Physics

1. Ndimaika mpweya mu chidebe chotsekedwa poyamba ndi voliyumu V ndi kupanikizika P. Ngati kupanikizika komaliza kuli 4P ndipo kusinthasintha kumakhala kofanana, kodi chiŵerengero cha mphamvu yoyambirira ya kinetic ndi mphamvu yomaliza ya kinetic ndi chiŵerengero chotani?

Zodziwika:

Kupanikizika koyambirira (P ₁ ) = P

Kupanikizika komaliza (P2 ₎ = 4P

Voliyumu yoyambirira (V ₁ ) = V

Voliyumu yomaliza (V ₂ ) = V

Chifunidwa: Chiŵerengero cha mphamvu yoyambirira ya kinetic ndi mphamvu yomaliza ya kinetic (K E ₁ : K E ₂ )

Yankho:

Ubale pakati pa kupanikizika (P), voliyumu (V) ndi mphamvu ya kinetic (KE) ya mpweya wabwino :

Chiŵerengero cha mphamvu yoyambirira ya kinetic ndi mphamvu yomaliza ya kinetic:

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2. Kodi mphamvu yapakati ya mamolekyulu mu mpweya wabwino kwambiri pa 57 ^o C ndi yotani?

Zodziwika:

Kutentha kwa mpweya (T) = 57 ^o C + 273 = 330 Kelvin

Boltzmann 's constant (k) = 1.38 x 10 ^-23 Joule/Kelvin

Kufunidwa: Mphamvu yapakati ya kinetic yomasulira

Yankho:

Ubale pakati pa mphamvu ya kinetic (KE) ndi kutentha kwa mpweya (T):

Mphamvu yapakati ya kinetic yomasulira:

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3. Mpweya pa 27 ^o C mu chidebe chotsekedwa . Ngati mphamvu ya kinetic ya mpweya ikuwonjezeka kawiri kuposa mphamvu yoyamba ya kinetic, motero kutentha komaliza kwa mpweya ndi…

Zodziwika:

Kutentha koyambirira (T ₁ ) = 27 ^o C + 273 = 300 K

Mphamvu yoyambirira ya kinetic = KE

Mphamvu yomaliza ya kinetic = 4 K E

Kufunidwa: Kutentha komaliza ( _T2 )

Yankho:

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4. Mpweya woyenera uli mu chidebe chotsekedwa, umatenthedwa kotero kuti liwiro lomaliza la tinthu ta mpweya limawonjezeka ndi katatu kuposa liwiro loyambirira. Ngati kutentha koyambirira kwa mpweya ndi 27 ^o C, ndiye kuti kutentha komaliza kwa mpweya woyenera ndi…

Zodziwika:

Kutentha koyambirira = 27 ^o C + 273 = 300 Kelvin

Liwiro loyambirira = v

Liwiro lomaliza = 2v

Kufunidwa : Kutentha komaliza kwa mpweya wabwino

Yankho:

Liwiro lomaliza la avareji = 2 x liwiro loyambirira la avareji

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5. Ma mole atatu a mpweya ali m'malo okwana malita 36. Molekyu iliyonse ya mpweya ili ndi mphamvu ya kinetic ya 5 x 10 ^-21 Joules. Mpweya wosasinthika wa Universal = 8.315 J/mole.K ndipo Mpweya wosasinthika wa Boltzmann = 1.38 x 10 ^-23 J/K. Kodi mpweya wopanikizika uli bwanji mu chidebecho?

Zodziwika:

Chiwerengero cha ma moles (n) = ma moles atatu

Voliyumu = malita 36 = 36 dm ³ = 36 x 10 ^-3 m ³

Chokhazikika cha Boltzmann (k) = 1.38 x 10 ^-23 J/K

Mphamvu ya kinetic (KE) = 5 x 10 ^–21 Joules

Mpweya wosasinthika wa Universal (R) = 8.315 J/mole.K

Kufunidwa : Kupanikizika kwa mpweya (P)

Yankho:

Werengerani kutentha pogwiritsa ntchito equation ya kinetic energy ya gasi.

Werengerani kuthamanga kwa mpweya pogwiritsa ntchito equation ya lamulo labwino la mpweya (mu chiwerengero cha ma moles, n):

PV = n RT

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

P (36 x 10 ^-3 ) = 6024.22

Mpweya wothamanga ndi 1.67 x 10 ⁵ Pascal kapena 1.67 atmospheres.

