Lipotso tsa mohlala oa capacitor - letoto le lipotoloho tse bapileng

11 Mehlala ea mathata a capacitor - lipotoloho tse latellanang le tse bapileng

1. Tse tharo kapasitor e hokahantsoe ka tatellano e tsamaellanang le setshwantsho se ka tlase. Haeba C₁ = 2 μF, C₂ = 4 μF, C₃ = 4 μF, ebe bokgoni ba ho nkela sebaka ke…
Puisano
Hoa tsebahala hore:
Motlakase C₁ = 2 μF
Motlakase C₂ = 4 μF
Motlakase C₃ = 4 μF
O botsitse: Bokgoni ba ho nkela sebaka (C)
Karabo:
Motlakase C₂ le C₃ e hokahantsoe ka ho bapa. Bokgoni ba ho nkela sebaka ke:
C_P =C₂ + C.₃ = 4 + 4 = 8 μF
Motlakase C₁ le C_P e hokahantsoe ka letoto. Bokgoni ba ho nkela sebaka ke:
1/C = 1/C₁ + 1/C_P = 1/2 + 1/8 = 4/8 + 1/8 = 5/8
C = 8/5 μF

μF = micro Farad (yuniti ea capacitance ea motlakase ) . 1 μF = 10 ^-6 Farad

2. Li-capacitor tse tharo li hokahane ka tatellano le ka ho bapana joalo ka ha ho bontšitsoe setšoantšong se ka tlase. Haeba C₁ = 2 μF, C₂ = 4 μF, C₃ = 6 μF, C₄ = 5 μF le C₅ = 10 μF, ebe bokgoni ba ho nkela sebaka ke…
Puisano
Hoa tsebahala hore:
Motlakase C₁ = 2 μF
Motlakase C₂ = 4 μF
Motlakase C₃ = 6 μF
Motlakase C₄ = 5 μF
Motlakase C₅ = 10 μF
O botsitse: Bokgoni ba ho nkela sebaka (C)
Karabo:

Motlakase C₂ le C₃ e hokahantsoe ka ho bapa. Bokgoni ba ho nkela sebaka ke:

C_P =C₂ + C.₃
C_P = 4 + 6
C_P = 10 μF

Motlakase C₁, C_P, C₄ le C₅ e hokahantsoe ka letoto. Bokgoni ba ho nkela sebaka ke:

1/C = 1/C₁ + 1/C_P + 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 le C₃ = 3 μF. Li-capacitor tse tharo li hokahane ka tatellano le ka tsela e ts'oanang. Fumana matla a motlakase potolohong!
Puisano
Hoa tsebahala hore:
Motlakase C₁ = 3 μF
Motlakase C₂ = 4 μF
Motlakase C₃ = 3 μF
O botsitse: Bokgoni ba ho nkela sebaka (C)
Karabo:

Motlakase C₂ le C₃ e hokahantsoe ka ho bapa. Bokgoni ba ho nkela sebaka ke:

C_P =C₂ + C.₃
C_P = 4 + 3
C_P = 7 μF

Motlakase C₁ le C_P e hokahantsoe ka letoto. Bokgoni ba ho nkela sebaka ke:

1/C = 1/C₁ + 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 μF
C = 2,1 x 10^-6 F

Matla a motlakase potolohong:

E = ½ CV²
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

4. Sheba setshwantsho sa potoloho ya capacitor ka lehlakoreng! Tefiso yohle potolohong ya capacitor ke… (1 μF = 10 ^-6 F)

A. 1,50 μC

B. 2,75 μC

C. 3,50 μC

D. 4,50 μC

E. 4,75 μC

Puisano

Hoa tsebahala hore:

Motlakase 1 (C ₁ ) = 3 μF

Motlakase 2 (C ₂ ) = 3 μF

Motlakase 3 (C ₃ ) = 3 μF

Motlakase 4 (C ₄ ) = 2 μF

Motlakase 5 (C ₅ ) = 3 μF

Motlakase (V) = Li-volt tse 3

Potso: Tefiso eohle potolohong ea capacitor (Q)

Karabo:

