15 Ngā Tauira o ngā Raru Arahiko Hiko
1. Tirohia te pikitia!
Mena ko R 1 , = 6 Ω, ko R 2 = R 3 = 2 Ω, ā, ko te rerekētanga pūmanawa he 14 volts, ko te rahi o te iahiko e rere ana ko...
A. 7 A
B. 6 A
C. 2 A
D. 1 A
Kōrero
E mōhiotia ana:
Ātete 1 (R 1 ) = 6 Ω
Ātete 2 (R 2 ) = 2 Ω
Ātete 3 (R 3 ) = 2 Ω
Rerekētanga pūmanawa (V) = 14 Volts
Pātai : E pēhea te kaha o te ia e rere ana?
Whakautu:
Tātaihia te ātete whakakapinga (R):
Kei te honoa whakarara a R2 me R3. Ko ngā ātete whakakapinga ko :
1/R 23 = 1/R 2 + 1/R 3 = 1/2 + 1/2 = 2/2
R 23 = 2/2 = 1 Ω
Kei te honoa raupapa a R 1 me R 23. Ko te ātete whakakapinga ko:
R = R1 + R23 = 6 Ω + 1 Ω
R = 7 Ω
Tātaihia te kaha o te au (I):
I = V / R = 14 / 7 = 2 Āpere
Ko te whakautu tika ko C.
2. Mena he ōrite te uara o ia ātete, ā, he ōrite te rerekētanga pūmanawa kua tāutahia, ko te ara iahiko me te uara iahiko nui rawa atu ko...

Kōrero




Me kī ko te uara o ia ātete ko R, ā, ko te rerekētanga pūmanawa ko V.
Ko te whakautu tika ko B.
3. Tirohia te pikitia!
Ina honoa te pana S 2 , ka tohua te ahunga tika o te iahiko e te pūwāhi...
A. A – B – E – F
P. P – C – D – F
C. A – C – D – F
D. F – E – B – A
Kōrero
Ka neke te au hiko mai i tētahi pūwāhi kaha teitei ki tētahi pūwāhi kaha iti. Mēnā ka kati te pana s2 (kei te taha o te pūwāhi A te pana s2), ka neke te au hiko mai i A ki B ki E ki F. Kāore te au hiko e neke ki C me D nā te mea kei roto a C me D i tētahi ara iahiko tuwhera.
Ko te whakautu tika ko A.
4. Tirohia te pikitia e whai ake nei!
Mena ko R 1 = 4 ohms, ko R 2 = 6 ohms, ko R 3 = 2 ohms, ā, ko V = 24 volts, ko te nui o te iahiko e rere ana i roto i te ara iahiko ko...
A. 0,5 ampere
B. 1 ampere
C. 2 āpere
D. 12 āpere
Kōrero
E mōhiotia ana:
Ātete 1 (R 1 ) = 4 Ohm
Ātete 2 (R 2 ) = 6 Ohm
Ātete 3 (R 3 ) = 2 Ohm
Ngaohiko hiko (V) = 24 Volts
I pātaihia: Te kaha o te ia e rere ana i roto i te ara iahiko
Whakautu:
Kua honoa raupapatia a R1, R2 me R3. Ko ngā ātete whakakapinga ko :
R = R1 + R2 + R3 = 4 + 6 + 2
R = 12 Ōhm
Te iahiko e rere ana i roto i te ara iahiko:
I = V / R = 24 / 12 = 2 Āpere
Ko te whakautu tika ko C.
5. Tirohia te pikitia! Ko te rama he rite te iahiko ki te iahiko e rere ana i roto i te pūtake emf ko...
A. L1
B. L 2
C. L 3
D. L 4
Kōrero
E ai ki te Ture Tuatahi a Kirchhoff, ka wehea te iahiko e rere ana i roto i tētahi peka. Hei tauira, mēnā ko te iahiko e rere ana mai i te pūtake emf he 4 Amperes, ina uru ki ngā peka e rua, ka wehea tēnei iahiko kia rua, ā, ko ia waea he iahiko e mau ana i te 2 Amperes. Ka wehea te iahiko 2 Amperes kia rua mēnā ka uru te iahiko ki tētahi peka he rua ōna peka. Heoi, e ai ki te ahua i runga ake nei, ka hanumi anō ngā iahiko kua wehea.
