oC + 273 = 330 Kelvin

Boltzmanntus tas li (k) = 1.38 x 10-23 Joule/Kelvin

SE pob: Lub zog kinetic nruab nrab ntawm kev txhais lus

Tshuaj:

Kev sib raug zoo ntawm lub zog kinetic (KE) thiab kub ntawm cov roj (T):

Kev tshawb fawb txog cov pa roj Kinetic - teeb meem thiab kev daws teeb meem 3

Lub zog kinetic nruab nrab ntawm kev hloov pauv:

Kev tshawb fawb txog cov pa roj Kinetic - teeb meem thiab kev daws teeb meem 4

3. Ib qho roj av ntawm 27oC nyob rau hauv ib lub thawv kaw. Yog tias lub zog kinetic ntawm cov roj nce 2 npaug ntawm lub zog kinetic pib, yog li qhov kub kawg ntawm cov roj yog ...

Paub:

Kub pib (T1= 27 TZSoC + 273 = 300 K

Lub zog pib ntawm lub zog = KE

Lub zog kinetic kawg = 4 KE

SE pob: Qhov kub kawg (T2)

Tshuaj:

Kev tshawb fawb txog cov pa roj Kinetic - teeb meem thiab kev daws teeb meem 5

4. Ib qho roj zoo tagnrho nyob rau hauv ib lub thawv kaw, nws raug cua sov kom qhov ntawd yog qhov kawg qhov nruab nrab ntawm qhov ceev ntawm cov khoom me me ntawm cov roj nce ntxiv 3 zaug ntawm qhov nruab nrab pib. Yog tias qhov kub ntawm cov roj pib yog 27oC, ces qhov kub kawg ntawm cov roj zoo tagnrho yog ...

Paub:

Kub pib = 27oC + 273 = 300 Kelvin

Qhov ceev pib = v

Qhov ceev kawg = 2v

xav : Twmqhov kub kawg ntawm cov roj zoo tagnrho

Tshuaj:

Kev tshawb fawb txog cov pa roj Kinetic - teeb meem thiab kev daws teeb meem 20

Qhov nruab nrab kawg ntawm qhov ceev = 2 x qhov nruab nrab ntawm qhov ceev pib

Kev tshawb fawb txog cov pa roj Kinetic - teeb meem thiab kev daws teeb meem 7

5. Peb moles ntawm cov roj nyob rau hauv ib qho chaw ntim 36 litres. Txhua lub molecule roj muaj lub zog kinetic ntawm 5 x 10-21 Joule. Universal gas constant = 8.315 J/mole.K thiab Boltzmann's constant = 1.38 x 10-23 J/K. Lub zog roj hauv lub thawv yog dab tsi.

Paub:

Tus naj npawb ntawm moles (n) = 3 moles

Ntim = 36 liv = 36 dm3 Luas = 36 x 10-3 m3

Boltzmann tus nqi tas mus li (k) = 1.38 x 10-23 J/K

Lub zog Kinetic (KE) = 5 x 10-21 Joule

Lub zog roj tas mus li (R) = 8.315 J/mole.K

xav : Roj siab (P)

Tshuaj:

Xam qhov kub los ntawm kev siv cov qauv ntawm lub zog kinetic ntawm cov roj.

Kev tshawb fawb txog cov pa roj Kinetic - teeb meem thiab kev daws teeb meem 8

Xam qhov siab ntawm cov roj siv cov qauv ntawm txoj cai roj zoo tagnrho (hauv tus lej ntawm moles, n):

PV = n RT

P (36 x 10-3) = (3)(8.315)(241.5)

P (36 x 10-3= 6024.22 TZS

Kev tshawb fawb txog cov pa roj Kinetic - teeb meem thiab kev daws teeb meem 9

Lub zog ntawm cov roj yog 1.67 x 105 Pascal los yog 1.67 atmospheres.

nyeem ntxiv

Txoj Cai Lij Choj Zoo Tshaj Plaws - Cov Teeb Meem thiab Kev daws teeb meem

1. Kuvkev lag luam roj hauv ib qho kaw lub thawv thaum xub thawj muaj ntim V thiab kub Q. Qhov kub kawg yog 5/4T thiab qhov kub kawg yog siab yog 2P. Qhov ntim kawg ntawm cov roj yog dab tsi?

