25 Matla a motlakase - mathata le ditharollo
1. Lebone la motlakase la 220 V – 5 le sebediswa metsotso e 30. Le hloka matla a makae?
Tharollo:
Motlakase (V) = 220 Volt
Motlakase oa motlakase (I) = 5 Ampere
Nako (t) = metsotso e 30 = metsotsoana e 30 x 60 = metsotsoana e 1800
Matla a motlakase (P):
P = VI = (220 Volt)(5 Ampere) = 1100 Volt Ampere = 1100 Watt = 1100 Joule/motsotsoana
Matla a motlakase = Matla a motlakase x nako = (1100 Joule/motsotswana) (metsotswana e 1800)
Matla a motlakase = 1,980,000 Joule = 1,980 kiloJoule
2. Tšepe e sotheloang ea 220 V – 60 W e sebelisoa metsotso e 4. E hloka matla a makae.
Tse tsejoang:
Matla (P) = 60 Watts = 60 Joules/motsotsoana
Motlakase (V) = 220 Volt
Nako (t) = metsotso e 4 = metsotsoana e 4 x 60 = metsotsoana e 240
Ho batloa: Matla a motlakase
Tharollo:
220 Volt – 60 Watt e bolela hore solder ea motlakase e sebetsa hantle haeba phapang e ka bang teng kapa motlakase e le 220 volts 'me e na le matla a 60 Watt = 60 Joules/motsotsoana, ho bolelang hore solder ea motlakase e sebelisa matla a 60 Joules ka motsotsoana.
Matla a motlakase = matla a motlakase x nako e sa fellang = (Lijoule tse 60/motsotswana)(metsotsoana e 240) = Lijoule tse 14,400.
3. Matla a sebediswang ke tshepe motsotso o le mong ke 33 kJ, ka motlakase wa di-volts tse 220. Hore na motlakase o moholo hakae tshepeng.
Tse tsejoang:
Nako e sa fellang (t) = motsotso o le 1 = metsotsoana e 60
Matla (W) = 33 kiloJoules = 33,000 Joules
Motlakase (V) = 220 Volt
Ho batloa: Motlakase (I)
Tharollo:
Matla a motlakase ke matla a motlakase a sebelisoang nakong e itseng.
P = W / t = 33,000 Joules / metsotsoana e 60
P = 550 Watt
Motlakase oa motlakase:
I = P / V = 550 / 220 = 2.5 Ampere
4. Motho e mong o shebella TV ka karolelano ea lihora tse 6 ka letsatsi. TV e hokahantsoe le motlakase oa 220 Volt e le hore motlakase o phallang ka har'a TV e be 0.5 Amperes. Haeba k'hamphani ea motlakase e lefisa $0.092 ka kWh, joale litšenyehelo tsa ho sebelisa matla a motlakase bakeng sa TV khoeli e le 'ngoe (matsatsi a 30) ke…
Tse tsejoang:
Nako e sa fellang = lihora tse 6 x 30 = lihora tse 180
Motlakase (V) = 220 Volt
Motlakase oa motlakase (I) = 0.5 Ampere
Ho batloa: Litšenyehelo ka khoeli
Tharollo:
Matla a TV:
P = VI = (220 Volt)(0.5 Ampere) = 110 Volt Ampere = 110 Watt
Matla a motlakase = matla a motlakase x nako e sa fellang
Matla a motlakase a TV = 110 Watt x 180 dihora = 19800 dihora tsa Watt = 19.8 kilo Watt dihora = 19.8 kilo Watt dihora = 19.8 kWh
Litšenyehelo tsa ho sebelisa matla a motlakase bakeng sa TV khoeli e le 'ngoe:
19.8 kWh x $0.092/kWh = $1.8216
5. Ka tlung ho na le mabone a 4 a 20 Watt, mabone a 2 a 10 Watt, mabone a 3 a 40 Watt, a sebediswa dihora tse 5 letsatsi le letsatsi. Haeba tefiso ya khamphani ya motlakase e le 0.092 ka kWh, jwale ditjeo tsa ho sebedisa matla a motlakase kgwedi e le 1 (matsatsi a 30) ke ….
Tse tsejoang:
Mabone a 4 20 Watts = 4 x 20 Watts = 80 Watts
Mabone a 2 10 Watts = 2 x 10 Watts = 20 Watts
Mabone a 3 40 Watts = 3 x 40 Watts = 120 Watts
Matla ohle (W) = 80 Watts + 20 Watts + 120 Watts = 220 Watts
Nako e sa fellang (t) = lihora tse 5 x 30 = lihora tse 150
Ho batloa: Litšenyehelo tsa ho sebelisa matla a motlakase khoeli e le 'ngoe (matsatsi a 30)
Tharollo:
Matla a motlakase = motlakase x nako e sa fellang = 220 Watt x lihora tse 150 = 33,000 Watt hora = 33 kilo Watt hora = 33 kilo Watt hora = 33 kWh
Litšenyehelo tsa ho sebelisa matla a motlakase khoeli e le 'ngoe (matsatsi a 30)
(33 kWh)(0.092/kWh) = $3.036
6. Potoloho e na le khanyetso ea \(5\Omega\) le motlakase oa \(2A\). Fumana motlakase.
Tharollo: \( P = IV = 2A \times 5\Omega = 10W \)
