physics

1. Kuv muab cov pa roj tso rau hauv lub thawv kaw thaum xub thawj muaj qhov ntim V thiab qhov siab P. Yog tias qhov siab kawg yog 4P thiab qhov ntim tsis hloov pauv, qhov sib piv ntawm lub zog kinetic pib nrog lub zog kinetic kawg yog dab tsi.

Paub:

Lub siab pib (P1 ₎ = P

Qhov siab kawg (P2 ₎ = 4P

Qhov ntim pib (V ₁ ) = V

Qhov ntim kawg (V ₂ ) = V

Xav tau: Qhov piv ntawm lub zog kinetic pib rau lub zog kinetic kawg (K E ₁ : K E ₂ )

Tshuaj:

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

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

[irp]

2. Lub zog kinetic nruab nrab ntawm cov molecule hauv cov roj zoo tagnrho ntawm 57 ^o C yog dab tsi.

Paub:

Kub ntawm roj (T) = 57 ^o C + 273 = 330 Kelvin

Boltzmann tus nqi tas mus li (k) = 1.38 x 10 ^-23 Joule/Kelvin

Xav tau: Lub zog kinetic nruab nrab ntawm kev hloov pauv

Tshuaj:

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

Lub zog kinetic nruab nrab ntawm kev hloov pauv:

[irp]

3. Ib lub roj uas muaj qhov kub ntawm 27 ^o C 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 ^o C + 273 = 300 K

Lub zog pib ntawm lub zog = KE

Lub zog kinetic kawg = 4 K E

Xav tau: Qhov kub kawg (T ₂ )

Tshuaj:

[irp]

4. Ib qho roj zoo tagnrho nyob hauv ib lub thawv kaw, raug cua sov kom qhov nruab nrab ntawm cov khoom me me ntawm cov roj nce 3 npaug ntawm qhov nruab nrab ntawm thawj qhov ceev. Yog tias qhov kub ntawm cov roj pib yog 27 ^o C, ces qhov kub kawg ntawm cov roj zoo tagnrho yog ...

Paub:

Kub pib = 27 ^o C + 273 = 300 Kelvin

Qhov ceev pib = v

Qhov ceev kawg = 2v

Xav tau : Qhov kub kawg ntawm cov roj zoo tagnrho

Tshuaj:

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

[irp]

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

Paub:

Tus naj npawb ntawm moles (n) = 3 moles

Ntim = 36 liv = 36 dm ³ = 36 x 10 ^-3 m ³

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

Lub zog Kinetic (KE) = 5 x 10 ^–21 Joules

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

Xav tau : Gas siab (P)

Tshuaj:

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

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

Lub siab ntawm cov roj yog 1.67 x 10 ⁵ Pascal lossis 1.67 atmospheres.

nyeem ntxiv

1. Kuv muab cov pa roj tso rau hauv lub thawv kaw, thaum xub thawj muaj qhov ntim V thiab qhov kub T. Qhov kub kawg yog 5/4T thiab qhov siab kawg yog 2P. Qhov ntim kawg ntawm cov pa roj yog dab tsi?

Paub:

Qhov ntim pib (V ₁ ) = V

Kub pib (T ₁ ) = T

Qhov kub kawg (T ₂ ) = 5/4 T

Lub siab pib (P1 ₎ = P

Qhov siab kawg (P2 ₎ = 2P

Xav Tau: Zaj Kawg (V ₂ )

Tshuaj:

[irp]

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

Paub:

Moles ntawm cov roj (n) = 2 moles ntawm dej khov

Qhov kub txheem (T) = 0 ^o C = 0 + 273 = 273 Kelvin

Lub siab txheem (P) = 1 atm = 1.013 x 10 ⁵ Pa

Universal gas tas li (R) = 8.315 Joule/mol e .Kelvin

Xav tau : Qhov ntim ntawm cov pa roj (V)

Tshuaj:

Kev sib npaug ntawm txoj cai roj zoo tagnrho (hauv tus lej ntawm moles, n)

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.

