Isibonelo Sesekethe Kagesi Eqondile Yamanje

Izibonelo Eziyi-9 Zemibuzo Yesifunda Sikagesi Esiqondile Samanje

1. Bheka isithombe sokuhleleka kwama-resistor ngezansi! amandla amanje nge-R₁ kuyinto…

A. 2,0 I-Ampere
B. 2,5 Ampere
Ama-Ampere angu-C. 4,0
D. 4,5 Ampere
I-E. 5,0 Ampere

Ingxoxo
I-Diketahui :
Isivikelo 1 (R)₁) = 4 Ω
Isivikelo 2 (R)₂) = 4 Ω
Isivikelo 3 (R)₃) = 8 Ω
I-voltage kagesi (V) = 40 Volts
Kubuziwe : Ugesi ngokusebenzisa u-R₁
Jawab :

Ugesi ugeleza usuka kumandla aphezulu uye kumandla aphansi. Isiqondiso sogesi kusekethe engenhla sifana nesiqondiso sezandla zewashi.

Ugesi ophuma ebhethri
Qala ngokubala i-resistor yokufaka esikhundleni (R). Ngemva kwalokho, bala ugesi usebenzisa ifomula Umthetho ka-Ohm :
V = IR noma I = V / R
Incazelo yefomula: V = i-voltage, I = yamanje, R = i-resistor yokufaka esikhundleni
Isithambisi sokufaka esikhundleni:
I-Hitung isitha ukufaka esikhundleni sesekethe engenhla.
Umphikisi R₁ kanye ne-resistor R₂ ihlelwe ngokulingana. I-resistor yokufaka esikhundleni yile:
1 / R₁₂ = 1/R₁ +1/R₂ = 1/4 + 1/4 = 2/4
R₁₂ = 4/2 = 2 Ω
Umphikisi R₁₂ kanye ne-resistor R₃ ihlelwe ngokulandelana. I-resistor yokufaka esikhundleni yile:
R= R₁₂ + R₃ = 2 + 8 = 10 Ω
Ugesi ophuma ebhethri :
I = V / R = 40 / 10 = 4 Ampere
Amandla kagesi aphuma ebhethri angama-4 Ampere.

I-voltage kagesi V_ab kanye no-V_bc
Umthetho Wokuqala KaKirchhoff ithi inani lamandla kagesi angena egatsheni lifana nenani lamandla kagesi aphuma kulelo gatsha. Ngokusekelwe emthethweni wokuqala kaKirchhoff, kuphethwa ngokuthi uma ugesi ophuma ebhethri ungama-Ampere angu-4, khona-ke ugesi odlula ku-ab ufana nama-Ampere angu-4, ngokufanayo nogesi odlula ku-bc ungama-Ampere angu-4.
I-voltage kagesi V_ab :
V_ab = Mina_ab R_ab = (4)(2) = 8 Ama-volts
I-voltage kagesi V_bc :
V_bc = Mina_bc R_bc = (4)(8) = 32 Ama-volts
Isekethe engenhla ihlelwe ngokulandelana ukuze i-voltage kagesi iyonke ibe yi-V = V_ab +V_bc = 8 Ama-volts + 32 Ama-volts = 40 Ama-volts.
Ugesi ogeleza ngo-R₁ = 4 Ω
I₁ =V_ab /R₁ = 8 Ama-volts / 4 Ohms = 2 Ama-amps
I₂ =V_ab /R₂ = 8 Ama-volts / 4 Ohms = 2 Ama-amps
Ugesi ophuma ebhethrini ungama-Ampere angu-4. Uma ufika endaweni a, ugesi uhlukana kabili, kanti ama-Ampere angu-2 ageleza nge-resistor R.₁ kanye nogesi ongu-2 Amperes ugeleza nge-resistor R₂. 2 Ama-Ampere + 2 Ama-Ampere = Ama-Ampere ama-4. Lokhu kuvumelana nomthetho wokuqala kaKirchhoff.
Impendulo efanele ngu-A.

