Ihe atụ nke Nsogbu Na-ekwu Maka Nzaghachi Gburugburu
Resonance bụ ihe na-eme ka sistemụ na-agbagharị na oke olu na ugboro ole a kapịrị ọnụ. N'ihe gbasara sekit eletriki, resonance na-eme mgbe impedance sekit ruru uru kacha nta ma ọ bụ kachasị, na-eme ka ugbu a ma ọ bụ voltaji dị na sekit ahụ ruo n'ọkwa kachasị elu. Ihe a dị oke mkpa na nhazi na nyocha nke sekit eletriki, ọkachasị na ngwa dịka redio, nzacha, na oscillators.
Ụkpụrụ Ndị Dị Mkpa nke Ịdagharị na Sekit Eletriki
A na-ekwukarị gbasara resonance na sekit eletriki n'ihe gbasara sekit RLC, nke nwere resistor (R), inductor (L), na capacitor (C). E nwere ụdị resonance abụọ a na-ekwukarị:
1. Usoro Resonance: Ọ na-eme mgbe e jikọtara inductor na capacitor n'usoro na resistor. Resonance na-eme mgbe inductive reactance (XL) hà nhata capacitive reactance (XC).
2. Ndagharị Parallel: Ọ na-eme mgbe e jikọtara inductor na capacitor n'otu oge. Ndagharị na-eme mgbe mgbochi sekit n'otu oge ruru uru kachasị elu ya.
Ugboro resonant (\( f_0 \)) maka ụdị sekit abụọ ahụ bụ otu ihe ma enyere ya site na:
\[ f_0 = \frac{1}{2\pi\sqrt{LC}} \]
Ajụjụ na Mkparịta ụka gbasara Resonance nke RLC Series Circuits
Ajụjụ nke Mbụ:
E nyere usoro sekit RLC nke nwere resistor (R) nke 10 ohms, inductor (L) nke 10 mH, na capacitor (C) nke 1 μF. Chọpụta:
1. Ugboro ụda olu nke sekit ahụ.
2. Mgbochi sekit na ugboro resonant.
3. Ọkụ na-agba n'ime sekit ahụ ma ọ bụrụ na voltaji isi mmalite bụ 10 V rms na ugboro resonant.
Azịza:
1. Ugboro ụda olu nke sekit ahụ:
A na-enye ugboro resonant (\( f_0 \)) na usoro RLC site na:
\[ f_0 = \frac{1}{2\pi\sqrt{LC}} \]
Ebe:
– L = 10 mH = 10 x 10⁻³ H
– C = 1 μF = 1 x 10⁻⁶ F
Ya mere:
\[ f_0 = \frac{1}{2\pi\sqrt{(10 \ugboro 10^{-3})(1 \ugboro 10^{-6})}} \]
\[ f_0 = \frac{1}{2\pi\sqrt{10 \ugboro 10^{-9}}} \]
\[ f_0 = \frac{1}{2\pi\sqrt{10^{-8}}} \]
\[ f_0 = \frac{1}{2\pi \ugboro 10^{-4}} \]
\[ f_0 = \frac{10^4}{2\pi} \]
\[ f_0 ≈ 1591.55 \ederede{ Hz} \]
2. Mgbochi sekit na ugboro resonant:
Na ugboro resonant, inductive reactance (XL) hà nhata na capacitive reactance (XC), nke mere na:
\[ X_L = X_C \]
\[ 2\pi f_0 L = \frac{1}{2\pi f_0 C} \]
Ebe ọ bụ na mmeghachi omume inductive na capacitive na-akwụsị ibe ha, impedance sekit bụ naanị resistor (R):
\[ Z = R = 10 \ederede{ ohm} \]
3. Ọkụ na-asọ n'ime sekit ahụ:
Enwere ike ịgbakọ ugbu a (\( I \)) dị na sekit ahụ site na iji iwu Ohm:
\[ I = \frac{V}{Z} \]
Ebe:
– V = 10 V rms
– Z = 10 ohms (na ugboro resonant)
Ya mere:
\[ I = \frac{10}{10} \]
\[ I = 1 \ederede{ A} \]
Ya mere, ọkụ eletrik na-asọfe na sekit ahụ bụ 1 A.
Ajụjụ na Mkparịta ụka Ihe Nlereanya nke Resonance nke Parallel RLC Circuits
Ajụjụ nke Mbụ:
E nyere sekit RLC yiri nke nwere resistor (R) nke 10 ohms, inductor (L) nke 5 mH, na capacitor (C) nke 2 μF. Chọpụta:
1. Ugboro ụda olu nke sekit ahụ.
2. Mgbochi sekit na ugboro resonant.
3. Voltaji isi mmalite ma ọ bụrụ na mkpokọta ọkụ eletrik na-asọ na sekit ahụ bụ 2 A na ugboro resonant.
Azịza:
1. Ugboro ụda olu nke sekit ahụ:
A na-enyekwa ugboro resonant (\( f_0 \)) na sekit RLC yiri nke a site na:
\[ f_0 = \frac{1}{2\pi\sqrt{LC}} \]
Ebe:
– L = 5 mH = 5 x 10⁻³ H
– C = 2 μF = 2 x 10⁻⁶ F
Ya mere:
\[ f_0 = \frac{1}{2\pi\sqrt{(5 \ugboro 10^{-3})(2 \ugboro 10^{-6})}} \]
\[ f_0 = \frac{1}{2\pi\sqrt{10 \ugboro 10^{-9}}} \]
\[ f_0 = \frac{1}{2\pi\sqrt{10^{-8}}} \]
\[ f_0 = \frac{1}{2\pi \ugboro 10^{-4}} \]
\[ f_0 = \frac{10^4}{2\pi} \]
\[ f_0 ≈ 1591.55 \ederede{ Hz} \]
2. Mgbochi sekit na ugboro resonant:
N'oge resonant ugboro, ngụkọta nnabata (Y) nke inductor na capacitor bụ efu. Ya mere, impedance (Z) nke resonant RLC sekit dabere naanị na resistor (R). Ya mere, na resonant ugboro, impedance nke resonant RLC sekit hà nhata na resistor.
Ya mere:
\[ R = 10 \ederede{ ohm} \]
3. Voltaji isi mmalite:
Mkpokọta ọkụ eletrik (\( I \)) na-asọba na sekit ahụ bụ 2 A. Ihe iwu Ohm pụtara bụ na voltaji isi mmalite (V) bụ site na:
\[V = I \ugboro Z \]
Ebe:
– I = 2 A
– Z = 10 ohms
Ya mere:
\[ V = ugboro 2 10 ]
\[ V = 20 \ederede{ V} \]
N'okwu a, voltaji isi mmalite bụ 20 V.
Mmechi
Resonance na sekit eletriki bụ ihe dị mkpa enwere ike iji mee ihe maka ọtụtụ ngwa injinia eletriki na eletrọniki. Ịghọta otu esi agbakọ ugboro resonant na mmetụta ya na ugbu a na voltaji dị mkpa maka imewe na nyocha sekit. Isiokwu a na-egosi echiche ndị bụ isi nke resonance na sekit RLC ma na-atụle nsogbu ndị metụtara ya iji nye nkọwa doro anya nke isiokwu a.