Mochini o nkang sebaka

Li-capacitor C1 _, C2 _le C3 li hokahane ka letoto. Li-capacitor tse nkelang sebaka _:

1/C ₁₂₃ = 1/C ₁ + 1/C ₂ + 1/C ₃ = 1/3 + 1/3 + 1/3 = 3/3

C ₁₂₃ = 3/3 = 1 μF

Li-capacitor tsa C123 _le C4 _li hokahane ka ho lekana. Capacitor e nkelang sebaka:

C ₁₂₃₄ = C ₁₂₃ + C ₄ = 1 + 2 = 3 μF

Li-capacitor tsa C ₁₂₃₄ le C ₅ li hokahane ka letoto. Capacitor e nkelang sebaka:

1/C = 1/C ₁₂₃₄ + 1/C ₅ = 1/3 + 1/3 = 2/3

C = 3/2 μF

C = 3/2 x 10 ^-6 F

Kakaretso ea tefiso ea motlakase

Tefiso ea motlakase ho capacitor e ncha = tefiso eohle potolohong ea capacitor :

Q = VC = (3 Volt)(3/2 x 10 ^-6 Farad) = 9/2 x 10 ^-6 Coulomb

Q = 9/2 microCoulomb = 9/2 μC

Q = 4,5 μC

Karabo e nepahetseng ke D.

5. Sheba setshwantsho sa potoloho ya capacitor ka lehlakoreng! Haeba boleng ba capacitor ka nngwe C₁ =C₂ = 2 μF, C₃ =C₄ = 1 μF le C₅ = 4 μF, joale boleng bohle ba tjhaja potolohong ke… (1 μF = 10^-6 F)

A. 1/7 μC

B. 2/7 μC

C. 4/7 μC

D. 6/7 μC

E. 1 μC

Puisano

Hoa tsebahala hore:

Motlakase 1 (C ₁ ) = 2 μF

Motlakase 2 (C ₂ ) = 2 μF

Motlakase 3 (C ₃ ) = 1 μF

Motlakase 4 (C ₄ ) = 1 μF

Motlakase 5 (C ₅ ) = 4 μF

Motlakase (V) = Li-volt tse 1,5

Ho batloa: Tefiso eohle potolohong (Q)

Karabo:

Mochini o nkang sebaka

Li-capacitor tsa C3 _le C4 _li hokahane ka ho lekana. Capacitor e nkelang sebaka:

C ₃₄ = C ₃ + C ₄ = 1 + 1 = 2 μF

Li-capacitor C5 _, C1 _, C2 _le C34 _li hokahane ka letoto. Li-capacitor tse nkelang sebaka:

1/C = 1/C ₅ + 1/C ₁ + 1/C ₂ + 1/C ₃₄

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

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

1/C = 7/4

C = 4/7 μF

C = 4/7 x 10 ^-6 F

Kakaretso ea tefiso ea motlakase

Tefiso ea motlakase ho capacitor e ncha = tefiso eohle potolohong :

Q = VC = (1,5 Volt)(4/7 x 10 ^-6 Farad) = 6/7 x 10 ^-6 Coulomb

Q = 6/7 microCoulomb

Q = 6/7 μC

Karabo e nepahetseng ke D.

6. Sheba potoloho e latelang ea capacitor! Kakaretso ea tefiso potolohong ke…

A. 20 μC

B. 40 μC

C. 60 μC

D. 80 μC

E. 160 μC

Puisano

Hoa tsebahala hore:

Motlakase 1 (C ₁ ) = 3 μF

Motlakase 2 (C ₂ ) = 3 μF

Motlakase 3 (C ₃ ) = 4 μF

Motlakase 4 (C ₄ ) = 4 μF

Motlakase 5 (C ₅ ) = 8 μF

Motlakase (V) = Li-volt tse 10

Ho batloa: Tefiso eohle potolohong (Q)

Karabo:

Mochini o nkang sebaka

Li-capacitor tsa C ₁ le C ₂ li hokahane ka ho lekana. Capacitor e nkelang sebaka:

C ₁₂ = C ₁ + C ₂ = 3 + 3 = 6 μF

Li-capacitor tsa C3 _{le C4} li hokahane ka letoto. Capacitor e nkelang sebaka:

1/C ₃₄ = 1/C ₃ + 1/C ₄ = 1/4 + 1/4 = 2/4

C ₃₄ = 4/2 = 2 μF

Capacitor C ₁₂ , capacitor C ₃₄ le capacitor C ₅ li hokahane ka ho lekana. Capacitor e nkelang sebaka:

C = C ₁₂ + C ₃₄ + C ₅ = 6 + 2 + 8 = 16 μF = 16 x 10 ^-6 Lifaradi

Kakaretso ea tefiso ea motlakase

Tefiso ea motlakase ho capacitor e ncha = tefiso eohle potolohong ea capacitor :

Q = VC = (Li-volt tse 10)( 16 x 10 ^-6 Farads) = 160 x 10 ^-6 Coulombs

Q = 160 microCoulomb = 160 μC

Karabo e nepahetseng ke E.

7. Sheba setshwantsho sa potoloho ya capacitor ka lehlakoreng! Bongata ba matla a motlakase potolohong ke… (1 µF = 10^-6 F)

A. 65 x 10^-6 Joule
B. 52 x 10^-6 Joule
C. 39 x 10^-6 Joule
D. 26 x 10^-6 Joule
E. 13 x 10^-6 Joule

Puisano
Hoa tsebahala :
Motlakase 1 (C₁) = 3 µF
Motlakase 2 (C₂) = 1 µF
Motlakase 3 (C₃) = 2 µF
Motlakase 4 (C₄) = 6 µF
Motlakase 5 (C₅) = 4 µF
Motlakase oa motlakase (V) = 5 volts
E botsitsoe : Matla a motlakase potolohong
Jawab :

Capacitor e nkang sebaka bakeng sa potoloho ea capacitor e tsamaeang le letoto
Li-capacitor tsa 2 le tsa 3 li hokahane ka ho lekana. Capacitor e nkelang sebaka:
C_A =C₂ + C.₃ = 1 + 2 = 3 µF
Capacitor 1, capacitor A le capacitor 4 li hokahane ka letoto. Capacitor e nkelang sebaka:
1 / C_B = 1/C₁ + 1/C_A + 1/C₄ = 1/3 + 1/3 + 1/6 = 2/6 + 2/6 + 1/6 = 5/6
C_B = 6/5 µF
Capacitor B le capacitor 5 li hokahane ka ho lekana. Capacitor e nkelang sebaka:
C = C_B + C.₅ = 6/5 + 4 = 6/5 + 16/4 = 24/20 + 80/20 = 104/20 = 5,2 µF
C = 5,2 x 10^-6 Farad
Matla a motlakase potolohong
E = ½ CV² = ½ (5,2 x 10^-6(5)²) = (2,6 x 10^-6)(25)
E = 65 x 10^-6 Joule
Karabo e nepahetseng ke A.

8. Sheba setshwantsho se latelang sa potoloho ya capacitor! Bongata ba matla a motlakase potolohong ena e kopaneng ya capacitor ke… (1 µF = 10^-6 F)