Nō reira, i runga i te ahua i runga ake nei, ko te rama he rite te iahiko ki te iahiko e rere ana i roto i te pūtake emf ko te rama tuarua (L2 ) kei te kokonga matau o runga.
Ko te whakautu tika ko B.
6. Mai i te hoahoa ara iahiko e whai ake nei, ko tēhea te mea ka kawe i te iahiko hiko nui rawa atu?

Kōrero
Te iahiko i roto i te ara iahiko A.
Ātete whakakapinga (R):
R1 = 3 Ω, R2 = 4 Ω , R3 = 4 Ω , V = 12 Volts
Kei te honoa whakarara a R2 me R3. Ko ngā ātete whakakapinga ko :
1/R 23 = 1/R 2 + 1/R 3 = 1/4 + 1/4 = 2/4 = 1/2
R 23 = 2/1 = 2 Ω
Kei te honoa raupapa a R 1 me R 23. Ko te ātete whakakapinga ko:
R = R 1 + R 23 = 3 Ω + 2 Ω = 5 Ω
Te kaha o te au hiko (I):
I = V / R = 12 / 5 = 2,4 Āpere
Te iahiko i roto i te ara iahiko B.
Ātete whakakapinga (R):
R1 = 8 Ω, R2 = 2 Ω , R3 = 2 Ω , V = 36 Volts
Kua honoa raupapatia a R1 , R2 me R3 . Ko ngā ātete whakakapinga ko:
R = R1 + R2 + R3 = 8 + 2 + 2 = 12 Ω
Te kaha o te au hiko (I):
I = V / R = 36 / 12 = 3 Āpere
Te iahiko i roto i te ara iahiko C.
Ātete whakakapinga (R):
R1 = 4 Ω, R2 = 4 Ω , R3 = 6 Ω , V = 12 Volts
Kei te honoa whakarara a R2 me R3. Ko ngā ātete whakakapinga ko :
1/R 23 = 1/R 2 + 1/R 3 = 1/4 + 1/4 + 1/6 = 3/12 + 3/12 + 2/12 = 8/12
R 23 = 12/8 = 1,5 Ω
Te kaha o te au hiko (I):
I = V / R = 12 / 1,5 = 8 Āpere
Te iahiko hiko i roto i te ara iahiko D.
Ātete whakakapinga (R):
R1 = 3 Ω, R2 = 3 Ω, R3 = 3 Ω, R4 = 3 Ω, R5 = 6 Ω, V = 24 Ngāohiko
Kei te honoa whakarara a R2, R3 me R4. Ko ngā ātete whakakapinga ko :
1/R 234 = 1/R 2 + 1/R 3 + 1/R 4 = 1/3 + 1/3 + 1/3 = 3/3
R 234 = 3/3 = 1 Ω
Kua honoa raupapatia a R1, R234 me R5. Ko ngā ātete whakakapinga ko :
R = R1 + R234 + R5 = 3 + 1 + 6 = 9 Ω
Te kaha o te au hiko (I):
I = V / R = 24 / 9 = 2,6 Āpere
Ko te whakautu tika ko C.
7. Kia aro ki te raupapa e whai ake nei!
Whakatauhia:
A. Ātete katoa
B. Te rahi o te iahiko i roto i te ara iahiko
C. Iaianei I 1
D. Ia au I 2
Kōrero
E mōhiotia ana:
Ātete 1 (R 1 ) = 4 Ω
Ātete 2 (R 2 ) = 4 Ω
Ātete 3 (R 3 ) = 2 Ω
Ātete 4 (R 4 ) = 3 Ω
Ngaohiko hiko (V) = 12 Volts
Whakautu:
A. Ātete katoa (R)
Ka honoa ngā ātete R2 me R3 i roto i te raupapa. Ko ngā ātete whakakapinga ko:
R 23 = R 2 + R 3 = 4 Ω + 2 Ω = 6 Ω
Kei te honoa whakarara te ātete R 23 me te ātete R 4. Ko te ātete whakakapinga ko:
1/R 234 = 1/ R 23 + 1/ R 4 = 1/6 + 1/3 = 1/6 + 2/6 = 3/6
R 234 = 6/3 = 2 Ω
Kei te honoa raupapa te ātete R 1 me te ātete R 234. Ko te ātete whakakapinga ko:
R = R 1 + R 234 = 4 Ω + 2 Ω = 6 Ω
Nō reira, ko te ātete katoa he 6 Ōhms.