[irp]

3. 4 liv ntawm cov pa oxygen muaj qhov kub ntawm 27 ° C thiab siab ntawm 2 atm (1 atm = 105 ^Pa ) hauv lub thawv kaw. Universal gas constant (R) = 8.314 J.mol e ⁻¹ .K ⁻¹ thiab Avogadro tus lej ( N _​​A ) = 6.02 x ¹⁰²³ molecules / mol e . Cov molecules ntawm cov pa oxygen hauv lub thawv yog dab tsi?

Paub:

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

Kub ntawm cov pa roj (T) = 27 ^o C = 27 + 273 = 300 Kelvin

Siab ntawm cov pa roj (P) = 2 atm = 2 x 10 ⁵ Pa

Cov roj tas mus li (R) = 8.314 J.mol e ⁻¹ .K ⁻¹

Avogadro tus lej (N _A ) = 6.02 x ¹⁰²³

Xav tau : Cov pa oxygen hauv lub thawv yog dab tsi (N)

Tshuaj:

Hauv 1 mole ntawm cov pa oxygen, muaj 1.93 x 10 ²³ cov pa oxygen.

[irp]

4. Ib lub thawv uas muaj cov roj neon (Ne, qhov hnyav atomic = 20 u) ntawm qhov kub thiab siab (STP ) muaj qhov ntim ntawm 2 m3 ^. Txheeb xyuas qhov hnyav ntawm cov roj neon!

Paub:

Qhov hnyav ntawm neon = 20 gram/mol e = 0,02 kg/mol e

Qhov kub txheem (T) = 0 ^o C = 273 Kelvin

Lub siab txheem (P) = 1 atm = 1.013 x 10 ⁵ Pascal

Ntim (V) = 2 ^m3

Xav tau : qhov hnyav (m) ntawm cov 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.

Hauv qhov ntim ntawm 2 m3 ^, muaj 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

1. Thaum xub thawj, cov pa roj muaj lub siab P thiab kub T. Cov pa roj no dhau los ntawm cov txheej txheem isochoric kom lub siab kawg yog 4 npaug ntawm lub siab pib. Qhov kub kawg ntawm cov pa roj yog dab tsi?

Paub:

Lub siab pib (P1 ₎ = P

Qhov siab kawg (P2 ₎ = 4P

Kub pib (T ₁ ) = T

Xav tau: Qhov kub kawg (T ₂ )

Tshuaj:

Cov qauv ntawm Gay-Lussac txoj cai lij choj :

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

[irp]

2. Hauv ib lub thawv kaw, cov pa roj zoo tagnrho thaum xub thawj muaj qhov kub ntawm 27 ^o C. 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 ^o C + 273 = 300 K

Xav tau: Qhov kub kawg (T ₂ )

Tshuaj:

[irp]

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 10 ⁵ Pa

Lub ntsuas cua pib = 2 atm = 2 x 10 ⁵ Pa

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

Qhov kub pib (T1 ₎ = 27 ^o C + 273 = 300 K

Qhov kub kawg (T ₁ ) = 47 ^o C + 273 = 320 K

Xav tau: qhov kub kawg ntsuas

Tshuaj:

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

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 = qhov kub pib ). Qhov kub kawg yog dab tsi?

Paub:

Qhov ntim pib (V ₁ ) = V

Qhov ntim kawg (V ₂ ) = 3V

Kub pib (T ₁ ) = T

Xav tau: Qhov kub kawg (T ₂ )

Tshuaj:

Cov qauv ntawm Charles txoj cai lij choj :

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

[irp]

2. Kuv cov pa roj ua haujlwm thaum xub thawj muaj ntim V thiab kub T. Yog tias cov pa roj ua raws li cov txheej txheem isobaric kom qhov kub thiab txias dhau los ua 2 npaug ntawm qhov kub pib ces qhov ntim kawg ntawm cov pa roj yog ...

Paub:

Qhov ntim pib (V ₁ ) = V

Kub pib (T ₁ ) = T

Qhov kub kawg (T2 ₎ = 2T

Xav tau: phau kawg (V ₂ )

Tshuaj:

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

[irp]

3. Hauv ib lub thawv kaw, cov pa roj zoo tagnrho thaum xub thawj muaj qhov ntim ntawm 2 liv thiab qhov kub ntawm 27 ^o C. Yog tias qhov ntim kawg ntawm cov pa roj dhau los ua 3 liv ces qhov kub kawg yog ...

