Piv txwv ntawm Cov Lus Nug Sib Tham Txog Cov Txheej Txheem Hluav Taws Xob
Cov txheej txheem hluav taws xob ua lub luag haujlwm tseem ceeb hauv ntau yam haujlwm ntawm lub neej niaj hnub no, txij li kev sib txuas lus thiab kev lag luam mus rau kev kho mob. Kev nkag siab zoo txog cov ntsiab lus yooj yim thiab kev siv ntawm cov txheej txheem hluav taws xob yog qhov tseem ceeb rau cov tub ntxhais kawm thiab cov kws kho mob uas tab tom nrhiav kev txhim kho kev txawj ntse hauv daim teb no. Tsab xov xwm no yuav nthuav tawm ntau qhov piv txwv ntawm cov teeb meem thiab kev sib tham txog cov txheej txheem hluav taws xob, uas peb vam tias yuav muab kev nkag siab thiab pab txhawb rau txoj kev kawm.
1. Piv txwv teeb meem: RC Low-Pass Filter Circuit
Lo lus nug:
Koj tau txais ib lub voj voog lim dej RC qis-pass, qhov twg qhov tsis kam (R) yog 1kΩ thiab lub peev xwm (C) yog 100nF. Xam qhov zaus txiav ntawm lub lim.
Kev Sib Tham:
Qhov zaus txiav tawm (f_c) ntawm RC low-pass filter tuaj yeem suav los ntawm kev siv cov mis:
\[ f_c = \frac{1}{2 \pi RRC} \]
Los ntawm kev hloov tus nqi capacitance los ntawm nanoFarad mus rau Farad:
\[ C = 100nF = 100 \times 10^{-9} F \]
Tam sim no, peb hloov cov nqi ntawm R thiab C rau hauv cov mis:
\[ f_c = \frac{1}{2 \pi (1 \times 10^3)(100 \times 10^{-9})} \]
\[ f_c = \frac{1}{2 \pi \times 10^{-4}} \]
\[ f_c \approx \frac{1}{6.28 \times 10^{-4}} \]
\[ f_c \kwv yees li 1591.55 Hz \]
Yog li, qhov zaus txiav tawm ntawm cov lim no yog li 1591.55 Hz.
2. Piv txwv lus nug: Kev nce hauv Cov Amplifiers Ua Haujlwm (Op-Amp)
Lo lus nug:
Thaum siv lub amplifier ua haujlwm uas tsis tig rov qab nrog cov nqi ntawm R1 = 1kΩ thiab R2 = 10kΩ, xam qhov nce ntawm lub voj voog.
Kev Sib Tham:
Qhov nce rau lub amplifier ua haujlwm uas tsis yog inverting yog xam los ntawm cov mis:
\[ Qhov nce (A) = 1 + \frac{R2}{R1} \]
Nrog rau cov nqi muab ntawm R1 thiab R2:
\[ A = 1 + \frac{10k\Omega}{1k\Omega} \]
\[ A = 1 + 10 \]
\[ A = 11 \]
Los ntawm cov txiaj ntsig saum toj no, qhov nce ntawm lub amplifier ua haujlwm tsis-inverting no yog 11 zaug.
3. Piv txwv li cov lus nug: Digital System nrog Signal Lottery
Lo lus nug:
Ib lub teeb liab digital tsib ceg tsim cov qauv binary code 01101. Xam tus nqi decimal sib xws ntawm cov qauv binary code.
Kev Sib Tham:
Yuav hloov cov lej binary mus ua lej decimal, peb siv tau txoj kev sib npaug los ntawm lub zog ntawm ob txoj kev. Txhua tus lej binary raug sib npaug los ntawm 2, tsa mus rau lub zog sib xws rau nws qhov chaw ntawm sab xis mus rau sab laug, pib ntawm lub zog ntawm 0.
