Electrical Engineering Notes PDF

## Subject: ### 1403/8/26 - Electrical Engineering Notes - **or (t) = Vmcos (wt + ( )** - This equation represents a voltage waveform, where - Vm is the peak voltage. - w is the angular frequency. - t is time. - ( is the phase shift. - **v(t) = Vm Sin (wt + shift phase)** - Thi...

## Subject: ### 1403/8/26 - Electrical Engineering Notes - **or (t) = Vmcos (wt + ( )** - This equation represents a voltage waveform, where - Vm is the peak voltage. - w is the angular frequency. - t is time. - ( is the phase shift. - **v(t) = Vm Sin (wt + shift phase)** - This equation also represents a voltage waveform but using sine function. - **اندازه پیک ولتاژ = Vm** - This describes the peak voltage (amplitude) of the waveform. - **فرکانس = 100/ (π/50) = 50Hz ** - This equation defines the frequency of the waveform. - **50 در یک ثانیه 50 بار سیکل تکرار می شود** - This explains how the waveform oscillates 50 times per second. - **Vm = سه زاویه فرکانسی** - Peak voltage is related to the angular frequency. - **Vm Sin (wt + )** - This represents a voltage waveform using a sinusoidal function with certain phase shift ( ). - **T = 2*pi/w = 1/f = 0.02** - This calculates the period of the waveform, which is the time for one complete cycle. - **sin (wt + 90) = cos ut** - This is a trigonometric identity related to phase shift in sinusoidal waveforms. - **cos (wt + 90) = - sin ut** - This is another trigonometric identity related to phase shift in sinusoidal waveforms. - **Sin (wt + 180°) = - sin ut** - This is another trigonometric identity related to phase shift in sinusoidal waveforms. - **C.S (wt + 180°) = - cos ut** - This is another trigonometric identity related to phase shift in sinusoidal waveforms. - **Sin (A+B) = SinAcosB + COSA Sing** - This is a trigonometric identity for the sum of two angles. - **CS (A+B) = OSAC.SBT SinA sing** - This is a trigonometric identity for the sum of two angles. - **Ac.sut + Bsinut = ccos (wt - ( )** - This equation represents the combination of two sinusoidal waveforms with different amplitudes and phase shifts. - **A cos (wt+l) + B sin (wt+Cl ( از رابطه های 5 و 6 استفاده می کنیم.** - This indicates using the trigonometric identities mentioned earlier to simplify equations. - **√(t) = 5 CoS (40+20) → * فرم حوزه زمانی * ** - This represents a voltage waveform expressed in the time domain. - **w = 2sif = 40 f = 6,36 Hz** - This equation calculates the angular frequency from the signal frequency. - **T = 1/f = 0.15** - This equation defines the time period of a waveform based on its frequency. - **Vm = 5v** - This defines the peak voltage of the waveform. - **z = x + yJ** - This represents a complex number in rectangular form, frequently used in AC circuit analysis. - **Z = Izl** - This represents a complex number in polar form, often used in AC circuit analysis. - **Z= Izl (cosce +jsine)** - This is a conversion from rectangular form to polar form for a complex number. - **x=Zc.se** - This defines the real part of the complex number in terms of the complex number's magnitude and phase. - **y = z sin e** - This defines the imaginary part of the complex number in terms of the complex number's magnitude and phase. - **v(t) = Vm Cos(wt+Cl)** - This represents a voltage waveform expressed in the time domain. - **v(t) = Vm Re (e^(jwt+Cl))** - This represents a voltage waveform expressed in the frequency domain using Euler's formula. - **v(t) = Vm Re (e^(jut))** - This represents a voltage waveform expressed in the frequency domain using Euler's formula. - **v(t) = Re (Vm e^(iwt))** - This represents a voltage waveform expressed in the frequency domain using Euler's formula. - **V=Vme^(j*) VmLe^(j*)** - This represents a voltage waveform expressed in the phasor domain. ### 