Mohlala oa Bothata ba ho Buisana ka Resonance ea Potoloho
Ho kgutlela morao ke ketsahalo eo ho yona sistimi e sisinyehang ka boholo bo hodimo ka maqhubu a itseng. Moelelong wa dipotoloho tsa motlakase, ho kgutlela morao ho etsahala ha phetiso ya potoloho e fihla bonyane kapa boleng bo hodimo, e leng se etsang hore hajwale kapa motlakase potolohong o fihle sehlohlolong. Ketsahalo ena e bohlokwa haholo moralong le tlhahlobong ya dipotoloho tsa motlakase, haholoholo ditshebedisong tse kang diradio, difilthara le di-oscillator.
Melao-motheo ea Motheo ea Resonance Lipotolohong tsa Motlakase
Ho resonance lipotolohong tsa motlakase hangata ho tšohloa moelelong oa potoloho ea RLC, e nang le resistor (R), inductor (L), le capacitor (C). Ho na le mefuta e 'meli ea ho resonance e atisang ho tšohloa:
1. Ho Resonance ea Letoto: Ho etsahala ha inductor le capacitor li hokahantsoe ka letoto le resistor. Ho Resonance ho etsahala ha reactance ea inductive (XL) e lekana le reactance ea capacitive (XC).
2. Ho Resonance e Tšoanang: E etsahala ha inductor le capacitor li hokahane ka ho lekana. Ho Resonance e etsahala ha impedance ea potoloho ka maqhubu a itseng e fihla boleng ba eona bo phahameng.
Maqhubu a resonant (\( f_0 \)) bakeng sa mefuta ka bobedi ya dipotoloho a tshwana mme a fanwa ke:
\[ f_0 = \frac{1}{2\pi\sqrt{LC}} \]
Mehlala ea Lipotso le Puisano ea Resonance ea Li-RLC Series Circuits
Potso ea 1:
Ha ho fanoe ka potoloho ea RLC e latellanang e nang le resistor (R) ea 10 ohms, inductor (L) ea 10 mH, le capacitor (C) ea 1 μF. Fumana:
1. Maqhubu a potoloho a resonant.
2. Phetoho ea potoloho ka maqhubu a molumo.
3. Motlakase o phallang potolohong haeba motlakase oa mohloli e le 10 V rms ka maqhubu a resonant.
Puisano:
1. Maqhubu a potoloho a resonant:
Leqhubu la resonant (\( f_0 \)) letotong la potoloho ya RLC le fanwa ke:
\[ f_0 = \frac{1}{2\pi\sqrt{LC}} \]
Moo:
– L = 10 mH = 10 x 10⁻³ H
– C = 1 μF = 1 x 10⁻⁶ F
Kahoo:
\[ f_0 = \frac{1}{2\pi\sqrt{(10 \makgetlo a 10^{-3})(1 \makgetlo a 10^{-6})}} \]
\[ f_0 = \frac{1}{2\pi\sqrt{10 \makgetlo a 10^{-9}}} \]
\[ f_0 = \frac{1}{2\pi\sqrt{10^{-8}}} \]
\[ f_0 = \frac{1}{2\pi \times 10^{-4}} \]
\[ f_0 = \frac{10^4}{2\pi} \]
\[ f_0 ≈ 1591.55 \mongolo{ Hz} \]
2. Phetoho ea potoloho ka maqhubu a molumo:
Ka maqhubu a resonant, inductive reactance (XL) e lekana le capacitive reactance (XC), e leng se etsang hore:
\[ X_L = X_C \]
\[ 2\pi f_0 L = \frac{1}{2\pi f_0 C} \]
Kaha karabelo ea inductive le capacitive lia hlakolana, impedance ea potoloho ke resistor (R) feela:
\[ Z = R = 10 \mongolo{ ohm} \]
3. Motlakase o phallang potolohong:
Hona jwale (\( I \)) potolohong e ka balwa ho sebediswa molao wa Ohm:
\[ Ke = \frac{V}{Z} \]
Di mana:
– V = 10 V rms
– Z = 10 ohms (ka maqhubu a resonant)
Kahoo:
\[ Ke = \frac{10}{10} \]
\[ Ke = 1 \mongolo{ A} \]
Kahoo, phallo ea motlakase potolohong ke 1 A.
Mehlala ea Lipotso le Puisano ea Resonance ea Lipotoloho tsa RLC tse Tšoanang
Potso ea 2:
Ha ho fanoe ka potoloho ea RLC e bapileng e nang le resistor (R) ea 10 ohms, inductor (L) ea 5 mH, le capacitor (C) ea 2 μF. Fumana:
1. Maqhubu a potoloho a resonant.
2. Phetoho ea potoloho ka maqhubu a molumo.
3. Motlakase oa mohloli haeba kakaretso ea hona joale e phallang potolohong e le 2 A ka maqhubu a resonant.
Puisano:
1. Maqhubu a potoloho a resonant:
Leqhubu la resonant (\( f_0 \)) potolohong e bapileng ya RLC le lona le fanwa ke:
\[ f_0 = \frac{1}{2\pi\sqrt{LC}} \]
Moo:
– L = 5 mH = 5 x 10⁻³ H
– C = 2 μF = 2 x 10⁻⁶ F
Kahoo:
\[ f_0 = \frac{1}{2\pi\sqrt{(5 \makgetlo a 10^{-3})(2 \makgetlo a 10^{-6})}} \]
\[ f_0 = \frac{1}{2\pi\sqrt{10 \makgetlo a 10^{-9}}} \]
\[ f_0 = \frac{1}{2\pi\sqrt{10^{-8}}} \]
\[ f_0 = \frac{1}{2\pi \times 10^{-4}} \]
\[ f_0 = \frac{10^4}{2\pi} \]
\[ f_0 ≈ 1591.55 \mongolo{ Hz} \]
2. Phetoho ea potoloho ka maqhubu a molumo:
Ka maqhubu a resonant, kamohelo e felletseng (Y) ea inductor le capacitor ke lefela. Ka hona, impedance (Z) ea potoloho ea RLC e bapileng e itšetlehile feela ka resistor (R). Kahoo, ka maqhubu a resonant, impedance ea potoloho ea RLC e bapileng e lekana le resistor.
Kahoo:
\[ R = 10 \mongolo{ ohm} \]
3. Motlakase oa mohloli:
Kakaretso ea hona joale (\( I \)) e phallang potolohong ke 2 A. Se boleloang ke molao oa Ohm ke hore motlakase oa mohloli (V) o fanoa ke:
\[ V = I \makgetlo a Z \]
Di mana:
– Ke = 2 A
– Z = 10 ohms
Kahoo:
\[ V = 2 \makgetlo a 10 \]
\[ V = 20 \mongolo{ V} \]
Kahoo, motlakase oa mohloli ke 20 V.
Qetello
Ho kgutlelana ha molumo dipotolohong tsa motlakase ke ketsahalo ya bohlokwa e ka sebediswang bakeng sa mefuta e fapaneng ya ditshebediso tsa boenjiniere ba motlakase le ba elektroniki. Ho utlwisisa mokhoa wa ho bala maqhubu a ho kgutlelana ha molumo le ditlamorao tsa wona hodima motlakase le motlakase ke ntho ya bohlokwa ho moralo le tlhahlobo ya potoloho. Sengolwa sena se hlahisa mehopolo ya motheo ya ho kgutlelana ha molumo dipotolohong tsa RLC mme se buisana ka mathata a amanang le ona ho fana ka kakaretso e hlakileng ya sehlooho sena.