7. Betri ea \(10V\) e hokahantsoe le resistor ea \(2\Omega\). Bala motlakase.
Tharollo: \( I = \frac{V}{R} = \frac{10V}{2\Omega} = 5A \)
8. Lebone le lekantsoeng ho \(60W\) le sebetsa ka phepelo ea \(120V\). Fumana khanyetso.
Tharollo: \( R = \frac{V^2}{P} = \frac{120^2}{60} = 240\Omega \)
9. Bala matla a sebelisoang ke tleloubu ea \(100W\) ka lihora tse \(2\).
Tharollo: \( E = Pt = 100W \makhetlo a 2h = 200Wh = 0.2kWh \)
10. Capacitor ea \(20\mu F\) e tjhajwa ho \(50V\). Fumana matla a bolokiloeng.
Tharollo: \( E = \frac{1}{2} CV^2 = \frac{1}{2} \times 20 \times 10^{-6}F \times 50^2 = 25mJ \)
11. Fumana hona joale ka har'a inductor ea \(10mH\) ha sekhahla sa phetoho ea hona joale e le \(5A/s\).
Tharollo: \( V = L\frac{di}{dt} = 10 \times 10^{-3}H \times 5A/s = 50mV \)
12. Fumana tahlehelo ea motlakase moleng oa phetiso o nang le khanyetso ea \(8\Omega\) le phallo ea \(3A\).
Tharollo: \( P = I^2R = 3^2 \ka makhetlo a 8\Omega = 72W \)
13. Transformer e na le motlakase oa mantlha oa \(120V\) le motlakase oa bobeli oa \(240V\). Haeba motlakase oa mantlha e le \(2A\), fumana motlakase oa bobeli.
Tharollo: Hona jwale ya bobedi = \( \frac{{\text{{Voltage e ka sehloohong}}}}{{\text{{Voltage e ka sehloohong}}} \times \text{{Hona jwale e ka sehloohong}} = \frac{{120V}}{{240V}} \times 2A = 1A \)
14. Bala karabelo ea inductor ea \(50Hz\), \(0.2H\).
Tharollo: \(
15. Fumana kakaretso ea capacitance ea li-capacitor tse tharo tse hokahaneng ka letoto.
Tharollo: \( \frac{1}{{C_{\text{{total}}}} = \frac{1}{{C_1}} + \frac{1}{{C_2}} + \frac{1}{{C_3}} = \frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}, C_{\text{{total}}} = \frac{10}{3} \mu F \approx 3.33\mu F \)
16. Supercapacitor ea \(0.1F\) e tjhajwa ho \(5V\). Fumana matla a bolokiloeng.
Tharollo: \( E = \frac{1}{2} CV^2 = \frac{1}{2} \times 0.1 \times 5^2 = 1.25J \)
17. Bala matla a potoloho a nang le matla a 'nete a \(60W\) le matla a bonahalang a \(75VA\).
Tharollo: Matla a Matla = \( \frac{{\text{{Real Power}}}}{{\text{{Apparent Power}}}} = \frac{{60W}}{{75VA}} \hoo e ka bang 0.8 \)
18. Fumana khanyetso e lekanang ea li-resistor tse peli tsa \(4\Omega\) ka nako e le 'ngoe.
Tharollo: \( \frac{1}{{R_{\text{{eq}}}} = \frac{1}{{R_1}} + \frac{1}{{R_2}} = \frac{1}{4} + \frac{1}{4} = \frac{1}{2}, R_{\text{{eq}}} = 2\Omega \)
19. Fumana impedance ea potoloho e nang le khanyetso ea \(5\Omega\) le karabelo ea \(12\Omega\).
Tharollo: \( Z = \sqrt{R^2 + X^2} = \sqrt{5^2 + 12^2} \hoo e ka bang 13.34\Omega \)
15. Bala boleng ba RMS ba motlakase oa sinusoidal ka boleng ba tlhōrō ba \(120V\).
Tharollo: \( V_{\text{{RMS}}} = \frac{{V_{\text{{peak}}}}{\sqrt{2}} \approx 84.85V \)
16. Fumana matla a qhalakantsoeng ka har'a resistor ea \(5\Omega\) e nang le phallo ea \(4A\).
Tharollo: \( P = I^2R = 4^2 \ka makhetlo a 5\Omega = 80W \)
17. Bala maqhubu a inductor ea \(25mH\) e nang le karabelo ea \(50\Omega\).
Tharollo: \( f = \frac{{X_L}}{{2\pi L}} = \frac{50}{{2\pi \times 25 \times 10^{-3}}} \hoo e ka bang 31.83Hz \)
18. Fumana motlakase ka har'a resistor ea \(20\Omega\) e nang le phepelo ea \(100V\).
Tharollo: \( I = \frac{V}{R} = \frac{100V}{20\Omega} = 5A \)
19. Fumana kakaretso ea inductance ea li-inductor tse peli tse hokahaneng ka nako e le 'ngoe.
Tharollo: \( \frac{1}{{L_{\text{{total}}}} = \frac{1}{{L_1}} + \frac{1}{{L_2}} = \frac{1}{10} + \frac{1}{10} = \frac{1}{5}, L_{\text{{total}}} = 5mH \)
20. Bala matla a sebelisoang ke tšepe ea \(1500W\) e sebelisitsoeng lihora tse \(0.5\).
Tharollo: \( E = Pt = 1500W \makhetlo a 0.5h = 750Wh = 0.75kWh \)