2. Cabanga ngesekethe kagesi elandelayo. Ubukhulu bomsinga ogeleza nge-resistor engu-4 Ω…
A. 1,0 A
B. 1,2 A
C. 1,6 A
D. 2,4 A
E. 3,2 A
Ingxoxo
I-Diketahui :
Isivikelo 1 (R)₁) = 6 Ω
Isivikelo 2 (R)₂) = 4 Ω
Isivikelo 3 (R)₃) = 1,6 Ω
I-voltage kagesi (V) = 16 Volts
Kubuziwe : Umsinga ogeleza nge-resistor engu-4 Ω
Jawab :
Ugesi ugeleza usuka kumandla aphezulu uye kumandla aphansi. Isiqondiso sogesi kusekethe engenhla sifana nesiqondiso sezandla zewashi.
Ugesi ophuma ebhethri
Isithambisi sokufaka esikhundleni:
Umphikisi R₁ kanye ne-resistor R₂ ihlelwe ngokulingana. I-resistor yokufaka esikhundleni yile:
1 / R₁₂ = 1/R₁ +1/R₂ = 1/6 + 1/4 = 2/12 + 3/12 = 5/12
R₁₂ = 12/5 = 2,4 Ω
Umphikisi R₁₂ kanye ne-resistor R₃ ihlelwe ngokulandelana. I-resistor yokufaka esikhundleni yile:
R= R₁₂ + R₃ = 2,4 + 1,6 = 4 Ω
Ugesi ophuma ebhethri :
I = V / R = 16 / 4 = 4 Ampere
Amandla kagesi aphuma ebhethri angama-4 Ampere.

I-voltage kagesi V_ab kanye no-V_bc
Ngokusekelwe emthethweni wokuqala kaKirchhoff, kuphethwa ngokuthi uma ugesi ophuma ebhethri ungama-Ampere angu-4, khona-ke ugesi odlula ku-ab ufana nama-Ampere angu-4, ngokufanayo nogesi odlula ku-bc ungama-Ampere angu-4.
I-voltage kagesi V_ab :
V_ab = Mina_ab R_ab = (4)(2,4) = 9,6 Ama-volts
I-voltage kagesi V_bc :
V_bc = Mina_bc R_bc = (4)(1,6) = 6,4 Ama-volts
Isekethe engenhla ihlelwe ngokulandelana ukuze i-voltage kagesi iyonke ibe yi-V = V_ab +V_bc = 9,6 Ama-volts + 6,4 Ama-volts = 16 Ama-volts.
Ugesi ogeleza ngo-R₂ = 4 Ω
I₁ =V_ab /R₁ = 9,6 Ama-volts / 6 Ohms = 1,6 Ama-amps
I₂ =V_ab /R₂ = 9,6 Ama-volts / 4 Ohms = 2,4 Ama-amps
Ugesi ophuma ebhethrini ungama-Ampere angu-4. Uma ufika endaweni a, ugesi uhlukana kabili, kanti ama-Ampere angu-1,6 ageleza nge-resistor R.₁ kanye nogesi ongu-2,4 Amperes ugeleza nge-resistor R₂. 1,6 Ama-Ampere + 2,4 Ama-Ampere = Ama-Ampere ama-4. Lokhu kuvumelana nomthetho wokuqala kaKirchhoff.
Impendulo efanele ngu-D.

3. Naka isekethe kagesi elandelayo!

Uma i-resistor engu-5 Ohm esesekethe ithathelwa indawo yi-resistor engu-7 Ohm, khona-ke isilinganiso samandla aphelele ageleza esesekethe ngaphambi nangemva kokufakwa esikhundleni...

Ingxoxo

I-resistor engu-6 Ohm kanye ne-resistor engu-6 Ohm zixhunywe ngokulingana. Ama-resistor alinganayo yilawa:

1 / R_AB = 1/6 + 1/6 = 2/6

R_AB = 6/2 = 3 Ohms

Sebenzisa umthetho wesibili kaKirchhoff kusekethe, uma ukumelana = 5 Ohm:

Khetha isiqondiso samanje ngokwewashi.