1403, 8, 14 - Electrical Engineering Notes - **i(t) = Imas(wt+ce)** - This represents a current waveform expressed in the Time Domain. - **√(t) = Ri(t)** - This represents a voltage waveform. - **V(t) = RImCos (wt + (e)** - This represents the voltage waveform expressed in the Time Domain. - **I = Ime^(j*)** - This represents a current waveform expressed in the Frequency Domain. - **V=RIme^(j*)** - This represents a voltage waveform expressed in the Frequency Domain and demonstrates that resistance does not affect phase shift. - **V= L di / dt** - This represents the voltage across the inductor and is related to the rate of change of current. - **i = Imc.s (wt+ce) i = Imc** - This represents a current waveform expressed in the Frequency Domain. - **v=Lw sin (wt+ce) => v= wLc.os (wt + ( )** - This represents a voltage waveform expressed in the Frequency Domain. - **✓ = ImLwej ^(j( ) + )** - This represents a voltage waveform expressed in the Frequency Domain. - **GV=IWL=JWLI** - This represents a relationship between voltage, current, and the inductance of the inductor. - **jریان نسبت به ولتاژ پس فاز است.** - This describes the phase relationship between voltage and current in an inductor. ### 1403, 8, 26 - Electrical Engineering Notes - **Z = 5.2 + Z2** - This represents a combination of two impedances (Z1 and Z2) in series. - **Vm = 10 V** - This is the peak voltage of the source waveform. - **w = 2πf = 4** - This relates angular frequency to the signal frequency. - **Vs = ZI+Z2I** - This equation represents Kirchhoff's voltage law in a circuit with two impedances. - **Z = R+J(XL-XC)** - This represents the total impedance in the circuit. - **Ys= 1o Le = 10 = 10** - This represents the voltage source phasor but since it is in polar coordinates, the j (imaginary part) is shown as e^(j ) to indicate the angle. - **Z = 5-2,5J** - Represents the impedance of the circuit in rectangular form. - **I = V/ Z = 10/ (5.59/-26.97°)** - This represents the current based on Ohm's law, V=IZ, and expressed in polar coordinates. - **I (t) = 1,79 CoS (4+26,97)** - This represents the current waveform in terms of the time domain. - **Vc = Ys(Z1/(Z1 + Z2)) = 10 (5/-26.97 / (5-2,5J / (5-2,5J+10)))** - This calculates the complex power of a circuit involving two impedances. - **√c() = 4,47 Cos(42-63103)** - This shows a voltage phasor of the circuit in polar coordinates. - **W = 100 rec = 2mF** - This is the frequency of the circuit, indicating that frequency is 100 rad/s and assuming capacitor is 2mF. - **Zc==** - This describes the capacitive reactance. - **ZL = JWL** - This describes the inductive reactance. - **Z = Z2Z3 Z2+Z3** - This formula calculates the impedance of two series connected impedances. - **Zn = "72,24-6145** - This represents an impedance in rectangular form. - **Ztotal = 12/24-11, 4J** - This represents the total impedance of the circuit. ### 1403, 9, 3 - Electrical Engineering Notes - **BC a= A+B+C** - This equation describes the ratio of side BC compared to the sum of all sides in the triangle. - **b = ACC A+B+C** - This equation describes the ratio of side AC compared to the sum of all sides in the triangle. - **C = AB A+B+C** - This equation describes the ratio of side AB compared to the sum of all sides in the triangle. - **C = ac+bc+ab** - This equation defines the perimeter of the triangle. - **A = ac+bc+ab** - This equation also defines the perimeter of the triangle. - **C/b = ac+be+ab/b**- This equation defines the ratio of the perimeter of the triangle to side b. - **a = ac+bc+ab a** - This equation defines the ratio of the perimeter of the triangle to side a. - **ساختار سیستم قدرت :** This translates to the structure of Power system. - **مصرف** - This translates to consumption of power. - **توزیع** - This translates to distribution of power. - **سیستم انتقال** - This translates to the power transmission system. - **تولید (نیروگاه)** - This translates to power generation (power plants). - **خطوطی که توان های بالا با ولتاژها و جریان های بالا را انتقال می دهد های بالا** - This describes high voltage transmission lines. - **نیروگاه های آبی با توجه آب ذخیره شده در پشت آنها و نیازی که شبه دارد مقدار دریچه سد را کم و زیاد می کنند که توان تولیدی را که یا زیاد کنند.