Paub:

Qhov ntim pib (V ₁ ) = 2 liv = 2 dm ³ = 2 x 10 ^-3 m ³

Qhov ntim kawg (V ₂ ) = 3 liv = 3 dm ³ = 3 x 10 ^-3 m ³

Kub pib (T1 ₎ = 27 ^o C + 273 = 300 K

Xav tau: Qhov kub kawg (T ₂ )

Tshuaj:

Qhov kub kawg yog 177 ^o C lossis 177 + 273 = 450 Kelvin.

nyeem ntxiv

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

Paub:

Lub siab pib (P1 ₎ = P

Qhov siab kawg (P2 ₎ = 4P

Qhov ntim pib (V ₁ ) = V

Xav Tau: Zaj Kawg (V ₂ )

Tshuaj:

Cov qauv ntawm Boyle txoj cai lij choj :

PV = tas li

P ₁ V ₁ = P ₂ V ₂

(P)(V) = (4P)(V ₂ )

V = 4 V ₂

V ₂ = V / 4 = ¼ V

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

[irp]

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

Paub:

Lub siab pib (P1 ₎ = P

Qhov ntim pib (V ₁ ) = V

Qhov ntim kawg (V ₂ ) = 2V

Xav tau : Qhov siab kawg (P ₂ )

Tshuaj:

P ₁ V ₁ = P ₂ V ₂

PV = P2 ( _2V )

P = P2 ( ₂ )

P ₂ = P / 2 = ½ P

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

[irp]

3. Hauv ib lub thawv kaw, cov pa roj muaj lub zog siab ntawm 2 atm thiab qhov ntim ntawm 1 liter. Yog tias lub zog 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

Qhov ntim pib (V ₁ ) = 1 liter = 1 dm ³ = 1 x 10 ^-3 m ³

Xav Tau : Qhov Kawg (V ₂ )

Tshuaj:

P ₁ V ₁ = P ₂ V ₂

( 2 x 10 ⁵ )(1 x 10 ^-3 ) = (4 x 10 ⁵ ) V ₂

( 1)(1 x 10 ^-3 ) = (2) V ₂

1 x 10 ^-3 = (2) V ₂

V ₂ = ½ x 10 ^-3

V ₂ = 0.5 x 10 ^-3 m ³ = 0.5 dm ³ = 0.5 liv s

nyeem ntxiv

1. Peb lub capacitors, C ₁ = 2 μF, C ₂ = 4 μF, C ₃ = 4 μF, txuas ua ke thiab sib luag . Txheeb xyuas qhov capacitance ntawm ib lub capacitor uas yuav muaj tib yam li kev sib xyaw ua ke.

Paub:

Lub Capacitor C ₁ = 2 μ F

Lub Capacitor C ₂ = 4 μ F

Lub Capacitor C ₃ = 4 μ F

Xav tau: Qhov sib npaug ntawm capacitance (C)

Tshuaj:

Cov capacitors C ₂ thiab C ₃ txuas ua ke. Lub peev xwm sib npaug:

C _P = C ₂ + C ₃ = 4 + 4 = 8 μF

Cov capacitors C ₁ thiab C _p txuas ua ke. Lub peev xwm sib npaug:

1/C = 1/C ₁ + 1/ C _P = 1/2 + 1/8 = 4/8 + 1/8 = 5/8

C = 8/5 μF

[irp]

2. Tsib lub capacitors, C ₁ = 2 μF, C ₂ = 4 μF, C ₃ = 6 μF, C ₄ = 5 μF, C ₅ = 10 μF, txuas ua ke thiab sib luag. Txheeb xyuas qhov capacitance ntawm ib lub capacitor uas yuav muaj tib qho txiaj ntsig zoo li kev sib xyaw ua ke.