B. Te rahi o te iahiko hiko i roto i te ara iahiko (I)
Ko te tātai e whakaatu ana i te whanaungatanga i waenga i te ngaohiko, te iahiko me te ātete ko:
V = IR
Whakaahuatanga tātai: V = ngaohiko hiko, I = iahiko hiko, R = ātete hiko
Whakamahia tēnei tātai hei tatau i te kaha o te iahiko:
I = V / R = 12 Volts / 6 Ohms = 2 Amps
C. Auaha I1
Ko te iahiko e tika ana mā te ātete R 1 = te iahiko e tika ana mā te ara iahiko = 2 Āmperes.
D. Auaha I2
I mua i te tatau i te iahiko e haere ana i roto i te ātete R2, kia aro tuatahi ki te whakamārama e whai ake nei.
Ka honoa ngā ātete R 23 me R 4 ki te taha whakarara. Ko te ātete whakakapinga i runga i te tātaitanga o mua ko R 234 = 2 Ohm.
Ko te iahiko e tika ana mā te ātete R 234 = ko te iahiko e tika ana mā te ātete R 1 = 2 Amperes.
Ko te rerekētanga pūmanawa i waenga i ngā pito e rua o te ātete R234 ko:
V = IR 234 = (2 A)(2 Ohm ) = 4 Ngā Waehiko
Ko te rerekētanga pūmanawa i waenga i ngā pito e rua o te ātete R 234 = te rerekētanga pūmanawa i waenga i ngā pito e rua o te ātete R 4 = te rerekētanga pūmanawa i waenga i ngā pito e rua o te ātete R 23 = 4 Volts.
Ko te ātete whakakapinga R 23 i runga i ngā hua tātaitanga o mua he 6 Ohms.
Nō reira, ko te iahiko e tika ana mā te ātete whakakapinga R23 ko:
I = V / R = 4 Volts / 6 Ohms = 2/3 Ampere
Ko te iahiko e tika ana mā te ātete R 23 = te iahiko e tika ana mā te ātete R 2 = te iahiko e tika ana mā te ātete R 3 = 2/3 Ampere.
8. Tirohia te ara iahiko hiko i te taha! Mena ko R1 = R2 = 10 Ω me R3 = R4 = 8 Ω. E hia te nui o te iahiko (I) e rere ana?
A. 0,5 A
B. 2 A
C. 36 A
D. 288 A
Kōrero
E mōhiotia ana:
Ātete R 1 = Ātete R 2 = 10 Ω
Ātete R 3 = Ātete R 4 = 8 Ω
Ngaohiko hiko (V) = 12 Volts
Pātai: Te kaha o te iahiko (I) e rere ana
Whakautu:
Ātete whakakapinga (R).
Kei te honoa whakarara te ātete R3 me te ātete R4 , ko te ātete whakakapinga ko:
1/R 34 = 1/R 3 + 1/R 4 = 1/8 + 1/8 = 2/8
R 34 = 8/2 = 4 Ω
Ka honoa raupapatia ngā ātete R1 , R2 me R34 , ko ngā ātete whakakapinga ko:
R = R 1 + R 2 + R 34 = 10 Ω + 10 Ω + 4 Ω = 24 Ω
Te kaha o te au hiko:
I = V / R = 12 Ngāohiko / 24 Ōhm = 0,5 Ngāohiko/Ōhm = 0,5 Ngā Amps
Ko te whakautu tika ko A.
9. Tirohia te pikitia o te ara iahiko hiko kua kati i te taha! Ki te kore e arohia te ātete i roto i te pākahiko, ko te iahiko (I) e rere ana i roto i te ara iahiko ko…..