** This describes how hydroelectric power plants work. - **حرارتی - هسته ای** - These relate to thermal and nuclear power plants. - **نیروگاه ها ده برق آبی** - This indicates that various types of power plants exist besides hydroelectric plants. - **بادی** - This refers to wind power generation. - **نیروگاه های مرجع :** This translates to reference power plants. - **نیروگاه های آبی به عنوان نیروگاههای مرجع انتخاب میشوند** - This describes that hydroelectric power plants are often used as reference ones due to their quick response to power demand changes. - **فرکانس شبکه وابسته به توان تولیدی است** - This describes the relationship between power generation and frequency in an electrical grid. - **ژنراتور** - This refers to power generators. - **اجزای اصلی ترانس** - This translates to main components of a power transformer. - **نیروگاه** - This refers to power plants. - **%45** - This number may be relevant for power generation efficiency. - **کمبود را حیران می کند.** - This relates to power shortages. - **توان مصرفی** - This signifies the power consumption. - **توان تولیسی** - This signifies the power generation. - **م آ** - This refers to "Mega-Ampere" or Mega-Amp. - **نیروگاه سیکل ترکیبی باری راندمان بالاتر می رود - 985** - This mentions a combined-cycle power plant achieving higher efficiency. - **ترليبي.** - This may refer to a combined-cycle power plant. - **755** - This might indicate another efficiency value for a different power plant. - **نیروگاه های آبی به سرعت میتوانند توان تولیدی را تغییر دهند.** - This denotes the rapid response capability of hydroelectric power plants. - **PG = PL + Ploss** - This equation indicates that the total power generated is equal to power consumed plus power losses in the system. - **توان تلف شده** - This refers to power losses in the system. - **نیروگاه های بخاری با استفاده از سوختهای فسیلی حرارت زیادی تولید کنیم تا آبی که در سیستم در حال چرخش است به بخار شدیدی تبدیل شود و فشرده شود و این بخار شدید با حرارتی که دارد توربین ما را به چرخش در می آورد.** - This describes the operation of a steam power plant. ### 1403, 9, 3 - Electrical Engineering Notes - **انرژی تجدید پذیر : خورشین / باری** - This translates to renewable energy, specifically solar and wind power. - **Distribution** - This refers to power distribution systems. - **Generation**- This refers to power generation systems. - **نیروگاه گازی هوا (گاز) منشوده شده و احترات صورت می گیرد و در محیط نسبته که ناخالصی وجود ندارد گاز به دمای بسیار بالایی میرسد و پروهای توربین با استفاده از گاز با دمای بالا شروع به چرخیدن میکند.** - This describes the operation of a gas turbine power plant. - **سیکل ترکیبی بعد از چرخاندن توربین های گازی، گاز با دمای بالا آب را باز کرده و توربین بخاری هم می چرخد و دو توربین برق تولید می کنند.** - This describes the operation of a combined cycle power plant. - **توربینهای** - This refers to steam turbines. - **بر اساس شکافت هسته ای انرژی بالایی تولید می شود** - This references nuclear power generation. - **بر اساس**- This translates to based on. - **نیروگاه هسته ای (حرارتی) :** - This refers to nuclear power plants and indicates their thermal nature. - **تغییر سطح توان تولیدی آن بسیار کم** - This shows that changing the output power of a nuclear power plant is slow. - **نمی تواند توانی معادل با نیروگاههای بخاری و گازی تولید کند.