Tus qauv binary 01101 tuaj yeem suav ua:
\[ 0 \times 2^4 + 1 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 \]
Los ua:
\[ 0 \times 16 + 1 \times 8 + 1 \times 4 + 0 \times 2 + 1 \times 1 \]
\[ = 0 + 8 + 4 + 0 + 1 \]
\[ = 13 \]
Yog li, tus nqi decimal ntawm tus qauv binary 01101 yog 13.
4. Piv txwv li cov lus nug: Lub voj voog Rectifier puv nthwv dej
Lo lus nug:
Siv lub tshuab hloov pauv step-down uas txo qhov voltage ntawm 240V AC mus rau 24V AC, txuas nrog lub rectifier full-wave, xam qhov DC voltage uas tau los yog tias lub diode zoo tagnrho (tsis muaj qhov voltage poob).
Kev Sib Tham:
Ib lub rectifier puv nthwv dej hloov AC tam sim no mus rau DC los ntawm kev kho tag nrho lub voj voog AC. Lub zog DC tsim los ntawm lub rectifier puv nthwv dej tuaj yeem txiav txim siab los ntawm kev xam qhov nruab nrab ntawm lub zog ntawm lub rectified waveform.
Rau qhov zoo tagnrho diode thiab RMS voltage ntawm qhov nkag (output transformer), qhov tso zis DC voltage ntawm biased full-wave rectifier yog:
\[ V_{DC} \approx \frac{2V_{RMS}}{\pi} \]
Ntawm no, RMS voltage yog 24V.
\[ V_{DC} \approx \frac{2 \times 24}{3.14} \]
\[ V_{DC} \approx \frac{48}{3.14} \]
\[ V_{DC} \kwv yees li 15.29V \]
Yog li, qhov DC voltage uas tshwm sim yog li 15.29V.
5. Piv txwv li cov lus nug: Kev sib xyaw ua ke ntawm LC Resonance Circuit
Lo lus nug:
Txheeb xyuas qhov zaus resonant \(f_r \) ntawm LC resonant circuit uas muaj ib qho inductor L = 10mH thiab ib qho capacitor C = 10µF.
Kev Sib Tham:
Lub zaus resonant (\( f_r \)) ntawm lub voj voog LC sib luag yog xam los ntawm cov mis:
\[ f_r = \frac{1}{2 \pi \sqrt{LC}} \]
Los ntawm kev hloov cov nqi ntawm L thiab C rau Henry thiab Farad units:
\[ L = 10 mH = 10 \times 10^{-3} H \]
\[ C = 10µF = 10 \times 10^{-6}F \]
Hloov L thiab C rau hauv cov mis:
\[ f_r = \frac{1}{2 \pi \sqrt{(10 \times 10^{-3})(10 \times 10^{-6})}} \]
\[ f_r = \frac{1}{2 \pi \sqrt{10 \times 10^{-9}}} \]
\[ f_r = \frac{1}{2 \pi \sqrt{10^{-8}}} \]
\[ f_r = \frac{1}{2 \pi \times 10^{-4}} \]
\[ f_r = \frac{10^4}{2 \pi} \]
\[ f_r \approx \frac{10^4}{6.28} \]
\[ f_r \kwv yees li 1591.55 Hz \]
Yog li, qhov zaus resonant ntawm LC Circuit no yog li 1591.55 Hz.
Xaus
Los ntawm kev sib tham txog cov teeb meem piv txwv saum toj no, peb tau pom tias kev siv cov ntsiab cai yooj yim ntawm hluav taws xob tuaj yeem pab peb nkag siab thiab daws cov teeb meem uas ntsib hauv daim teb. Kev nkag siab txog cov ntsiab lus thiab kev xyaum ua tas mus li yog qhov tseem ceeb rau kev paub txog cov txheej txheem hluav taws xob. Vam tias tsab xov xwm no yuav pab cov neeg nyeem nkag siab zoo dua txog kev xam cov khoom thiab cov yam ntxwv yooj yim ntawm cov txheej txheem hluav taws xob, yog li ua rau lawv siv tau rau hauv lawv txoj kev kawm thiab chaw ua haujlwm.