Werengani zambiri

1. Ndimaika mpweya mu chidebe chotsekedwa poyamba ndili ndi voliyumu V ndi kutentha T. Kutentha komaliza ndi 5/4T ndipo kuthamanga komaliza ndi 2P. Kodi voliyumu yomaliza ya mpweya ndi yotani?

Zodziwika:

Voliyumu yoyambirira (V ₁ ) = V

Kutentha koyambirira (T ₁ ) = T

Kutentha komaliza (T2 ₎ = 5/4 T

Kupanikizika koyambirira (P ₁ ) = P

Kupanikizika komaliza (P2 ₎ = 2P

Kufunidwa: Voliyumu Yomaliza (V ₂ )

Yankho:

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2. Dziwani kuchuluka kwa mpweya wa 2.00 mols ( mpweya woyenera) pa STP. STP = Kutentha ndi Kupanikizika Koyenera.

Zodziwika:

Mamole a mpweya (n) = mamole awiri a ayezi

Kutentha kwanthawi zonse (T) = 0 ^o C = 0 + 273 = 273 Kelvin

Kupanikizika kwachizolowezi (P) = 1 atm = 1.013 x 10 ⁵ Pa

Nthawi zonse gasi (R) = 8.315 Joule/mol e .Kelvin

Kufunidwa : Kuchuluka kwa mpweya (V)

Yankho:

Equation of Ideal gas law (mu chiwerengero cha ma moles, n)

Kuchuluka kwa ma mole awiri a mpweya ndi malita 44.8.

Voliyumu ya mole imodzi ya mpweya ndi malita 45.4 / 2 = malita 22.4.

Voliyumu ya mole imodzi ya mpweya uliwonse ndi malita 22.4.

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3. Malita 4 a mpweya wa okosijeni ali ndi kutentha kwa 27°C ndi kupanikizika kwa 2 atm (1 atm = 10 ⁵ Pa) mu chidebe chotsekedwa. Universal gas constant (R) = 8.314 J.mol e ⁻¹ .K ⁻¹ ndi nambala ya Avogadro ( N _​​A ) = 6.02 x 10 ²³ mamolekyu/mole e . Kodi mamolekyu a mpweya wa okosijeni mu chidebecho ndi chiyani?

Zodziwika:

Kuchuluka kwa mpweya (V) = malita 4 = 4 dm ³ = 4 x 10 ^-3 m ³

Kutentha kwa mpweya (T) = 27 ^o C = 27 + 273 = 300 Kelvin

Kupanikizika kwa mpweya (P) = 2 atm = 2 x 10 ⁵ Pa

Mpweya wosasinthika wa Universal (R) = 8.314 J.mol e ⁻¹ .K ⁻¹

Nambala ya Avogadro (N _A ) = 6.02 x 10 ²³

Kodi mamolekyu a mpweya wa okosijeni omwe ali mu chidebecho ndi otani (N)?

Yankho:

Mu mole imodzi ya mpweya wa okosijeni, pali mamolekyu a okosijeni 1.93 x 10 ²³.

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4. Chidebe chokhala ndi mpweya wa neon (Ne, atomiki kulemera = 20 u) pa kutentha ndi kupanikizika koyenera (STP ) chili ndi voliyumu ya 2 m ^3. Dziwani kulemera kwa mpweya wa neon!

Zodziwika:

Kulemera kwa atomiki ya neon = 20 gramu/mol e = 0,02 kg/mol e

Kutentha kwanthawi zonse (T) = 0 ^o C = 273 Kelvin

Kupanikizika kwachizolowezi (P) = 1 atm = 1.013 x 10 ⁵ Pascal

Voliyumu (V) = 2 m ³

Kufunidwa : kulemera (m) kwa mpweya wa neon

Yankho:

Pa kutentha ndi kupanikizika koyenera (STP), 1 mole mpweya uliwonse, kuphatikiza mpweya wa neon, khalani ndi voliyumu 22.4 litas = 22.4 dm³ = 0.0448 m³.

Mu voliyumu ya 2 m3 ^, pali ma moles 44.6 a mpweya wa neon.