Paub:

Qhov ntim pib (V1) = V

Kub pib (T1) = T

Qhov kub kawg (T2) = 5/4 T

Lub siab pib (P1) = P

Qhov siab kawg (P2) = 2P

SE pob: Qhov ntim kawg (V2)

Tshuaj:

Txoj Cai Lij Choj Zoo Tshaj Plaws ntawm Cov Pa roj - Teeb Meem thiab Kev Dais Teeb Meem 1

2. Txheeb xyuas qhov ntim ntawm 2.00 moles ntawm cov pa roj (cov pa roj zoo tagnrho) ntawm STP. STP = Qhov Kub thiab Siab Txheem.

Paub:

Cov pa roj (n) = 2 moles

Qhov kub thiab txias (T) = 0 oC = 0 + 273 = 273 Kelvin

Lub siab txheem (P) = 1 atm = 1.013 x 105 Pa

Lub zog roj tas mus li (R) = 8.315 Joules/mole.Kelvin

xav Qhov ntim ntawm cov pa roj (V)

Tshuaj:

Kev sib npaug ntawm Txoj cai lij choj roj zoo tagnrho (hauv tus naj npawb ntawm moles, n)

Txoj Cai Lij Choj Zoo Tshaj Plaws ntawm Cov Pa roj - Teeb Meem thiab Kev Dais Teeb Meem 2

Qhov ntim ntawm 2 moles ntawm cov pa roj yog 44.8 litres.

Qhov ntim ntawm 1 mole ntawm cov pa roj yog 45.4 litres / 2 = 22.4 litres.

Qhov ntim ntawm 1 mole ntawm ib qho roj yog 22.4 litres.

3. 4 liv ntawm cov pa oxygen muaj qhov kub ntawm 27°C thiab siab ntawm 2 atm (1 atm = 105 Pa) nyob rau hauv ib lub thawv kaw. Universal gas constant (R) = 8.314 J.mole-1.K-1 thiab Avogadro tus lej (NA= 6.02 TZS X XUM23 cov molecule/moleCov molecule ntawm cov pa oxygen hauv lub thawv yog dab tsi?

Paub:

Qhov ntim ntawm cov pa roj (V) = 4 liv = 4 dm3 Luas = 4 x 10-3 m3

Kub ntawm cov pa roj (T) = 27oC = 27 + 273 = 300 Kelvin

Siab ntawm cov pa roj (P) = 2 atm = 2 x 105 Pa

Cov roj tas mus li (R) = 8.314 J.mole-1.K-1

Tus lej Avogadro (N)A) = 6.02 x 1023

xav Cov pa oxygen hauv lub thawv yog dab tsi (N)

Tshuaj:

Txoj Cai Lij Choj Zoo Tshaj Plaws ntawm Cov Pa roj - Teeb Meem thiab Kev Dais Teeb Meem 3

Hauv 1 mole ntawm cov pa oxygen, muaj 1.93 x 1023 cov pa oxygen molecule.

4. Ib lub thawv uas muaj cov roj neon (Ne, atomic mass = 20 u) ntawm qhov kub thiab txias thiab siab (STP)) muaj qhov loj li 2 m3Txheeb xyuas qhov hnyav ntawm cov roj neon!

Paub:

Qhov hnyav ntawm neon = 20 grams/mole = 0,02 kg/mole

Kub txheem (T) = 0oC = 273 Kelvin

Txheem siab (P) = 1 atm = 1.013 x 105 Pascal

Ntim (V) = 2 m3

xav : loj (M) ntawm cov pa roj neon

Tshuaj:

Ntawm qhov kub thiab txias ib txwm muaj (STP), 1 mole ntawm cov pa roj, suav nrog cov roj neon, muaj ntim 22.4 litres = 22.4 dm3 = 0.0448 m3.

Txoj Cai Lij Choj Zoo Tshaj Plaws ntawm Cov Pa roj - Teeb Meem thiab Kev Dais Teeb Meem 4

Hauv qhov ntim ntawm 2 m3muaj 44.6 moles ntawm cov roj neon.