12 – 5I – 4 – 3I = 0

12 – 4 – 5I – 3I = 0

8 – 8I = 0

8 = 8I

I = 8/8

I = 1 Ampere

U-I uphawulwe ngokuthi u-positive, okusho ukuthi indlela kagesi ohamba ngayo ihambisana nokukhetha, okungukuthi ngokwewashi.

Sebenzisa umthetho wesibili kaKirchhoff kusekethe, uma ukumelana = 7 Ohm:

Khetha isiqondiso samanje ngokwewashi.

12 – 7I – 4 – 3I = 0

12 – 4 – 7I – 3I = 0

8 – 10I = 0

8 = 10I

I = 8/10

I = 0,8 Ampere

U-I uphawulwe ngokuthi u-positive, okusho ukuthi indlela kagesi ohamba ngayo ihambisana nokukhetha, okungukuthi ngokwewashi.

Ukuqhathaniswa kwamandla kagesi ngaphambi nangemva:

1: 0,8

10: 8

5: 4

4. Naka isekethe kagesi elandelayo!

Ubukhulu bamandla ku-resistor 6 Ω kuyinto…

A. Ama-Watts angu-1,5

B. 3,0 Watts

C. 6,0 Watts

Ama-watt angu-D. 9,0

Ama-watt angu-18,0 E.

Ingxoxo

Ifomula yamandla kagesi:

P = ngi² R

Ngaphambi kokubala amandla kagesi, qala ubale ugesi odlula ekuphikiseni 6. U-Ω usebenzisa umthetho kaKirchhoff.

Isiqondiso samanje sikhethwe njengoba kuboniswe esithombeni ohlangothini.

Sebenzisa umthetho wokuqala kaKirchhoff:

I₁ + Mina₂ = Mina₃ .......... Isibalo 1

Sebenzisa umthetho wesibili kaKirchhoff ku-I₁ :

6 – 12 I₁ – 6 I₃ = 0

-12 I₁ = 6 I₃ - 6

I₁ = (6 I₃ – 6) / -12 ………. Isibalo 2

Sebenzisa umthetho wesibili kaKirchhoff ku-I₂ :

6 – 12 I₂ – 6 I₃ = 0

-I-12 I₂ = 6 I₃ - 6

I₂ = (6 I₃ – 6) / -12 ………. Isibalo 3

Ukushintsha isibalo 2 dan isibalo 3 ke isibalo 1:

I₃ uphawu oluhle lusho isiqondiso I₃ ngokwesiqondiso esikhethiwe, njengasesithombeni esingenhla.

sebenzisa isibalo 2 ukubala i-I₁:

I₁ = (6 I₃ – 6) / -12

I₁ = (6.0,5 – 6) / -12

I₁ = (3 – 6) / -12

I₁ = -3 / -12

I₁ = 1/4 A

I₁ uphawu oluhle lusho isiqondiso I₁ ngokwesiqondiso esikhethiwe, njengasesithombeni esingenhla.

sebenzisa isibalo 3 ukubala i-I₂:

I₂ = (6 I₃ – 6) / -12

I₂ = (6.0,5 – 6) / -12

I₂ = (3 – 6) / -12

I₂ = -3 / -12

I₂ = 1/4 A

I₂ uphawu oluhle lusho isiqondiso I₁ ngokwesiqondiso esikhethiwe, njengasesithombeni esingenhla.

Sebenzisa umthetho wokuqala kaKirchhoff ukufakazela ukunemba kwemiphumela etholakele:

I₁ + Mina₂ = Mina₃

1/4 + 1/4 = 1/2

Amandla kagesi adlula ekuphikisweni 6 Ω ingabe mina₃ = 1/2 Ampere.