** - This clarifies that nuclear power plants cannot match the power generation capacity of gas and thermal power plants. - **ورود و خروج آن در مدار طول میکشد** - This highlights the long time needed to bring a nuclear power plant online and offline. - **765 kr/ 400kv/345kv / 230kv / 132kkr / 115kv / 69k : سطح ولتاژ خطوط انتقال** - This lists different voltage levels used for transmission lines. - **ولتاژ فوق العاده زياد EHV** - This signifies extra-high voltage (EHV) transmission. - **خط انتقال بالای 230kr** - This mentions high-voltage transmission lines. - **ن کنندگان بسیار بزرگ صنعتی ممکن است مستقیما به سیستم انتقال متصل شوند .** - This indicates large industrial consumers can directly connect to the transmission system. - **مصرف** - This signifies power consumption by consumers. - **سيستم توزیع سطح ولتاژ پایین تر می آید . 11/22r/33kr** - This discusses lower voltage levels in the distribution network. - **که جزئی از سیستم برق الکتریکی است که تمام مصرف کنندگان یک منطقه را به منابع برق تامین کننده متصل میکند** - Explains the distribution network's role in connecting consumers to the power grid. - **خروجی :** - This signifies the output of a system. - **افزایشی (ره)** - This refers to a step-up transformer. - **کاهنده)** - This refers to a step-down transformer. - **( نزدیک)** - This emphasizes close proximity, possibly to the load. - **تراض تغيير سطح ولتاژ در سیستم سارا انا واحد مصرف کننده** - This describes the function of transformers in adjusting voltage levels for different consumers. - **مسلونی** - This likely refers to residential consumers. - **بار مصرفی و تجاری** - This signifies commercial load. - **صنعتی** - This signifies industrial loads. - **و...** - This suggests the existence of other types of loads. - **P=VI** - This equation describes the power in a circuit. - **Ploss = RI** - This equation represents the power loss due to resistance in a circuit. ### 1403, 9, 5 - Electrical Engineering Notes - **V= Re (V√2 ejwt )** - This represents a voltage waveform expressed in the time domain using Euler's formula. - **Vrms =÷(v(t)}dk = <Vmcoswt/√2>** - This calculates the root mean square (RMS) voltage. - **Irms = Im <- ( )** - This calculates the RMS current. - **V=Vrms e^(j )** - This represents a voltage phasor in polar form. - **V=Vme^(j )** - This represents a voltage phasor in polar form. - **سوال قدرت سه فازه** - This translates to the concept of three-phase power. - **سوال مداری سه فازه** - This indicates that the circuit involves three phases. - **کار مفید را انجام می دهد.** - This indicates that the power is being used effectively. - **کار مفید انجام نمی دهد ولی جس حضورش الزامی است.** - This is a description of reactive power, which is necessary for the circuit to operate but does not directly do useful work. - **(- Cos ) ضریب توان** - This signifies the power factor of the circuit. - **توان حقیقی P = VIR = Vicos (S-B)[W[**- This equation calculates the real power in a circuit. - **توان موهومی Q = VIx = VISin (8-3) [var[** - This equation calculates the reactive power in a circuit. - **P(t) = VIR (I + cos(2(wt+8))) + VIx sin (z (wt+S))** - This equation represents the instantaneous power in a circuit. - **[VA] ولت آمپر** - This refers to the unit of apparent power. - **S = P+jQ** - This equation represents the complex power in a circuit. - **توان مختلط ، توان ظاهری :** - This describes the concept of complex power and apparent power. - **S = VI* = [V/S] [IB]* = VI /S-B** - This equation calculates the complex power in a circuit. - **COS** - This indicates the cosine term in the equation. - **= VI cos (S-B) + jVI sin (S-B)** - This equation expands the complex power into its real and reactive power components. - **توان لحظه ای : )t) = VIR (I+cos(2(wt+8)) [w[** - This equation represents the instantaneous power in a circuit. - **PR : توان متوسط = VIR = IR [w]** - This equation calculates the average power in a circuit. - **خازن و سلف فقط توان reactives)) می دهند.