Qhov hnyav atomic ntawm cov roj neon yog 20 grams/mole.

Qhov no txhais tau hais tias hauv 1 mole muaj 20 grams lossis 0.02 kg ntawm cov roj neon. Vim tias hauv 1 mole muaj 0.02 kg ntawm cov roj neon ces hauv 44.6 mole muaj 44.6 moles x 0.02 kg/mole = 0.892 kg = 892 grams ntawm cov roj neon.

nyeem ntxiv

Txoj Cai Gay-Lussac (qhov ntim tas mus li) - teeb meem thiab kev daws teeb meem

1. Icov pa roj sib cog lus thaum xub thawj muaj siab P thiab kub T. Cov roj av dhau los ntawm cov txheej txheem isochoric yog li ntawd qhov siab kawg yuav dhau los ua 4 npaug ntawm qhov siab pib. Qhov kub kawg ntawm cov roj yog dab tsi?

Paub:

Lub siab pib (P1) = P

Qhov siab kawg (P2) = 4P

Kub pib (T1) = T

SE pob: Qhov kub kawg (T2)

Tshuaj:

Cov mis ntawm Txoj Cai Gay-Lussac :

Txoj Cai Gay-Lussac (qhov ntim tas mus li) - teeb meem thiab kev daws teeb meem 1

Qhov kub kawg yuav nce mus txog 4 npaug ntawm qhov kub pib.

2. Hauv lub thawv kaw, cov pa roj zoo tagnrho pib muaj qhov kub ntawm 27oC. Yog tias qhov siab kawg dhau los ua 2 npaug ntawm qhov siab pib, qhov kub kawg yog dab tsi?

Paub:

Lub siab pib (P1) = P

Qhov siab kawg (P2) = 2P

Kub pib (T1= 27 TZSoC + 273 = 300 K

SE pob: Qhov kub kawg (T2)

Tshuaj:

Txoj Cai Gay-Lussac (qhov ntim tas mus li) - teeb meem thiab kev daws teeb meem 2

3. Lub log tsheb raug puv kom txog qhov siab ntawm 2 atm ntawm 27°C. Tom qab tsav tsheb tas, qhov kub hauv lub log tsheb nce mus txog 47°C. Qhov siab hauv lub log tsheb tam sim no yog dab tsi?

Paub:

Lub zog siab ntawm huab cua = 1 atm = 1 x 105 Pa

Lub ntsuas cua pib = 2 atm = 2 x 105 Pa

Qhov pib siab kiag li (P1) = 1 atm + 2 atm = 3 atm = 3 x 105 Pa

Qhov kub pib (T)1= 27 TZSoC + 273 = 300 K

Qhov kub kawg (T)1= 47 TZSoC + 273 = 320 K

Xav tau: Qhov kub kawg ntawm lub ntsuas kub

Tshuaj:

Txoj Cai Gay-Lussac (qhov ntim tas mus li) - teeb meem thiab kev daws teeb meem 3

Qhov kawg ntawm lub ntsuas cua = qhov kawg ntawm lub siab - qhov kawg ntawm lub siab

Qhov kawg gauge siab = 3.2 atm - 1 atm

Qhov kawg gauge siab = 2.2 atm

nyeem ntxiv

Txoj Cai Charles (kev nyuaj siab tas li) - teeb meem thiab kev daws teeb meem

1. Hauv ib lub thawv kaw, cov pa roj nthuav dav kom qhov ntim kawg dhau los ua 3 npaug ntawm qhov ntim pib (V = ntim pib, T = pib kub). Qhov kub kawg yog dab tsi?

Paub:

Qhov ntim pib (V1) = V

Qhov ntim kawg (V2) = 3V

Kub pib (T1) = T

SE pob: Qhov kub kawg (T2)

Tshuaj:

Cov mis ntawm Txoj cai lij choj ntawm Charles :

Txoj Cai Charles (kev nyuaj siab tas li) - teeb meem thiab kev daws teeb meem 1

Qhov kub kawg ntawm cov pa roj dhau los ua 3 npaug ntawm qhov kub pib.