Kulemera kwa atomiki kwa mpweya wa neon ndi magalamu 20 pa mole.

Izi zikutanthauza kuti mu mole imodzi muli magalamu 20 kapena 0.02 kg ya mpweya wa neon. Chifukwa mu mole imodzi muli 0.02 kg ya mpweya wa neon ndiye mu mole 44.6 muli ma mole 44.6 x 0.02 kg/mole = 0.892 kg = 892 magalamu a mpweya wa neon.

Werengani zambiri

1. Poyamba ndimapeza mpweya wokhala ndi mphamvu ya P ndi kutentha kwa T. Mpweyawo umadutsa mu njira ya isochoric kotero kuti mphamvu yomaliza imakhala yowirikiza kanayi kuposa mphamvu yoyambirira. Kodi kutentha komaliza kwa mpweya ndi kotani?

Zodziwika:

Kupanikizika koyambirira (P ₁ ) = P

Kupanikizika komaliza (P2 ₎ = 4P

Kutentha koyambirira (T ₁ ) = T

Kufunidwa: Kutentha komaliza ( _T2 )

Yankho:

Fomula ya lamulo la Gay-Lussac :

Kutentha komaliza kumakhala kowirikiza kanayi kuposa kutentha koyambirira.

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2. Mu chidebe chotsekedwa, mpweya wabwino poyamba umakhala ndi kutentha kwa 27 ^o C. Ngati kuthamanga komaliza kukwera kawiri kuposa kuthamanga koyambirira, kodi kutentha komaliza ndi kotani?

Zodziwika:

Kupanikizika koyambirira (P ₁ ) = P

Kupanikizika komaliza (P2 ₎ = 2P

Kutentha koyambirira (T ₁ ) = 27 ^o C + 273 = 300 K

Kufunidwa: Kutentha komaliza ( _T2 )

Yankho:

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3. Tayala limadzazidwa mpaka kufika pa 2 atm pa 27°C. Pambuyo poyendetsa, kutentha mkati mwa tayala kumakwera kufika pa 47°C. Kodi kuthamanga mkati mwa tayala ndi kotani tsopano?

Zodziwika:

Kupanikizika kwa mpweya = 1 atm = 1 x 10 ⁵ Pa

Kuthamanga koyambirira = 2 atm = 2 x 10 ⁵ Pa

Kupanikizika koyambirira (P ₁ ) = 1 atm + 2 atm = 3 atm = 3 x 10 ⁵ Pa

Kutentha koyambirira (T ₁ ) = 27 ^o C + 273 = 300 K

Kutentha komaliza (T ₁ ) = 47 ^o C + 273 = 320 K

Kufunidwa: Kutentha komaliza

Yankho:

Kupanikizika komaliza = kupanikizika komaliza - kupanikizika kwa mlengalenga

Kupanikizika komaliza = 3.2 atm - 1 atm

Kupanikizika komaliza = 2.2 atm

Werengani zambiri

1. Mu chidebe chotsekedwa, mpweya umakula kotero kuti voliyumu yomaliza imakhala katatu kuposa voliyumu yoyambirira (V = voliyumu yoyambirira, T = kutentha koyambirira ). Kodi kutentha komaliza ndi kotani?

Zodziwika:

Voliyumu yoyambirira (V ₁ ) = V

Voliyumu yomaliza (V ₂ ) = 3V

Kutentha koyambirira (T ₁ ) = T

Kufunidwa: Kutentha komaliza ( _T2 )

Yankho:

Fomula ya lamulo la Charles :

Kutentha komaliza kwa mpweya kumakhala katatu kuposa kutentha koyambirira.

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2. Poyamba ndimapeza mpweya wokhala ndi voliyumu V ndi kutentha T. Ngati mpweyawo udutsa mu njira ya isobaric kotero kuti kutentha kumakhala kawiri kuposa kutentha koyambirira ndiye kuti voliyumu yomaliza ya mpweya ndi…

Zodziwika:

Voliyumu yoyambirira (V ₁ ) = V

Kutentha koyambirira (T ₁ ) = T

Kutentha komaliza (T2 ₎ = 2T

Kufunidwa: buku lomaliza (V ₂ )

Yankho:

Kuchuluka kwa mpweya komaliza kumakhala kawiri kuposa kuchuluka koyambirira.