A. 0,6 x 10^-3 Joule
B. 1,2 x 10^-3 Joule
C. 1,8 x 10^-3 Joule
D. 2,4 x 10^-3 Joule
E. 3,0 x 10^-3 Joule

Puisano
Hoa tsebahala :
Motlakase 1 (C₁) = 4 µF
Motlakase 2 (C₂) = 6 µF
Motlakase 3 (C₃) = 12 µF
Motlakase 4 (C₄) = 2 µF
Motlakase 5 (C₅) = 2 µF
Motlakase oa motlakase (V) = 40 volts
E botsitsoe : Matla a motlakase potolohong
Jawab :
Capacitor e nkang sebaka bakeng sa potoloho ea capacitor e tsamaeang le letoto
Capacitor 1, capacitor 2 le capacitor 3 li hokahane ka letoto. Capacitor e nkelang sebaka:
1 / C_A = 1/C₁ + 1/C₂ + 1/C₃ = 1/4 + 1/6 + 1/12 = 3/12 + 2/12 + 1/12 = 6/12
C_A = 12/6 = 2 µF
Li-capacitor tsa 4 le tsa 5 li hokahane ka letoto. Capacitor e nkelang sebaka:
1 / C_B = 1/C₄ + 1/C₅ = 1/2 + 1/2 = 2/2
C_B = 2/2 = 1 µF
Capacitor A le capacitor B li hokahane ka ho lekana. Capacitor e nkelang sebaka:
C = C_A + C._B = 2 + 1 = 3 µF
C = 3 x 10^-6 Farad
Matla a motlakase potolohong
E = ½ CV² = ½ (3 x 10^-6(40)²) = (1,5 x 10^-6)(1600)
E = 2400 x 10^-6 = 2,4x10^-3 Joule
Karabo e nepahetseng ke D.

9. Sheba setshwantsho se latelang sa potoloho ya bokgoni. Matla a bolokilweng potolohong ya motlakase e ka hodimo ke…
A. 576 Joule
B. 288 Joule
C. 144 Joule
D. 72 Joule
E. 48 Joule
Puisano
Hoa tsebahala :
Motlakase 1 (C₁) = 4 F
Motlakase 2 (C₂) = 4 F
Motlakase 3 (C₃) = 4 F
Motlakase 4 (C₄) = 4 F
Motlakase 5 (C₅) = 2 F
Motlakase oa motlakase (V) = 12 volts
E botsitsoe : Matla a motlakase potolohong
Jawab :
Jawab :
Capacitor e nkang sebaka bakeng sa potoloho ea capacitor e tsamaeang le letoto
Capacitor 1, capacitor 2 le capacitor 3 li hokahane ka ho lekana. Capacitor e nkelang sebaka:
C_A =C₁ + C.₂ + C.₃ = 4 + 4 + 4 = 12 F
Li-capacitor tsa 4 le tsa 5 li hokahane ka ho lekana. Capacitor e nkelang sebaka:
C_B =C₄ + C.₅ = 4 + 2 = 6 F
Capacitor A le capacitor B li hokahane ka letoto. Capacitor e nkelang sebaka:
1/C = 1/C_A + 1/C_B = 1/12 + 1/6 = 1/12 + 2/12 = 3/12
C = 12/3 = 4 Farad
Matla a motlakase potolohong
E = ½ CV² = ½ (4)(12²) = (2)(144)
E = 288 Joule
Karabo e nepahetseng ke B.

10. Sheba potoloho e ka tlase! Boholo ba tjhaja ho capacitor C₅ ke….

A. 36 Coulombs
B. 24 Coulombs
C. 12 Coulombs
D. 6 Coulombs
E. 4 Coulombs

Puisano
Hoa tsebahala hore:
Motlakase 1 (C₁) = 6 F
Motlakase 2 (C₂) = 6 F
Motlakase 3 (C₃) = 3 F
Motlakase 4 (C₄) = 12 F
Motlakase 5 (C₅) = 6 F
Motlakase (V) = Li-volt tse 12
Potso: Tefiso ho capacitor (C)₅)
Karabo:

Kapastor
Motlakase C₂ le capacitor C₃ e hokahantsoe ka letoto. Capacitor e nkelang sebaka:
1 / C_A = 1/C₂ + 1/C₃ = 1/6 + 1/3 = 1/6 + 2/6 = 3/6
C_A = 6/3 = 2 Farad
Motlakase C₄ le capacitor C₅ e hokahantsoe ka letoto. Capacitor e nkelang sebaka:
1 / C_B = 1/C₄ + 1/C₅ = 1/12 + 1/6 = 1/12 + 2/12 = 3/12
C_B = 12/3 = 4 Farad

Motlakase C_A le capacitor C_B e hokahantsoe ka ho bapa. Capacitor e nkelang sebaka:
C_C =C_A + C._B = 2 + 4 = 6 Farad
Motlakase C₁ le capacitor C_C e hokahantsoe ka letoto:
1/C = 1/C₁ + 1/C_C = 1/6 F + 1/6 F = 2/6
C = 6/2 = 3 Farad

