28 Te hiko – ngā raruraru me ngā otinga
1. Tātaihia te iahiko o tētahi rama 10 Watt i hangaia mō te 12 Volts.
Mōhiotia:
Mana (P) = 10 Wāti
Ngaohiko (V) = 220 Ngaohiko
E hiahiatia ana: Te au hiko
Rongoā:
Mana rama = 10 Watts = 10 Joules/hēkona
E whakaatu ana te whārite i raro nei i te whanaungatanga i waenga i te mana hiko (P), te pūmanawa hiko (V) me te iahiko hiko (I) e whakahuatia ana i te tātai i raro nei:
P = VI
Te au hiko:
I = P / V = 10 / 220 = 1/22 = 0.045 Ampere
2. Tātaihia te mana hiko e ai ki te ara iahiko i raro nei.
Mōhiotia:
Ātete 1 (R 1 ) = 6 Ω
Ātete 2 (R 2 ) = 6 Ω
Ngaohiko hiko (V) = 24 Volts
E hiahiatia ana: Mana hiko
Rongoā:
Ātete ōrite:
Kei te honoa raupapa a R 1 me R 2. Ko te ātete ōrite:
R = R 1 + R 2 = 6 Ω + 6 Ω = 12 Ω
Te au hiko:
I = V/R = 24/12 = 2 Āpere
Mana hiko:
P = VI = (24)(2) = 48 Wāti = 48 Hīora/hēkona
3. Tātaihia te iahiko o tētahi 3 kiroWatt i hangaia mō te 150 Volts.
Mōhiotia:
Mana hiko (P) = 3 kiroWatt = 3000 Watt
Ngaohiko hiko (V) = 150 Volts
E hiahiatia ana: Te au hiko (I)
Rongoā:
Ko te whanaungatanga o te mana hiko (P), te pūmanawa hiko (V) me te iahiko hiko (I) kei roto i te tātai i raro nei:
P = VI
Te au hiko:
I = P / V
I = 3000 Watts / 150 Volts
I = 20 Āmpere
4. Tātaihia te mana mō tētahi ātete \(10\,\Omega\) me te iahiko \(5\,A\).
Otinga: \( P = I^2 R = 5^2 \whakareatia ki te 10 = 250\,W \)
5. Tāutuhia te mana mō tētahi ara iahiko me te ātete \(12\,V\) me \(4\,\Omega\).
Otinga: \( P = \frac{V^2}{R} = \frac{12^2}{4} = 36\,W \)
6. E mahi ana tētahi pūangi \(60\,W\) mō \(3\,h\). Tātaihia te pūngao e pau ana.
Otinga: \( E = Pt = 60 \times 3 = 180\,Wh = 0.18\,kWh \)
7. Tātaihia te iahiko mō tētahi taputapu \(200\,W\) i runga i tētahi pūhiko \(100\,V\).
Otinga: \( I = \frac{P}{V} = \frac{200}{100} = 2\,A \)
8. Kimihia te ātete o tētahi whakamahana e whakamahi ana i te \(1200\,W\) i te \(240\,V\).
Otinga: \( R = \frac{V^2}{P} = \frac{240^2}{1200} = 48\,\Omega \)
9. Kua honoa he pākahiko \(9\,V\) ki tētahi ātete \(3\,\Omega\). Kimihia te mana kua marara.
Otinga: \( P = \frac{V^2}{R} = \frac{9^2}{3} = 27\,W \)
10. Tātaihia te mana o tētahi ātete \(10\,\Omega\) me tētahi pūhiko \(100\,V\).
Otinga: \( P = \frac{V^2}{R} = \frac{100^2}{10} = 1000\,W \)
11. Tāutuhia te ngaohiko e hiahiatia ana hei whakamarara i te \(50\,W\) i roto i te ātete \(10\,\Omega\).
Otinga: \( V = \sqrt{PR} = \sqrt{50 \times 10} = 22.36\,V \)