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3. Mu chidebe chotsekedwa, mpweya wabwino poyamba umakhala ndi voliyumu ya malita awiri ndi kutentha kwa 27 ^o C. Ngati voliyumu yomaliza ya mpweya ikhala malita atatu ndiye kuti kutentha komaliza ndi…

Zodziwika:

Voliyumu yoyambirira (V ₁ ) = malita awiri = 2 dm ³ = 2 x 10 ^-3 m ³

Voliyumu yomaliza (V ₂ ) = malita 3 = 3 dm ³ = 3 x 10 ^-3 m ³

Kutentha koyambirira (T ₁ ) = 27 ^o C + 273 = 300 K

Kufunidwa: Kutentha komaliza ( _T2 )

Yankho:

Kutentha komaliza ndi 177 ^o C kapena 177 + 273 = 450 Kelvin.

Werengani zambiri

1. Mpweya wina wabwino poyamba umakhala ndi mphamvu ya P ndi voliyumu V. Ngati mpweyawo udutsa mu njira ya isothermal kotero kuti mphamvu yomaliza imakhala yowirikiza kanayi kuposa mphamvu yoyambirira, ndiye kuti mphamvu yomaliza ya mpweya ndi…

Zodziwika:

Kupanikizika koyambirira (P ₁ ) = P

Kupanikizika komaliza (P2 ₎ = 4P

Voliyumu yoyambirira (V ₁ ) = V

Kufunidwa: Voliyumu Yomaliza (V ₂ )

Yankho:

Fomula ya lamulo la Boyle :

PV = yosasintha

P ₁ V ₁ = P ₂ V ₂

(P)(V) = (4P)(V ₂ )

V = 4 V ₂

V ₂ = V / 4 = ¼ V

Kuchuluka komaliza kwa mpweya ndi ¼ kuchulukitsa kuchuluka koyambirira.

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2. Mu chidebe chotsekedwa, mpweya umakula kotero kuti voliyumu yomaliza imakhala kawiri kuposa voliyumu yoyambirira (V = voliyumu yoyambirira, P = kupanikizika koyambirira). Kupanikizika komaliza kwa mpweya ndi…

Zodziwika:

Kupanikizika koyambirira (P ₁ ) = P

Voliyumu yoyambirira (V ₁ ) = V

Voliyumu yomaliza (V ₂ ) = 2V

Kufunidwa : Kupanikizika komaliza (P ₂ )

Yankho:

P ₁ V ₁ = P ₂ V ₂

PV = P ₂ (2V)

P = P ₂ (2)

P ₂ = P / 2 = ½ P

Kuthamanga kwa mpweya kumakhala ndi theka la kukakamiza koyamba.

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3. Mu chidebe chotsekedwa, mpweya wokhala ndi mphamvu ya 2 atm ndi voliyumu ya lita imodzi. Ngati mphamvu ya mpweya ifika pa 4 atm ndiye kuti mphamvu ya mpweya imakhala...

Zodziwika:

Kupanikizika koyambirira (P ₁ ) = 2 atm = 2 x 10 ⁵ Pa

Kupanikizika komaliza (P ₂ ) = 4 atm = 4 x 10 ⁵ Pa

Voliyumu yoyambirira (V ₁ ) = lita imodzi = 1 dm ³ = 1 x 10 ^-3 m ³

Kufunidwa : Voliyumu yomaliza (V ₂ )

Yankho:

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 lita s

Werengani zambiri

1. Ma capacitor atatu, C ₁ = 2 μF, C ₂ = 4 μF, C ₃ = 4 μF, alumikizidwa motsatizana komanso motsatizana . Dziwani mphamvu ya capacitor imodzi yomwe idzakhala ndi zotsatira zofanana ndi kuphatikiza.

Zodziwika:

Chojambulira C ₁ = 2 μ F

Capacitor C ₂ = 4 μ F

Capacitor C ₃ = 4 μ F

Kufunidwa: Mphamvu yofanana (C)

Yankho:

_Ma capacitor C2 ndi C3 _alumikizidwa motsatizana. Capacitance yofanana:

C _P = C ₂ + C ₃ = 4 + 4 = 8 μ F

_Ma capacitor C1 ndi _Cp alumikizidwa motsatizana. Capacitance yofanana:

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

C = 8/5 μ F

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2. Ma capacitor asanu , C ₁ = 2 μF, C ₂ = 4 μF, C ₃ = 6 μF, C ₄ = 5 μF, C ₅ = 10 μF, amalumikizidwa motsatizana komanso motsatizana. Dziwani mphamvu ya capacitor imodzi yomwe idzakhala ndi zotsatira zofanana ndi kuphatikiza.