Paub:

Lub 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 capacitance (C)

Tshuaj:

Cov capacitors C ₂ thiab C ₃ txuas ua ke. Lub peev xwm sib npaug:

CP = _{C2 +} C3_​

CP = 4 + ₆

CP ₌ 10 μ F

Cov capacitors C ₁ , C _P , C ₄ thiab C ₅ txuas ua ke. Lub peev xwm sib npaug:

1/C = 1/C ₁ + 1/ CP + 1/ C ₄ + 1 _/ C ₅

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

[irp]

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 μF

Lub Capacitor _C2 = 4 μF

Lub Capacitor C ₃ = 3 μ F

Xav tau: Qhov sib npaug ntawm capacitance (C)

Tshuaj:

Cov capacitors C ₂ thiab C ₃ txuas ua ke. Lub peev xwm sib npaug:

CP = _{C2 +} C3_​

CP = 4 ₊ 3

CP ₌ 7 μ F

Cov capacitors C ₁ thiab C _P txuas ua ke. Lub peev xwm sib npaug:

_{1 /} C = 1/C ₁ + 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 CV ²

E = ½ ( 2.1 x 10 ^-6 )(12 ² )

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

1. Plaub lub capacitors, C ₁ = 2 μF, C ₂ = 1 μF, C ₃ = 3 μF, C ₄ = 4 μF, tau txuas ua ke . Txheeb xyuas qhov capacitance ntawm ib lub capacitor uas yuav muaj tib qho txiaj ntsig zoo li kev sib xyaw ua ke.

Paub:

Lub Capacitor C ₁ = 2 μ F

Lub Capacitor C ₂ = 1 μ F

Lub Capacitor C ₃ = 3 μ F

Lub Capacitor C ₃ = 4 μ F

Xav tau: Qhov sib npaug ntawm capacitance

Tshuaj:

Lub peev xwm sib npaug:

1/C = 1/C ₁ + 1/C ₂ + 1/C ₃ + 1/C ₄

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 tag nrho cov kev sib xyaw ua ke yog 0.48 μF.

[irp]

2. Txheeb xyuas qhov them ntawm lub capacitor C ₁ yog tias qhov sib txawv ntawm P thiab Q yog 12 Volts…

Paub:

Lub Capacitor C ₁ = 1 0 μ F = 1 0 x 10 ^-6 F

Lub Capacitor C ₂ = 2 0 μ F = 2 0 x 10 ^-6 F

Qhov sib txawv ntawm lub zog (V) = 12 Volts

Xav tau: tus nqi ntawm lub capacitor C ₁ (Q ₁ )

Tshuaj:

Lub peev xwm sib npaug:

1/C = 1/C ₁ + 1/ C ₂

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

C = 20/3 μF = (20/3) x 10 ^-6 F

Lub zog hluav taws xob ntawm lub capacitor sib npaug:

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

Q = 80 μC

Cov capacitors txuas ua ke ua series kom cov nqi hluav taws xob ntawm cov capacitors sib npaug = nqi hluav taws xob ntawm capacitor _C1 = nqi hluav taws xob ntawm capacitor C2_.

Lub zog hluav taws xob ntawm lub capacitor _C1 yog 80 μC.

[irp]

3. Ob lub capacitors, C ₁ = 2 μF thiab C ₂ = 4 μF, txuas ua ke. Cov capacitors raug them. Qhov sib txawv ntawm lub capacitor C ₁ yog 2 Volts. Lub zog hluav taws xob ntawm lub capacitor C ₂ yog…

Paub:

C apa c itor C ₁ = 2 μ F = 2 x 10 ^-6 F

C apa c itor C ₂ = 4 μ F = 4 x 10 ^-6 F

Qhov sib txawv ntawm lub capacitor C ₁ (V ₁ ) = 2 Volts

Xav tau : Lub zog hluav taws xob ntawm lub capacitor C2_.

Tshuaj:

Lub zog hluav taws xob ntawm lub capacitor C1 _:

Q ₁ = C ₁ V ₁ = (2 x 10 ^-6 )(2) = 4 x 10 ^-6 C

Q ₁ = 4 μC

Cov capacitors txuas ua ke ua series kom lub zog hluav taws xob ntawm capacitor _C1 = lub zog hluav taws xob ntawm capacitor C2_.

