The circuit shown in the figure to the right has two input sources: vi(t) = 50 cos (20t – 75°) V v2(t) = 35 cos (20t + 110°) V When the circuit is at steady state, the node voltage is v(t) = 21.25 cos (20t - 168.8°) V Determine the values of R and L.
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- An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in parallel. The circuit is connected to a 240-V, 400-Hz power supply. Find the following values. XL=XC=IR=AIL=AIC=AP=WVARsL=VARsC=IT=AVA=PF=%=Answer the following with illustration and solution. 1.) A circuit consisting of a resistor of 5kohms in series with a capacitor of 10 nanofarad is connected across a 16v sinusoidal supply. Calculate the output voltage at a frequency of 60Hz and again at frequency of 120Hz. This is the example/guide that might help.b) Two circuits connected in series which voltage drop across at each circuit can be expressed in time TTM domain as V1 (t) =5 sin (3147) V and V2 (1) =15 sin (314t - 30°) V. Sketch the waveforms of these voltages to illustrate peak values and phase relationships. UTM 5 UTM UTM TM S UTM UTM TM 5 UTM 8 UTM
- A series circuit consists of a resistor, a coil, and a capacitorconnected across a 300V, 60Hz AC source. The current drawn is 20A.The voltage across the resistor is 60V, that across the coil is 260V andthat across the capacitor is 100V. The resultant voltage across the coiland the capacitor is 254.56V. Determine (a) the resistance of theresistor, (b) the resistance and inductance of the coil, and (c) theresistance and capacitance of the capacitor.For the circuit below with input voltage V1, a step function of magnitude 25 volts at time t-0, find the transient response voltage across the capacitor C1 and plot the results: (Provide your calculations and reasoning for your answer.) R1 555 250mH V1 = 0 V2 - 25 TD = 0 TR In V1 C1 TF in PW- 25 PER = 3.3uThe time taken by the series RL circuit having an inductance of 0.6 H and resistance of 30 Ohms to reach a steady-state value.
- A 250-V circuit, consisting of a resistor, an inductor and a capacitor in series, resonates at 50 Hz. Thecurrent is then 1A and the p.d. across the capacitor is 500 V. Calculate (i) the resistance (ii) theinductance and (iii) the capacitance Answer:In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amperes) through the resistor is 2sin(t+ n/2). The displacement current (in Amperes) through the capacitor isA resistor and a capacitor are connected in series across a 150V AC supply. When the frequency is 40Hz the circuit draws 5A. When the frequency is increased to 50Hz, it draws 6A. Find the values of resistance and capacitance. Also find the power drawn in the second case.
- Shown in the figure below is an "RLC" circuit driven by an AC power source. The AC power source has an RMS voltage of Vps(RMS) = 11.80 Volts and is running at a frequency of f = 147000 Hz. The resistor has a resistance of R = 3910 Ω, the capacitor has a capacitance of C = 4.01e-10 Farads, and the inductor has an inductance of L = 5.97e-03 Henries.Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit ?Ztot = Determine the numerical value of Ztot = ΩDetermine the numerical value of ?Ztot = degreesDetermine the current through the circuit: I(PEAK) = Amps I(RMS) = Amps Determine the voltage across the inductor: VL(PEAK) = Volts VL(RMS) = Volts Determine the voltage across the capacitor: VC(PEAK) = Volts VC(RMS) = Volts If a second circuit were connected in parallel with the resistor, this circuit would be considered as: a high-pass filtera flux capacitor a radio tunera phase…For a series RLC circuit with a sinusoidal input voltage, the amplitude of the current passing through the circuit (I, in mA) is plotted as a function of frequency for two cases: Curve 1 with R1, L1. and Curve 2 with R2. L2 as shown in the next figure. The value of the capacitor used in the circuits is C=0.01 micro Farads. If the value of R2 =1600 Ohm then the input voltage (in volts) is: 7.5 25 110 Frequency H2 O a. 4 O b. 16 sin(9888 t) O c. 8 O d. 8 cos(6.28 f t) O e. 8 sin (6.28 R t)Consider the parallel RLC circuit of Figure 2 with the source a 1-kHz sinusoid having an amplitude of 5 V. Regard the source voltage as having zero phase. Calculate the amplitude and phase (in degrees) of the following quantities: the current through the resistor, the current through the inductor, and the current through the capacitor. Calculate also the amplitude and phase of the current supplied by the source.