Amandla kagesi ekumelaneni 6 I-Ω iyi P = ngi² R = (1/2)² (6) = 1/4 (6) = 1,5 Watts

Impendulo efanele ngu-A.

5. Kumdwebo wesekethe kagesi ohlangothini, ubukhulu bomehluko wamandla kagesi kulo lonke i-resistor R bungu₃ kuyinto…

A. 0,5 V

B. 0,6 V

C. 0,9 V

D. 1,0 V

E. 1,3 V

Ingxoxo

Kuyaziwa ukuthi:

Isithiyo 1 (R)₁= = 2 Ω

Isithiyo 2 (R)₂= = 4 Ω

Isithiyo 3 (R)₃= = 3 Ω

Umthombo we-emf 1 (E)₁) = 6 Volt

Umthombo we-emf 2 (E)₂) = 9 Volt

Kubuziwe: Umehluko wamandla kagesi kulo lonke i-resistor R₃

Impendulo:

Bala ugesi (I) ogeleza nge-resistor R₃

Okokuqala bala ugesi ogeleza kusekethe:

Ekuxazululeni le nkinga, kukhethwa indlela yamanje ukuthi ihambisane newashi.

E₁ – i-IR₁ - E₂ – i-IR₂ – i-IR₃ = 0

6 – 2I – 9 – 4I – 3I = 0

6 – 9 – 2I – 4I – 3I = 0

-3 – 9I = 0

-3 = 9I

I = -3/9

I = -1/3

Ugesi ogeleza kusekethe uyi-1/3 Ampere. Ugesi onophawu olune-negative usho ukuthi isiqondiso sogesi singu- akuhambelani ne- ngendlela ecishe ifane kodwa ephambene newashi.

Isekethe ihlelwe ngokulandelana ukuze ugesi ogeleza kusekethe = ugesi ogeleza ku-resistance R₃ = 1/3 Ampere.

Bala umehluko ongaba khona (V) kulo lonke i-resistor R₃

V = IR₃ = (1/3)(3) = 1 I-Volt

Impendulo efanele ngu-D.

6. Bheka isithombe senethiwekhi ngezansi!

Ukuze amandla kagesi phakathi kwamaphoyinti C no-D alingane nama-volts angu-4, inani lika-R...

A. 1 Ohm

B. 2 Ohms

C. 4 Ohms

D. 8 Ohm

E. 10 Ohm

Ingxoxo

Kuyaziwa ukuthi:

Isithiyo 1 (R)₁= = 2 Ω

Isithiyo 2 (R)₂= = 2 Ω

Isithiyo 3 (R)₃) = R

Umthombo we-emf 1 (E)₁) = 8 Volt

Umthombo we-emf 2 (E)₂) = 4 Volt

Umehluko wamandla kagesi phakathi kwamaphuzu C no-D (V)_CD) = 4 Volt

Kubuziwe: Inani lokumelana R

Impendulo:

Bala inani lokumelana R

V_CD = I-IR

4 = i-IR

R = 4 / I

Kuyaqhubeka…..

Bala ugesi (I) ogeleza nge-resistor R

Ekuxazululeni le nkinga, kukhethwa indlela yamanje ukuthi ihambisane newashi.

- E₁ – 2I + E₂ – 2I – IR = 0

– 8 – 2I + 4 – 2I – I (4/I) = 0

– 8 – 2I + 4 – 2I – 4 = 0

– 8 + 4 – 4 – 2I – 2I = 0

– 8 – 4I = 0

– 8 = 4I

I = -8 / 4

I = -2 Ampere

Ugesi ogeleza kusekethe ungama-Ampere ama-2. Ugesi awubi, okusho ukuthi isiqondiso sogesi singu- akuhambelani ne- ngendlela ecishe ifane kodwa ephambene newashi.

Isekethe ihlelwe ngokulandelana ukuze ugesi ogeleza kusekethe = ugesi ogeleza ku-resistance R = Ama-Ampere ama-2.

Inani lokumelana R

Qhubeka…..