Zodziwika:

Capacitor C₁ = 2 μF

Capacitor C ₂ = 4 μ F

Capacitor C ₃ = 6 μ F

Capacitor C ₄ = 5 μ F

Capacitor C ₅ = 10 μ F

Kufunidwa: Mphamvu yofanana (C)

Yankho:

_Ma capacitor C2 ndi C3 _alumikizidwa motsatizana. Mphamvu yofanana:

CP = C _{2 +} C ₃

CP = 4 + ₆

CP ₌ 10 μ F

_Ma capacitor C1 , _CP , C4 _ndi C5 _alumikizidwa motsatizana. Mphamvu yofanana:

1/C = 1/C ₁ + 1/ C _P + 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 μ F

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3 C₁ = 3 μF, C₂ = 4 μF ndi C₃ = 3 μF, zalumikizidwa motsatizana komanso motsatizana. Dziwani mphamvu zamagetsi pa maulendo.

Zodziwika:

Capacitor C₁ = 3 μF

Capacitor C ₂ = 4 μ F

Capacitor C ₃ = 3 μ F

Kufunidwa: Mphamvu yofanana (C)

Yankho:

_Ma capacitor C2 ndi C3 _alumikizidwa motsatizana. Mphamvu yofanana:

CP = C _{2 +} C ₃

CP = 4 ₊ 3

CP ₌ 7 μ F

_Ma capacitor C1 ndi C _P alumikizidwa motsatizana. Mphamvu yofanana:

1/C = 1/C ₁ + 1/ C _P

1/C = 1/3 + 1/7

1/C = 7/21 + 3/21

1/C = 10/21

C = 21/10

C = 2.1 μ F

C = 2.1 x 10 ^-6 F

Mphamvu yamagetsi pa ma 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

Werengani zambiri

1. Ma capacitor anayi, C ₁ = 2 μF, C ₂ = 1 μF, C ₃ = 3 μF, C ₄ = 4 μF, alumikizidwa motsatizana . Dziwani mphamvu ya capacitor imodzi yomwe idzakhala ndi zotsatira zofanana ndi kuphatikiza.

Zodziwika:

Capacitor C ₁ = 2 μ F

Capacitor C ₂ = 1 μ F

Capacitor C ₃ = 3 μ F

Capacitor C ₃ = 4 μ F

Kufunidwa: Mphamvu yofanana

Yankho:

Mphamvu yofanana:

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

Mphamvu yofanana ya kuphatikiza konse ndi 0.48 μF.

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2. Dziwani mphamvu ya capacitor C ₁ ngati kusiyana komwe kungachitike pakati pa P ndi Q ndi 12 Volts…

Zodziwika:

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

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

Kusiyana komwe kungatheke (V) = 12 Volts

Kufunidwa: mphamvu pa capacitor C ₁ (Q ₁ )

Yankho:

Mphamvu yofanana:

1/C = 1/C ₁ + 1/ C ₂

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

C = 20/3 μ F = (20/3) x 10 ^-6 F

Mphamvu yamagetsi pa capacitor yofanana:

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

Q = 80 μC

Ma capacitor amalumikizidwa motsatizana kotero kuti chaji yamagetsi pa ma capacitor ofanana = chaji yamagetsi pa capacitor C ₁ = chaji yamagetsi pa capacitor C ₂.

Mphamvu yamagetsi pa capacitor C ₁ ndi 80 μC.

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3. Ma capacitor awiri, C ₁ = 2 μF ndi C ₂ = 4 μF, alumikizidwa motsatizana. Ma capacitor ali ndi chaji. Kusiyana komwe kungatheke pa capacitor C ₁ ndi 2 Volts. Chaji yamagetsi pa capacitor C ₂ ndi…

Zodziwika:

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

Kusiyana komwe kulipo pa capacitor C ₁ (V ₁ ) = 2 Volts

Kufunidwa : Chaji yamagetsi pa capacitor C2_.