A. 0,5 Āpere 
B. 1 Āpere
C. 2 Āmpere
D. 3 Āmpere
Kōrero
E mōhiotia ana:
Ātete R 1 = 3 Ohm
Ātete R 2 = 3 Ohm
Ātete R 3 = 6 Ohm
Ngaohiko hiko (V) = 6 Volts
Pātai: Te kaha o te au hiko (I)
Whakautu:
Tātaihia te ātete whakakapinga:
Ka honoa ngā ātete R1 me R2 i roto i te raupapa. Ko ngā ātete whakakapinga ko:
R 12 = R 1 + R 2 = 3 Ōhm + 3 Ōhm = 6 Ōhm
Kei te honoa whakarara te ātete R12 me te ātete 3. Ko te ātete whakakapinga ko:
1/R = 1/R 12 + 1/R 3 = 1/6 + 1/6 = 2/6
R = 6/2 = 3 Ōhm
Te kaha o te au hiko:
I = V / R = 6 / 3 = 2 Āpere
Ko te whakautu tika ko C.
10. Tirohia te hoahoa ara iahiko kati i raro nei! Ko te iahiko katoa o te ara iahiko ko…
A. 0,5 A
B. 0,6 A
C. 1,2 A
D. 2,0 A
Kōrero
E mōhiotia ana:
Ātete R 1 = 6 Ohm
Ātete R 2 = 4 Ohm
Ngaohiko hiko (V) = 6 Volts
Ātete ā-roto (r) = 0,6 Ohm
Pātai: Te tapeke o te iahiko i roto i te ara iahiko
Whakautu:
Ātete R1 me te ātete R2 honoa whakarara. Ko te ātete whakakapinga ko:
1/R P = 1/R1 + 1/R2 = 1/6 + 1/4 = 4/24 + 6/24 = 10/24
R P = 24/10 = 2,4 Ōhm
Ātete RP ā, ko te ātete ā-roto (r) e honoa raupapa ana. Ko te ātete ōrite ko:
R = R P + r = 2,4 Ōhm + 0,6 Ōhm = 3,0 Ōhm
Ko te iahiko katoa o te ara iahiko ko:
I = V / R = 6 Volts / 3 Ohms = 2 Amps
Ko te whakautu tika ko D.
11.
Tirohia te ara iahiko hiko i te taha! Ko te rahi o te ngaohiko V ko…
A. 9,6 Ngā Waohiko
B. 6,4 Ngā Waohiko
C. 4,5 Ngā Waohiko
D. 3,2 Ngā Waohiko
Kōrero
E mōhiotia ana:
Ātete 1 (R1) = 16 Ōhm
Ātete 2 (R2) = 8 Ōhm
Ātete 3 (R3) = 6 Ōhm
Iahiko (I) = 2 Āmpere
Pātai: Ngaohiko hiko (V)
Whakautu:
Ātete whakakapinga
R1 tāne R2 honoa raupapa. Ko te ātete whakakapinga ko:
RA = R1 + R2 = 16 + 8 = 24 Ōhm
RA tāne R3 honoa whakarara. Ko te ātete whakakapinga ko:
1/R = 1/RA + 1/R3 = 1/24 + 1/6
1/R = 1/24 + 4/24 = 5/24
R = 24/5 = 4,8 Ōhm
Ngaohiko hiko :
V = IR = (2)(4,8) = 9,6 Ngāohiko
Ko te whakautu tika ko A.
12. Tirohia te hoahoa ara iahiko hiko kei te taha! Ki te kore e arohia te ātete i roto i te pūtake ngaohiko, ka whakaatuhia e te mita ngaohiko V he ngaohiko ine o...