R = 4 / I = 4 / 2 = 2 Ohm

Impendulo efanele ingu-B.

I-7 PBheka umdwebo wesekethe kagesi olandelayo! Ubukhulu be-voltage yokubopha ku-resistor U-R u…

A. 20 Volt

B. 8 Volt

C. 5 Volt

D. 4 Volt

E. 2 Volt

Ingxoxo

I-EMF (E) = umehluko ongaba khona womthombo wamandla kagesi ngaphambi kokugeleza kwamandla kagesi

I-voltage ye-clamp (V) = umehluko ongaba khona womthombo we-voltage kagesi ngemva kokugeleza kwamandla kagesi

Kuyaziwa ukuthi:

Isithiyo 1 (R)₁) = 2 Ω

Isithiyo 2 (R)₂) = 4 Ω

Isithiyo 3 (R)₃= = 4 Ω

Umthombo we-emf 1 (E)₁) = 20 Volt

Umthombo we-emf 2 (E)₂) = 15 Volt

Kubuziwe: Ubukhulu be-voltage yokubopha ku-resistor R (V)

Impendulo:

Bala ugesi ogeleza kusekethe (I)

Le nkinga ihlobene nomthetho kaKirchhooff. Izinyathelo nendlela yokuxazulula le nkinga:

I-Pertama, khetha indlela yamanje oyithandayo. Ungakhetha ngokuphambene newashi noma ngokuphambene newashi.

I-Kedua, lapho ugesi udlula ku-resistor noma i-resistor (R) kuba nokwehla kwamandla okwenza ukuthi i-V = IR ibe negative.

I-Ketiga, uma ugesi usuka emazingeni aphansi uye emazingeni aphezulu (- kuya ku-+) khona-ke umthombo we-emf (E) umakwe njengomuhle ngoba kukhona ukushaja kwamandla emthonjeni we-emf. Uma ugesi usuka emazingeni aphezulu uye emazingeni aphansi (+ kuya ku--) khona-ke umthombo we-emf (E) umakwe njengomubi ngoba kukhona ugesi ophuma emthonjeni we-emf.

Ekuxazululeni le nkinga, kukhethwa indlela yamanje ukuthi ihambisane newashi.

E₁ – i-IR₁ – i-IR₂ – i-IR₃ - E₂ = 0

20 – I(2) – I(4) – I(4) – 15 = 0

20 – 15 – Mina (2) – Mina (4) – Mina (4) = 0

5 – 10 I = 0

5 = 10 I

I = 5/10

I = 0,5 Ampere

Ugesi ogeleza kusekethe ungama-Ampere angu-0,5. Ugesi omuhle ubonisa ukuthi isiqondiso samandla sinjengoba kulindelekile, ngokwewashi.

Bala ukumelana okulinganayo (R)

Isivikelo 1 (R₁), i-resistor 2 (R₂) kanye ne-resistor 3 (R₃) ixhunywe ochungechungeni. Isithambisi sokufaka esikhundleni:

R = R₁ + R₂ + R₃ = 2 Ω + 4 Ω + 4 Ω = 10 Ω

I-voltage ye-clamp ku-resistor R (V)

V = IR = (0,5)(10) = 5 Volts

Indlela esheshayo:

I-voltage yokubopha inganqunywa ngqo ngale ndlela elandelayo:

V = E₁ - E₂ = 20 – 15 = 5 Volt

Impendulo efanele ngu-C.

8. Bheka umdwebo wesekethe kagesi olandelayo! Ukusabalala kwamandla ku-resistor engu-3Ω…

A. Ama-Watts angu-4

B. 8 Watts

C. 12 Watts

Ama-watt angu-D. 16

Ama-watt angu-20 E.