Tefiso ea Motlakase
Tefiso ea motlakase ho capacitor e ncha C:
q = VC = (Li-volt tse 12)(Lifaradi tse 3) = Li-Coulomb tse 36
Capacitor 1 le capacitor CC li hokahane ka tatellano e le hore tjhaja ea motlakase ho capacitor e ncha C = tjhaja ea motlakase ho capacitor C₁ = tjhaja ya motlakase hodima capacitor C_C = Li-Coulomb tse 36.
Motlakase C_C e na le bokgoni ba di-Farad tse 6 mme e na le tjhaja ya di-Coulomb tse 36. Phapang e ka bang teng ho pholletsa le capacitor C_C ke: V = q/C_C = 36 Coulombs / 6 Farads = 6 Volts
Motlakase C_C ke capacitor e nkang sebaka sa capacitor C_A le capacitor C_B tse hokahaneng ka ho bapa. Ka hona phapang e ka bang teng ho pholletsa le capacitor C_C (V_C) = phapang e ka bang teng ho pholletsa le capacitor C_A (V_A) = phapang e ka bang teng ho pholletsa le capacitor C_B (V_B) = Li-volt tse 6.

Tefiso ea motlakase ho capacitor C_B :
q_B =V_B C_B = (Li-volt tse 6)(Li-faradi tse 4) = Li-coulomb tse 24
CB capacitor ke capacitor e nkang sebaka sa C capacitor₄ le C₅ tse hoketsweng ka letoto. Hobane di hoketswe ka letoto, tjhaja ya motlakase ho capacitor C_B (q_B) = tjhaja ya motlakase hodima capacitor C₄ (q₄) = tjhaja ya motlakase hodima capacitor C₅ (q₅) = 24 Coulombs.
Karabo e nepahetseng ke B.

11. Li-capacitor tse hlano tse tšoanang tsa 20 µF ka 'ngoe li hlophisitsoe joalo ka ha ho bontšitsoe setšoantšong, li hokahantsoe le mohloli oa motlakase oa li-volt tse 6. Tefiso eohle e bolokiloeng ho capacitor C ₅ ke….

A. 12 µC
B. 24 µC
C. 60 µC
D. 120 µC
E. 600 µC

Puisano
Hoa tsebahala hore:
Motlakase C₁ =C₂ =C₃ =C₄ =C₅ = 20 µF
Phapang e ka bang teng (V) = 6 Volts
Potso: Tefiso eohle e bolokiloeng ho capacitor C5
Karabo:
Kapastor
Motlakase C₁ le capacitor C₂ e hokahantsoe ka letoto. Capacitor e nkelang sebaka:
1 / C_A = 1/C₁ + 1/C₂ = 1/20 + 1/20 = 2/20
C_A = 20/2 = 10 µF
Motlakase C₃ le capacitor C₄ e hokahantsoe ka letoto. Capacitor e nkelang sebaka:
1 / C_B = 1/C₃ + 1/C₄ = 1/20 + 1/20 = 2/20
C_B = 20/2 = 10 µF
Motlakase C_A le capacitor C_B e hokahantsoe ka ho bapa. Capacitor e nkelang sebaka:
C_C =C_A + C._B = 10 + 10 = 20 µF
Motlakase C_C le capacitor C₅ e hokahantsoe ka letoto:
1/C = 1/C_C + 1/C₅ = 1/20 + 1/20 = 2/20
C = 20/2 = 10 µF

Tefiso ea Motlakase
Tefiso ea motlakase ho capacitor e ncha C:
q = VC = (Li-volt tse 6)(10 x 10^-6 Farad) = 60 x 10^-6 Coulomb = 60 µC
Motlakase C_C 'me capacitor 5 e hokahantsoe ka tatellano e le hore tjhaja ea motlakase ho capacitor e ncha C = tjhaja ea motlakase ho capacitor C_C = tjhaja ya motlakase hodima capacitor C₅ = 60 µC.
Karabo e nepahetseng ke C.

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