** - This clarifies that capacitors and inductors only consume reactive power. - **انت + Vdrop = IR** - This equation relates voltage drop across a resistor to the current and resistance. - **در حالت مقاومتی خالص موهومی ندارد جریان و ولتاژ هم ناز هستند.** - This describes the characteristics of a purely resistive circuit. - **ضریب توان پس ناز مربوط به سلف خاصیت (سلفی)** - This emphasizes the relationship between a lagging power factor and an inductive circuit. - **ولتاژ** - This refers to the voltage in a circuit ### 1403, 9, 10 - Electrical Engineering Notes - **S = P + jQ = I^2/Z** - The equation represents the complex power in a circuit in terms of current and impedance. - **Scosce = P** - This formula establishes the relationship between apparent power and real power using power factor. - **SsinceS = Q** - This formula establishes the relationship between apparent power and reactive power using power factor. - **P Cosce = 100 + Oj** - This equation describes the relationship between real power and cos(theta) and the complex power. - **Q since = 100 + Oj** - This equation describes the relationship between real power and reactive power. - **Cos (S-B) = cosce** - Equation states the relationship between power angle (S-B) and cos(theta). - **S = P +JQ = cos ce** - This demonstrates the equation to calculated the apparent power. - **S = 100 + Oj** - The equation describes the apparent power of the system. - **اصلاح ضریب توان ** - This signifies power factor correction. - **بسیار مهم** - Emphasizes the importance of power factor correction. - **Bold = cos(018) = 36,87° Qold = Port (tan(Ood))** - This equation calculates the power factor and reactive power before correction - **Pold = 50kw** - Describes the real power before correction. - **Sold = 50000+j37500.** - This is the complex power before correction. - **Onew = Cos' (0125) = 18,19°** - This is the power factor after correction. - **Snew-Sold = - 210 70 VA** - This determines the change in power factor. - **Snew = 50000 + 50000 (tan (18/19))** - This is the complex power after correction. - **C = 27070 (27F) (220x10³) 2 = 1155 MF** - This equation for calculating the required capacitor value for power factor correction. ### 1403, 9, 10 - Electrical Engineering Notes - **p(t) = v(t) i (t1 = Vmas ImarCos(wt+8)as (wt+B)** - This equation calculates the instantaneous power in an AC circuit. - **p(t) = Vmax Imax (Cos(8-13) +Cos (2(t+8)-(8-3)))** - This is an expansion of the previous equation. - **p(t) = VIC.S(8-3)+ VI Cos (8-3) Cos (2(wt+8))** - This is a further expansion of the instantaneous power equation. - **P(t) = Ics (8-3) (1+cos(2(wt+8))) + VI sin (8-3)** - This is an expanded form of the instantaneous power equation. - **= VIR (Itas (2(wt+8))) + VIxsin (2(wt+8))** - This represents the instantaneous power in terms of real and reactive power. - **توان را را لغیر مصرف مصرف می می کند کند.** - This is about the concept of reactive power, which is not directly used for useful work but is still necessary in an AC circuit. - **توان اکتیو مصرف می کند. ** - This indicates that the real power is consumed. - **توان راکتیو ارسال می کند - ۵۰** - This implies that the circuit is inductive, leading to a lagging power factor. - **توان راکتیو ارسال می کند. ** - This imples that the circuit is inductive, leading to a lagging power factor. - **توان راکیتو ارسال می کند - pro** - This implies that the circuit is inductive, leading to a lagging power factor. - **توان را کنید مصرف می کند : 2٢٥** - This implies that the circuit is inductive, leading to a lagging power factor. - **توان الديو مصرف - - ۲۷۰** - This implies that the circuit is inductive, leading to a lagging power factor. - **(exp) یک منبع ولتاژ تک فاری با ولتاژ 100 ولت جریان 10/10 آمپر را ارسال می کند که جریان از سر مثبت منبع خارج شده است توان اکتیو و راکتیو را محاسبه کنید.