2. KuvCov pa roj sib pauv pib muaj ntim V thiab kub T. Yog tias cov pa roj hla dhau cov txheej txheem isobaric yog li ntawd qhov kub thiab txias yuav nce 2 npaug ntawm qhov kub pib ces qhov ntim kawg ntawm cov pa roj yuav nce ntxiv...

Paub:

Qhov ntim pib (V1) = V

Kub pib (T1) = T

Qhov kub kawg (T2) = 2T

SE pob: qhov ntim kawg (V2)

Tshuaj:

Txoj Cai Charles (kev nyuaj siab tas li) - teeb meem thiab kev daws teeb meem 2

Qhov ntim kawg ntawm cov pa roj dhau los ua 2 npaug ntawm qhov ntim pib.

3. Hauv lub thawv kaw, cov pa roj zoo tagnrho pib muaj qhov ntim ntawm 2 liv thiab qhov kub ntawm 27oC. Yog tias qhov ntim kawg ntawm cov pa roj dhau los ua 3 liv ces qhov kub kawg yog…

Paub:

Qhov ntim pib (V1) = 2 liv = 2 dm3 Luas = 2 x 10-3 m3

Qhov ntim kawg (V2) = 3 liv = 3 dm3 Luas = 3 x 10-3 m3

Kub pib (T1= 27 TZSoC + 273 = 300 K

Xav tau: Qhov kub kawg (T2)

Tshuaj:

Txoj Cai Charles (kev nyuaj siab tas li) - teeb meem thiab kev daws teeb meem 3

Qhov kub kawg yog 177oC los yog 177 + 273 = 450 Kelvin.

nyeem ntxiv

Boyle txoj cai (kub tas li) - teeb meem thiab kev daws teeb meem

1. Qee cov pa roj zoo tagnrho thaum xub thawj muaj siab P thiab ntim V. Yog tias cov roj hla dhau cov txheej txheem isothermal yog li ntawd qhov siab kawg yuav dhau los ua 4 npaug ntawm qhov siab pib, ces qhov ntim roj kawg yog ...

Paub:

Lub siab pib (P1) = P

Qhov siab kawg (P2) = 4P

Lub ntim pib (V1) = V

SE pob: Qhov ntim kawg (V2)

Tshuaj:

Cov mis ntawm Boyle txoj cai lij choj :

PWV = qhov

P1 V1 = P2 V2

(P)(V) = (4P)(V)2)

V = 4 V2

V2 = V / 4 = ¼ V

Qhov ntim kawg ntawm cov pa roj yog ¼ npaug ntawm qhov ntim pib.

2. Hauv ib lub thawv kaw, cov pa roj nthuav dav kom kawg ntim yuav 2 npaug ntawm qhov ntim pib (V = qhov ntim pib, P = qhov siab pib). Lub zog kawg ntawm cov pa roj yog…

Paub:

Lub siab pib (P1) = P

Lub ntim pib (V1) = V

Qhov ntim kawg (V2) = 2V

xav : Qhov siab kawg (P2)

Tshuaj:

P1 V1 = P2 V2

PWV = P2 (2V)

P = P2 (2)

P2 = P / 2 = ½ P

Lub zog roj dhau los ua ½ npaug ntawm lub zog pib.

3. Hauv ib lub thawv kaw, cov pa roj muaj lub siab ntawm 2 atm thiab qhov ntim ntawm 1 liter. Yog tias lub siab ntawm cov pa roj dhau los ua 4 atm ces qhov ntim ntawm cov pa roj dhau los ua...

Paub:

Lub siab pib (P1) = 2 atm = 2 x 105 Pa

Qhov siab kawg (P2) = 4 atm = 4 x 105 Pa

Lub ntim pib (V1) = 1 liv = 1 dm3 Luas = 1 x 10-3 m3

xav : Qhov ntim kawg (V2)

Tshuaj:

P1 V1 = P2 V2

(2 x 105)(1 x 10-3) = (4 x 105) V2

(1)(1 x 10-3) = (2) V2

1 x 10-3 = (2) V2

V2 = ½ x 10-3

V2 Luas = 0.5 x 10-3 m3 = 0.5 dm3 = 0.5 livs

nyeem ntxiv

Cov Capacitors hauv series thiab parallel - teeb meem thiab kev daws teeb meem

1. Peb lub capacitors, C1 = 2 μF, C2 = 4 μF, C3 = 4 μF, yog txuas ua ke hauv series thiab parallelTxheeb xyuas qhov capacitance ntawm ib lub capacitor uas yuav muaj tib lub zog li kev sib xyaw ua ke.