Ingxoxo

Amandla okuhlakazeka = amandla asetshenzisiwe

Kuyaziwa ukuthi:

Isithiyo 1 (R)₁= = 2 Ω

Isithiyo 2 (R)₂= = 3 Ω

Isithiyo 3 (R)₃= = 4 Ω

Umthombo we-emf 1 (E)₁) = 8 Volt

Umthombo we-emf 2 (E)₂) = 10 Volt

Kubuziwe: Ukushabalalisa amandla ekuphikisweni kwe-3Ω

Impendulo:

Amandla okuhlakazeka

Amandla okusaphaza abalwa kusetshenziswa ifomula:

P = VI

Incazelo: P = amandla, V = umehluko ongaba khona kuzo zombili iziphetho ze-resistor 3Ω, I = ugesi ogeleza ngokumelana 3Ω.

Bala ugesi (I) ogeleza ngokumelana 3Ω

Okokuqala bala ugesi ogeleza kusekethe:

Ekuxazululeni le nkinga, kukhethwa indlela yamanje ukuthi ihambisane newashi.

E₁ – i-IR₁ – i-IR₂ – i-IR₃ +E₂ = 0

8 – I(2) – I(3) – I(4) + 10 = 0

18 – 9 I = 0

18 = 9 I

Mina = 18/9

I = 2 Ampere

Ugesi ogeleza kusekethe ungama-Ampere angu-2. Ugesi omuhle ubonisa ukuthi isiqondiso samandla sinjengoba kulindelekile, ngokwewashi.

Isekethe ihlelwe ngokulandelana ukuze ugesi ogeleza kusekethe = ugesi ogeleza ku-resistor 3Ω = 2 Ampere.

Bala umehluko ongaba khona (V) kulo lonke i-resistor engu-3 Ω

V = IR₂ = (2 A)(3 Ω) = 6 Volt

Bala ukushabalaliswa kwamandla ku-resistor engu-3Ω

P = VI = (6 Volt)(2 Ampere) = 12 Volt Ampere = 12 Watt

Impendulo efanele ngu-C.

9. Bheka umdwebo wesekethe kagesi olandelayo! Umehluko ongaba khona phakathi kwamaphuzu A no-B…

A. 1,5 volts

Ama-volts angu-B. 3,0

Ama-volt angu-C. 6,0

D. 7,5 volts

Ama-volt angu-E. 9,0

Ingxoxo

Kuyaziwa ukuthi:

Isithiyo 1 (R)₁= = 2 Ω

Isithiyo 2 (R)₂= = 3 Ω

Isithiyo 3 (R)₃= = 4 Ω

Umthombo we-emf 1 (E)₁) = 8 Volt

Umthombo we-emf 2 (E)₂) = 10 Volt

Kubuziwe: Umehluko ongaba khona (V) phakathi kwamaphuzu A no-B

Impendulo:

Bala ugesi (I) ogeleza ngokumelana 3Ω

Okokuqala bala ugesi ogeleza kusekethe:

Ekuxazululeni le nkinga, kukhethwa indlela yamanje ukuthi ihambisane newashi.

- E₁ – i-IR₁ – i-IR₂ - E₂ – i-IR₃ = 0

– 8 – Mina (2) – Mina (3) – 10 – Mina (4) = 0

– 18 – 9 I = 0

– 18 = 9 I

I = -18 / 9

I = – 2 Ampere

Ugesi ogeleza kusekethe ungama-Ampere ama-2. Ugesi awubi, okusho ukuthi isiqondiso sogesi singu- akuhambelani ne- ngendlela ecishe ifane kodwa ephambene newashi.

Isekethe ihlelwe ngokulandelana ukuze ugesi ogeleza kusekethe = ugesi ogeleza ku-resistor 3Ω = 2 Ampere.

Bala umehluko ongaba khona (V) kulo lonke i-resistor engu-3 Ω

V = IR₂ = (2 A)(3 Ω) = 6 Volt

Impendulo efanele ngu-C.

Umthombo Wemibuzo:

Imibuzo Yefiziksi Yezivivinyo Zikazwelonke Zesikole Samabanga Aphezulu/Isikole Samabanga Aphezulu Sokufundela Umsebenzi