** - This is a problem regarding power calculations in a single-phase AC circuit. - **S = VI* = 100 /120 x 10 / -120 = - 500 + j 50√3** - This calculates the complex power in the circuit. - **توان اکتیو جذب میکند - PK. ** - This is the real power consumed by the circuit. - **توان راکتیو ارسال میکند ۲۶۰** - This is the reactive power sent back to the source. - **v(t) = Vmax Cs (wt+8)** - This represents a voltage waveform in the time domain. - **L(土) = Ilmax Cos (wt+8-90°)** - This represents a current waveform in the time domain. - **PL(土) = v(t)i(t) = Vmax Imax Cos(wt+S) Cos (wt+S-90) =VIL Sin (2(wt+8)) w** - This equation represents the instantaneous power in an inductor. - **بارسلفی خالص:** - This refers to a purely inductive load. - **jXL=jw Lat** - This represents the inductive reactance. ### 1403, 9, 12 - Electrical Engineering Notes - **Pc (t) = v(t)ic(k) = VmaxIcmaxGs(wt+5) Cas (wt+8+90( : بارخازمین خالص** - This equation calculates the instantaneous power in a capacitor. - **= - VIcsin (2(wt+S)) W** - This is an expanded form of the instantaneous power equation for a capacitor. - **-JXc=** - represents the capacitive reactance. - **P, Q, pf = ?** - This asks for the real power, reactive power, and power factor of a circuit. - **Ix = 747,4/√2 = 700 10°** - This defines the current phasor in polar form. - **IR = 100/√2 = 10 10°** - This defines the current in the circuit. - **Ix = Too / 700 Lo = 261531-90°** - This converts the current phasor from rectangular to polar form. - **I = 10-j26,53 = 28/351-69134°** - This determines the resultant current. - **P = (100) (28135) Cos (0+69,34) = 1,000 W** - This calculates the real power. - **Q = (Too) (28135) sin(o+69,34) -2053 [Var]** - This calculates the reactive power. - **Pf = cos (69,34) lagging = 0/3527 lagging.** - This determines the lagging power factor. - **jai + = : پس فان** - This describes the lagging power factor. - **Cos Cenκ = 1/√2** - This is the cos(theta) value for a capacitor. - **مرتب توان را - تغییر می دهد کا CS C2 = y** - This explains that adding a capacitor changes the power factor of a circuit. - **S2 = Pr+jQ2** - This equation represents the apparent power after adding a capacitor. - **که خازن گذاری می کنیم** - Indicates the application of power factor correction. - **که توان اکتیو ثابت می ماند** - This highlights the real power remains constant. - **P = Scose Q =s since X c = V Q X c = wc** - This is a set of equations related to power factor correction. - **S = P-JQ** - This describes complex power. - **ج یه بار با خازن موازی شده ، دما رو داده** - This refers to a scenario where a capacitor is connected in parallel with a load whose power factor is known. - **حالا اگه خازن را حذف کنیم ی چقدر میشه** - This asks how would the power factor change if the capacitor is removed. - **ممکنه به این شکل سوال بده** - This indicates that this type of problem may be asked in an exam. ### 1403, 9, 12 - Electrical Engineering Notes - **p(t) = v(t)ic(k) = VmaxIcmaxGs(wt+5) Cas (wt+8+90( : بارخازمین خالص** - This equation calculates the instantaneous power in a capacitor. - **= - VIcsin (2(wt+S)) W** - This is an expanded form of the instantaneous power equation for a capacitor. - **-JXc=** - represents the capacitive reactance. - **P, Q, pf = ?