Cov Capacitors hauv series thiab parallel - teeb meem thiab kev daws teeb meem 1Paub:

Capacitor C1 = 2 μF

Lub Capacitor C2 = 4 μF

Lub Capacitor C3 = 4 μF

Xav tau: Qhov sib npaug ntawm lub peev xwm (C)

Tshuaj:

Capacitor C2 thiab C3 txuas ua ke. Lub peev xwm sib npaug:

CP = C2 +C3 Luas = 4 + 4 = 8 μF

Capacitor C1 thiab Cp txuas nrog ua ke. Lub peev xwm sib npaug:

1/C = 1/C1 + 1/CP = 1/2 + 1/8 = 4/8 + 1/8 = 5/8

C = 8/5 μF

2. Tsib cov capacitors, C1 = 2 μF, C2 = 4 μF, C3 = 6 μF, C4 = 5 μF, C5 = 10 μF, txuas ua ke ua series thiab parallel. Txheeb xyuas qhov capacitance ntawm ib lub capacitor uas yuav muaj tib yam li kev sib xyaw ua ke.

Paub:

Cov Capacitors hauv series thiab parallel - teeb meem thiab kev daws teeb meem 2Lub Capacitor C1 = 2 μF

Lub Capacitor C2 = 4 μF

Lub Capacitor C3 = 6 μF

Lub Capacitor C4 = 5 μF

Lub Capacitor C5 = 10 μF

Xav tau: Qhov sib npaug ntawm lub peev xwm (C)

Tshuaj:

Capacitor C2 thiab C3 txuas nrog ua ke. Lub peev xwm sib npaug:

CP = C2 +C3

CP = 4 + 6

CP = 10 μF

Capacitor C1, CP, C4 thiab C5 tau txuas ua ke. Lub peev xwm sib npaug:

1/C = 1/C1 + 1/CP + 1/C4 + 1/C5

1/C = 1/2 + 1/10 + 1/5 + 1/10

1/C = 5/10 + 1/10 + 2/10 + 1/10

1/C = 9/10

C = 10/9 μF

3 C1 = 3 μF, C2 = 4 μF thiab C3 = 3 μF, txuas ua ke ua series thiab parallel. Txheeb xyuas qhov hluav taws xob zog nyob rau hauv cov circuits.

Paub:

Lub Capacitor C1 = 3 μFCov Capacitors hauv series thiab parallel - teeb meem thiab kev daws teeb meem 3

Lub Capacitor C2 = 4 μF

Lub Capacitor C3 = 3 μF

Xav tau: Qhov sib npaug ntawm lub peev xwm (C)

Tshuaj:

Capacitor C2 thiab C3 txuas nrog ua ke. Lub peev xwm sib npaug:

CP = C2 +C3

CP = 4 + ib 3

CP = 7 μF

Capacitor C1 thiab CP tau txuas ua ke. Lub peev xwm sib npaug:

1/C = 1/C1 + 1/CP

1/C = 1/3 + 1/7

1/C = 7/21 + 3/21

1/C = 10/21

C = 21/10

C = 2.1 μF

C = 2.1 x 10-6 F

Lub zog ntawm cov circuits:

E = ½ CV2

E = ½ (2.1 x 10-6)(122)

E = ½ (2.1 x 10)-6)(144)

E = (2.1 x 10-6)(72)

E = 151.2 x 10-6 Joule

E = 1.5 x 10-4 Joule

nyeem ntxiv

Capacitors hauv series - teeb meem thiab kev daws teeb meem

1. Plaub lub capacitors, C1 = 2 μF, C2 = 1 μF, C3 = 3 μF, C4 = 4 μF, txuas nrog rau hauv seriesTxheeb xyuas qhov capacitance ntawm ib qho capacitor qhov ntawd yuav muaj tib qho txiaj ntsig zoo li kev sib xyaw ua ke.