Tus nqi ntawm lub _capacitor C2 yog 4 μC.

nyeem ntxiv

1. Plaub lub capacitors , C ₁ = 2 μF, C ₂ = 1 μF, C ₃ = 3 μF, C ₄ = 4 μF, txuas ua ke. Txheeb xyuas qhov capacitance ntawm ib lub capacitor uas yuav muaj tib qho txiaj ntsig zoo li kev sib xyaw ua ke.

Paub:

Lub Capacitor C ₁ = 2 μ F

Lub Capacitor C ₂ = 1 μ F

Lub Capacitor C ₃ = 3 μ F

Lub Capacitor C ₃ = 4 μ F

Xav tau: Qhov sib npaug ntawm capacitance

Tshuaj:

Lub peev xwm sib npaug:

C = C ₁ + C ₂ + C ₃

C = 4 μF + 2 μF + 3 μF = 9 μF

Qhov sib npaug ntawm tag nrho cov kev sib xyaw ua ke yog 9 μF.

[irp]

2. Txheeb xyuas qhov them ntawm lub capacitor C ₂ yog tias qhov sib txawv ntawm cov ntsiab lus A thiab B yog 9 Volts…

Paub:

C apa c itor C ₁ = 20 μ F = 20 x 10 ^-6 F

C apa c itor C ₂ = 30 μ F = 30 x 10 ^-6 F

Qhov sib txawv ntawm cov ntsiab lus A thiab B (V _AB ) = 9 Volts

Xav tau : tus nqi ntawm lub capacitor C2 ( _{Q2 )}

Tshuaj:

Qhov txawv ntawm qhov muaj peev xwm:

Cov capacitors txuas ua ke sib luag kom qhov sib txawv ntawm A thiab B (V _AB ) = qhov sib txawv ntawm capacitor C ₁ (V ₁ ) = qhov sib txawv ntawm capacitor C ₂ (V ₂ ) = 9 Volts.

Lub zog hluav taws xob ntawm lub capacitor C2 _:

Q ₂ = C ₂ V ₂ = (30 x 10 ^-6 )(9) = 270 x 10 ^-6 C

Q ₂ = 270 μC

Lub zog hluav taws xob ntawm lub capacitor C2 yog 270 μC_.

[irp]

3. Peb lub capacitors, C ₁ = 4 μF, C ₂ = 2 μF, C ₃ = 3 μF, txuas ua ke. Cov capacitors raug them. Qhov sib txawv ntawm lub peev xwm ntawm capacitor C ₂ yog 4 Volts. Txheeb xyuas seb

(a) Lub zog hluav taws xob ntawm cov capacitors C ₁ , C ₂ thiab C ₃

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

Paub:

C apa c itor C ₁ = 4 μ F = 4 x 10 ^-6 F

C apacitor C ₂ = 2 μ F = 2 x 10 ^-6 F

C apacitor C ₃ = 3 μ F = 3 x 10 ^-6 F

Qhov sib txawv ntawm lub capacitor _C2 ( V2 ₎ = 4 Volts

Xav tau : Fais fab them rau capacitor C3 ( _{Q3 )}

Tshuaj:

(a) Lub zog hluav taws xob ntawm lub capacitor C ₃

Qhov sib txawv 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 _:

Q ₁ = C ₁ V ₁ = (4 x 10 ^-6 )(4) = 16 x 10 ^-6 C

Q ₁ = 16 μC

Lub zog hluav taws xob ntawm lub capacitor C2 _:

Q ₂ = C ₂ V ₂ = (2 x 10 ^-6 )(4) = 8 x 10 ^-6 C

Q ₂ = 8 μC

Lub zog hluav taws xob ntawm lub capacitor C3 _:

Q ₃ = C ₃ V ₃ = (3 x 10 ^-6 )(4) = 12 x 10 ^-6 C

Q ₃ = 12 μC

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

Q = Q ₁ + Q ₂ + Q ₃

Q = 16 μ C + 8 μ C + 12 μ C = 36 μ C

Lwm txoj kev daws teeb meem:

Lub peev xwm sib npaug:

C = C ₁ + C ₂ + C ₃

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:

V ₁ = V ₂ = V ₃ = 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

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