12. Ka whakamahia e te motuka te \(1500\,W\) ā, ka oma mō te \(4\,h\). Kimihia te pūngao e pau ana.
Otinga: \( E = Pt = 1500 \times 4 = 6000\,Wh = 6\,kWh \)
13. Kimihia te iahiko o tētahi pūnaha hiko \(240\,V\) mēnā ko te mana he \(1200\,W\).
Otinga: \( I = \frac{P}{V} = \frac{1200}{240} = 5\,A \)
14. Tātaihia te ātete mō tētahi pūangi \(100\,W\) e mahi ana i te \(200\,V\).
Otinga: \( R = \frac{V^2}{P} = \frac{200^2}{100} = 400\,\Omega \)
15. Tāutuhia te mana i roto i tētahi ara iahiko \(3\,A\) me tētahi ātete \(15\,\Omega\).
Otinga: \( P = I^2 R = 3^2 \whakareatia ki te 15 = 135\,W \)
16. Tātaihia te ngaohiko e hiahiatia ana hei whakamarara i te \(100\,W\) i roto i te ātete \(20\,\Omega\).
Otinga: \( V = \sqrt{PR} = \sqrt{100 \times 20} = 44.72\,V \)
17. Kimihia te pūngao e pau ana i te hau pā \(300\,W\) e rere ana mō te \(2\,h\).
Otinga: \( E = Pt = 300 \times 2 = 600\,Wh = 0.6\,kWh \)
18. Tātaihia te iahiko i roto i tētahi ara iahiko me te mana \(1000\,W\) me te ngaohiko \(250\,V\).
Otinga: \( I = \frac{P}{V} = \frac{1000}{250} = 4\,A \)
19. Tāutuhia te ātete o tētahi tōstare \(400\,W\) e mahi ana i te \(100\,V\).
Otinga: \( R = \frac{V^2}{P} = \frac{100^2}{400} = 25\,\Omega \)
20. Kimihia te mana mō te ngaohiko \(20\,V\) puta noa i te ātete \(5\,\Omega\).
Otinga: \( P = \frac{V^2}{R} = \frac{20^2}{5} = 80\,W \)
21. Tātaihia te ngaohiko e hiahiatia ana hei whakarato i te \(200\,W\) ki tētahi ātete \(25\,\Omega\).
Otinga: \( V = \sqrt{PR} = \sqrt{200 \times 25} = 50\,V \)
22. Tātaihia te pūngao e pau ana i tētahi mīhini \(500\,W\) e rere ana mō te \(5\,h\).
Otinga: \( E = Pt = 500 \times 5 = 2500\,Wh = 2.5\,kWh \)
23. Kimihia te iahiko mō tētahi pūangi \(60\,W\) e mahi ana i te \(120\,V\).
Otinga: \( I = \frac{P}{V} = \frac{60}{120} = 0.5\,A \)
24. Tātaihia te ātete mō te rama \(40\,W\) e rere ana i te \(20\,V\).
Otinga: \( R = \frac{V^2}{P} = \frac{20^2}{40} = 10\,\Omega \)
25. Tāutuhia te mana i roto i tētahi ara iahiko \(5\,A\) me tētahi ātete \(12\,\Omega\).
Otinga: \( P = I^2 R = 5^2 \whakareatia ki te 12 = 300\,W \)
26. Tātaihia te ngaohiko e hiahiatia ana hei tuku i te \(150\,W\) ki te ātete \(15\,\Omega\).
Otinga: \( V = \sqrt{PR} = \sqrt{150 \times 15} = 61.24\,V \)
27. Kimihia te pūngao e pau ana i te hauhautanga \(800\,W\) e rere ana mō te \(3\,h\).
Otinga: \( E = Pt = 800 \times 3 = 2400\,Wh = 2.4\,kWh \)
28. Tātaihia te iahiko i roto i tētahi ara iahiko me te mana \(500\,W\) me te ngaohiko \(125\,V\).
Otinga: \( I = \frac{P}{V} = \frac{500}{125} = 4\,A \)