Paub:

Lub Capacitor C1 = 2 μF

Lub Capacitor C2 = 1 μF

Lub Capacitor C3 = 3 μF

Lub Capacitor C3 = 4 μF

Xav tau: Qhov sib npaug ntawm lub peev xwm

Tshuaj:

Lub peev xwm sib npaug:

1/C = 1/C1 + 1/C2 + 1/C3 + 1/C4

1/C = 1/2 + 1/1 + 1/3 + 1/4

1/C = 6/12 + 12/12 + 4/12 + 3/12

1/C = 25 / 12

C = 12 / 25

C = 0.48

Qhov sib npaug ntawm lub peev xwm ntawm tag nrho cov kev sib xyaw ua ke is 0.48 μF.

2. Txheeb xyuas qhov them ntawm lub capacitor C1 yog hais tias tus qhov sib txawv ntawm qhov muaj peev xwm ntawm P thiab Q is 12 Volt…

Cov Capacitors hauv series - teeb meem thiab kev daws teeb meem 1Paub:

Lub Capacitor C1 = 10 μF = 10 x 10-6 F

Lub Capacitor C2 = 20 μF = 20 x 10-6 F

Qhov sib txawv ntawm qhov muaj peev xwm (V) = 12 Volt

Xav tau: lub zog ntawm lub capacitor C1 (Q1)

Tshuaj:

Lub peev xwm sib npaug:

1/C = 1/C1 + 1/C2

1/C = 1/10 + 1/20 = 2/20 + 1/20 = 3/20

C = 20/3 μF = (20/3) x 10-6 F

Raug nqi ntawm qhov sib npaug ntawm capacitor:

Q = (C)(V) = (20/3)(12)(10)-6) = 80 x 10-6 C

Q = 80 μC

Cov capacitors txuas ua ke hauv series yog li ntawd lub zog hluav taws xob ntawm cov capacitors sib npaug = lub zog hluav taws xob ntawm cov capacitors C1 = lub zog hluav taws xob ntawm lub capacitor C2.

Lub zog hluav taws xob ntawm lub capacitor C1 yog 80 μC.

3. Ob lub capacitors, C1 = 2 μF thiab C2 = 4 μF, tau txuas ua ke. Cov capacitors raug them. Qhov sib txawv ntawm lub peev xwm ntawm capacitor C1 yog 2 Volts. Lub zog hluav taws xob ntawm lub capacitor C2 yog ...

Paub:

Cpab apacitor C1 = 2 μF = 2 x 10-6 F

Cpab apacitor C2 = 4 μF = 4 x 10-6 F

Qhov sib txawv ntawm lub peev xwm ntawm lub capacitor C1 (V1) = 2 Volt

xav : Lub zog hluav taws xob ntawm lub capacitor C2.

Tshuaj:

Lub zog hluav taws xob ntawm lub capacitor C1 :

Q1 = C1 V1 = (2 x 10-6)(2) = 4 x 10-6 C

Q1 = 4 μC

Cov capacitors txuas ua ke hauv series kom lub zog hluav taws xob ntawm lub capacitor C1 = lub zog hluav taws xob ntawm lub capacitor C2.

Lub zog ntawm lub capacitor C2 is 4 μC.

nyeem ntxiv

Capacitors nyob rau hauv parallel - teeb meem thiab kev daws teeb meem

1. Plaub capacitors, C1 = 2 μF, C2 = 1 μF, C3 = 3 μF, C4 = 4 μF, txuas ua ke. Txheeb xyuas qhov capacitance ntawm ib lub capacitor uas yuav muaj tib yam li kev sib xyaw ua ke.

Paub:

Capacitor C1 = 2 μF

Capacitor C2 = 1 μF

Capacitor C3 = 3 μF

Capacitor C3 = 4 μF

Xav tau: Qhov sib npaug ntawm lub peev xwm

Tshuaj:

Lub peev xwm sib npaug:

C = C1 +C2 +C3

C = 4 μF+2 μF+3 μF = 9 μF

Lub peev xwm sib npaug ntawm tag nrho cov kev sib xyaw ua ke yog 9 μF.