A. 4 V
B. 6 V
C. 9 V
D. 10 V
Kōrero
E mōhiotia ana:
Ātete 1 (R1) = 3,6 Ōhm
Ātete 2 (R2) = 6 Ōhm
Ātete 3 (R3) = 4 Ōhm
Iahiko (I) = 1,5 Āmpere
Pātai: Ngaohiko hiko (V)
Whakautu:
Ātete whakakapinga
R2 tāne R3 honoa whakarara. Ko te ātete whakakapinga ko:
1 / RA = 1/R2 + 1/R3 = 1/6 + 1/4
1 / RA = 2/12 + 3/12 = 5/12
RA = 12/5 = 2,4 Ōhm
R1 tāne RA honoa raupapa. Ko te ātete whakakapinga ko:
R = R1 + RA = 3,6 + 2,4 = 6 Ōhm
Ngaohiko hiko :
V = IR = (1,5)(6) = 9 Ngāohiko
Ko te whakautu tika ko C.
13.
Tirohia te hoahoa ara iahiko hiko kati e whai ake nei! Mēnā ka warewarehia te ātete i roto i te pūtake ngaohiko E, ka whakaatuhia e te mita ngaohiko V he ngaohiko kua inehia o...
A. 2 V
B. 4 V
C. 6 V
D. 12 V
Kōrero
E mōhiotia ana:
Ātete 1 (R1) = 3 Ōhm
Ātete 2 (R2) = 2 Ōhm
Ātete 3 (R3) = 4 Ōhm
Iahiko (I) = 2 Āmpere
Pātai: Ngaohiko hiko (V)
Whakautu:
Ātete whakakapinga
R2 tāne R3 honoa raupapa. Ko te ātete whakakapinga ko:
RA = R2 + R3 = 2 + 4 = 6 Ōhm
R1 tāne RA honoa whakarara. Ko te ātete whakakapinga ko:
1/R = 1/R1 + 1/RA = 1/3 + 1/6
1/R = 2/6 + 1/6 = 3/6
R = 6/3 = 2 Ōhm
Ngaohiko hiko :
V = IR = (2)(2) = 4 Ngāohiko
Ko te whakautu tika ko B.
14. I roto i te hoahoa ara iahiko hiko e whai ake nei, he rite tonu ngā rama mura ahi a A, B, C, D me E.
Ki te tangohia te rama B, ko te rama e kanapa ake ana ko...
A. rama A me C
B. rama A me D
C. rama C me D
D. rama C me E
E. rama D me E
Kōrero
Ko te tikanga o ngā rama mura e rima he rite tonu te ātete o ia rama.
Nā te mea he ōrite te ātete, ko te kanapa o te rama ka whakawhirinaki anake ki te kaha o te iahiko e rere ana i roto i te rama.
E ai ki te ture tuatahi a Kirchhoff, he rite tonu te iahiko e puta ana i roto i ngā rama D me E nā te mea he hononga raupapa rāua, ko te iahiko ia e puta ana i roto i te ara iahiko whakarara ka wehea.
Ki te tangohia te rama B, ko ngā rama e mura ake ana ko ngā rama D me E, ā, he rite tonu te mura o ngā rama e rua.
Ko te whakautu tika ko E.
15. Tirohia te hoahoa ara iahiko hiko e whai ake nei!
Mena he 24 volts te rerekētanga pūmanawa o te pūtake ngaohiko, ko te iahiko i te pūwāhi peka I ko…
A. 1,2 A
B. 2,0 A
C. 2,4 A
D. 3,0 A
Kōrero
E mōhiotia ana:
Pūtake EMF (E) = 24 Volts
Ātete ā-roto (r) = 2 Ohm
Ngā ātete 40 Ohm, 20 Ohm me te 20 Ohm.
Pātai: Te kaha o nāianei i te pūwāhi peka I
Whakautu:
E honoa ana ngā ātete e toru i te taha whakarara, ko ngā ātete whakakapinga ko:
1/R = 1/40 + 1/20 + 1/20
1/R = 1/40 + 2/40 + 2/40
1/R = 5/40
R = 40/5
R = 8 Ōhm
Ngaohiko here:
V = E – I r
V = 24 – I 2
Te kaha o nāianei i te pūwāhi peka I:
V = IR
24 – I 2 = I 8
24 = 1 8 + 1 2
24 = I (10)
I = 24/10
I = 2,4 Āmpere
Ko te whakautu tika ko C.
Pūtake pātai:
Ngā Pātai Whakamātautau Pūtaiao ā-Motu mō te Kura Tuarua/Kura Tuarua Ihirama
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