** - This asks for the real power, reactive power, and power factor of a circuit. - **Ix = 747,4/√2 = 700 10°** - This defines the current phasor in polar form. - **IR = 100/√2 = 10 10°** - This defines the current in the circuit. - **Ix = Too / 700 Lo = 261531-90°** - This converts the current phasor from rectangular to polar form. - **I = 10-j26,53 = 28/351-69134°** - This determines the resultant current. - **P = (100) (28135) Cos (0+69,34) = 1,000 W** - This calculates the real power. - **Q = (Too) (28135) sin(o+69,34) -2053 [Var]** - This calculates the reactive power. - **Pf = cos (69,34) lagging = 0/3527 lagging.** - This determines the lagging power factor. - **jai + = : پس فان** - This describes the lagging power factor. - **Cos Cenκ = 1/√2** - This is the cos(theta) value for a capacitor. - **مرتب توان را - تغییر می دهد کا CS C2 = y** - This explains that adding a capacitor changes the power factor of a circuit. - **S2 = Pr+jQ2** - This equation represents the apparent power after adding a capacitor. - **که خازن گذاری می کنیم** - Indicates the application of power factor correction. - **که توان اکتیو ثابت می ماند** - This highlights the real power remains constant. - **P = Scose Q =s since X c = V Q X c = wc** - This is a set of equations related to power factor correction. - **S = P-JQ** - This describes complex power. - **ج یه بار با خازن موازی شده ، دما رو داده** - This refers to a scenario where a capacitor is connected in parallel with a load whose power factor is known. - **حالا اگه خازن را حذف کنیم ی چقدر میشه** - This asks how would the power factor change if the capacitor is removed. - **ممکنه به این شکل سوال بده** - This indicates that this type of problem may be asked in an exam. ### 1403, 9, 10 - Electrical Engineering Notes - **p(t) = v(t) i (t1 = Vmas ImarCos(wt+8)as (wt+B)** - This equation calculates the instantaneous power in an AC circuit. - **p(t) = Vmax Imax (Cos(8-13) +Cos (2(t+8)-(8-3)))** - This is an expansion of the previous equation. - **p(t) = VIC.S(8-3)+ VI Cos (8-3) Cos (2(wt+8))** - This is a further expansion of the instantaneous power equation. - **p(t) = Ics (8-3) (1+cos(2(wt+8))) + VI sin (8-3)** - This is an expanded form of the instantaneous power equation. - **= VIR (Itas (2(wt+8))) + VIxsin (2(wt+8))** - This represents the instantaneous power in terms of real and reactive power. - **توان را را لغیر مصرف مصرف می می کند کند.** - This is about the concept of reactive power, which is not directly used for useful work but is still necessary in an AC circuit. - **توان اکتیو مصرف می کند. ** - This indicates that the real power is consumed. - **توان راکتیو ارسال می کند - ۵۰** - This implies that the circuit is inductive, leading to a lagging power factor. - **توان راکتیو ارسال می کند. ** - This imples that the circuit is inductive, leading to a lagging power factor. - **توان راکیتو ارسال می کند - pro** - This implies that the circuit is inductive, leading to a lagging power factor. - **توان را کنید مصرف می کند : 2٢٥** - This implies that the circuit is inductive, leading to a lagging power factor. - **توان الديو مصرف - - ۲۷۰** - This implies that the circuit is inductive, leading to a lagging power factor. - **(exp) یک منبع ولتاژ تک فاری با ولتاژ 100 ولت جریان 10/10 آمپر را ارسال می کند که جریان از سر مثبت منبع خارج شده است توان اکتیو و راکتیو را محاسبه کنید.** - This is a problem regarding power calculations in a single-phase AC circuit. - **S = VI* = 100 /120 x 10 / -120 = - 500 + j 50√3** - This calculates the complex power in the circuit. - **توان اکتیو جذب میکند - PK. ** - This is the real power consumed by the circuit. - **توان راکتیو ارسال میکند ۲۶۰** - This is the reactive power sent back to the source. - **v(t) = Vmax Cs (wt+8)** - This represents a voltage waveform in the time domain. - **L(土) = Ilmax Cos (wt+8-90°)** - This represents a current waveform in the time domain. - **PL(土) = v(t)i(t) = Vmax Imax Cos(wt+S) Cos (wt+S-90) =VIL Sin (2(wt+8)) w** - This equation represents the instantaneous power in an inductor. - **بارسلفی خالص:** - This refers to a purely