2. Txiav txim lub them ntawm lub capacitor C2 yog hais tias tus qhov sib txawv ntawm qhov muaj peev xwm nruab nrab ntawm qhov A thiab B yog 9 Volts…

Cov Capacitors nyob rau hauv parallel - teeb meem thiab kev daws teeb meem 1

Paub:

Cpab apacitor C1 = 20 μF = 20 x 10-6 F

Cpab apacitor C2 = 30 μF = 30 x 10-6 F

Qhov sib txawv ntawm cov ntsiab lus A thiab B (V)AB) = 9 Volt

xav : lub zog ntawm lub capacitor C2 (Q2)

Tshuaj:

Qhov txawv ntawm qhov muaj peev xwm:

Cov capacitors txuas nrog ua ke yog li ntawd qhov sib txawv ntawm A thiab B (V)AB) = qhov sib txawv ntawm lub peev xwm ntawm lub capacitor C1 (V1) = qhov sib txawv ntawm lub peev xwm ntawm lub capacitor C2 (V2) = 9 Volts.

Lub zog hluav taws xob ntawm lub capacitor C2 :

Q2 = C2 V2 = (30 x 10-6)(9) = 270 x 10-6 C

Q2 = 270 μC

Lub zog hluav taws xob ntawm lub capacitor C2 is 270 μC.

3. peb cov capacitors, C1 = 4 μF, C2 = 2 μF, C3 = 3 μF, txuas ua ke. Cov capacitors raug them. Qhov sib txawv ntawm lub peev xwm ntawm capacitor C2 yog 4 Volts. Txheeb xyuas

(a) Lub zog hluav taws xob ntawm lub capacitor C1, C2 thiab C3

(b) Lub zog hluav taws xob ntawm lub capacitor sib npaug ntawm tag nrho cov kev sib xyaw ua ke

Paub:

Cpab apacitor C1 = 4 μF = 4 x 10-6 F

Club capacitor C2 = 2 μF = 2 x 10-6 F

Club capacitor C3 = 3 μF = 3 x 10-6 F

Qhov sib txawv ntawm lub capacitor C2 (V2) = 4 Volt

xav : Lub zog hluav taws xob ntawm lub capacitor C3 (Q3)

Tshuaj:

(A) Lub zog hluav taws xob ntawm lub capacitor C3

Qhov sib txawv ntawm lub peev xwm ntawm lub capacitor C3 :

Cov capacitors txuas nrog parallel kom qhov sib txawv ntawm lub peev xwm ntawm capacitor C3 (V3) = qhov sib txawv ntawm lub peev xwm ntawm lub capacitor C2 (V2) = qhov sib txawv ntawm lub peev xwm ntawm lub capacitor C1 (V1) = qhov sib txawv ntawm cov capacitors sib npaug (V) = 4 Volt

Lub zog hluav taws xob ntawm lub capacitor C1 :

Q1 = C1 V1 = (4 x 10-6)(4) = 16 x 10-6 C

Q1 = 16 μC

Lub zog hluav taws xob ntawm lub capacitor C2 :

Q2 = C2 V2 = (2 x 10-6)(4) = 8 x 10-6 C

Q2 = 8 μC

Lub zog hluav taws xob ntawm lub capacitor C3 :

Q3 = C3 V3 = (3 x 10-6)(4) = 12 x 10-6 C

Q3 = 12 μC

(B) Lub zog hluav taws xob ntawm lub capacitor sib npaug

Q = Q1 + Q2 + Q3

Q = 16 μC + 8 μC + 12 μC = 36 μC

Lwm txoj kev daws teeb meem:

Lub peev xwm sib npaug:

C = C1 +C2 +C3

C = 4 μF+2 μF+3 μF = 9 μF

C = 9 x 10-6 F

Qhov sib txawv ntawm qhov sib npaug ntawm lub capacitor:

V1 =V2 =V3 = V = 4 Volt

Lub zog hluav taws xob ntawm lub capacitor sib npaug:

Q = CV = (9 x 10)-6)(4) = 36 x 10-6 C

Q = 36 μC

nyeem ntxiv