Yankho:

Chaja yamagetsi pa capacitor C1 _:

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

Q ₁ = 4 μC

Ma capacitor amalumikizidwa motsatizana kotero kuti chaji yamagetsi pa capacitor C ₁ = chaji yamagetsi pa capacitor C ₂.

Mphamvu ya capacitor C2 _ndi 4 μC.

Werengani zambiri

1. Ma capacitor anayi , C ₁ = 2 μF, C ₂ = 1 μF, C ₃ = 3 μF, C ₄ = 4 μF, alumikizidwa motsatizana. Dziwani mphamvu ya capacitor imodzi yomwe idzakhala ndi zotsatira zofanana ndi kuphatikiza.

Zodziwika:

Capacitor C ₁ = 2 μ F

Capacitor C ₂ = 1 μ F

Capacitor C ₃ = 3 μ F

Capacitor C ₃ = 4 μ F

Kufunidwa: Mphamvu yofanana

Yankho:

Mphamvu yofanana:

C = C ₁ + C ₂ + C ₃

C = 4 μF + 2 μF + 3 μF = 9 μF

Mphamvu yofanana ya kuphatikiza konse ndi 9 μF.

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2. Dziwani mphamvu ya capacitor C ₂ ngati kusiyana komwe kungachitike pakati pa mfundo A ndi B ndi 9 Volts…

Zodziwika:

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

Kusiyana komwe kulipo pakati pa mfundo A ndi B (V _AB ) = 9 Volts

Kufunidwa : mphamvu pa capacitor C2 ( _{Q2 )}

Yankho:

Kusiyana komwe kungatheke:

Ma capacitor amalumikizidwa motsatizana kotero kuti kusiyana komwe kulipo pakati pa A ndi B (V _AB ) = kusiyana komwe kulipo pa capacitor C ₁ (V ₁ ) = kusiyana komwe kulipo pa capacitor C ₂ (V ₂ ) = 9 Volts.

Chaja yamagetsi pa capacitor C2 _:

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

Q ₂ = 270 μC

Mphamvu yamagetsi pa _capacitor C2 ndi 27 0 μ C.

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3. Ma capacitor atatu , C ₁ = 4 μF, C ₂ = 2 μF, C ₃ = 3 μF, alumikizidwa motsatizana. Ma capacitor ali ndi chaji. Kusiyana komwe kungatheke pa capacitor C ₂ ndi 4 Volts. Dziwani

(a) Chaji yamagetsi pa ma capacitor C ₁ , C ₂ ndi C ₃

(b) Mphamvu yamagetsi pa capacitor yofanana ndi ya kuphatikiza konse

Zodziwika:

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

_{Kusiyana komwe} kungatheke pa capacitor C2 (V2 ₎ = 4 Volts

Kufunidwa : Chaji yamagetsi pa capacitor C3 ( _{Q3 )}

Yankho:

(a) _Chaji yamagetsi pa capacitor C3

Kusiyana komwe kungatheke pa capacitor C3 _:

Ma capacitor amalumikizidwa motsatizana kotero kuti kusiyana komwe kungatheke pa capacitor C₃ (V₃) = kusiyana komwe kungatheke pa capacitor C₂ (V₂) = kusiyana komwe kungatheke pa capacitor C₁ (V₁) = kusiyana komwe kungatheke pa capacitor yofanana (V) = 4 Volt

Chaja yamagetsi pa capacitor C1 _:

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

Q ₁ = 16 μC

Chaja yamagetsi pa capacitor C2 _:

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

Q ₂ = 8 μC

Chaja yamagetsi pa capacitor C3 _:

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

Q ₃ = 12 μC

(b) Chaji yamagetsi pa capacitor yofanana

Q = Q ₁ + Q ₂ + Q ₃

Q = 16 μ C + 8 μ C + 12 μ C = 36 μ C

Yankho lina:

Mphamvu yofanana:

C = C ₁ + C ₂ + C ₃

C = 4 μF + 2 μF + 3 μF = 9 μF

C = 9 x 10 ^-6 F

Kusiyana komwe kungatheke pa capacitor yofanana:

V ₁ = V ₂ = V ₃ = V = 4 Volt

Mphamvu yamagetsi pa capacitor yofanana:

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

Q = 36 μC

Werengani zambiri