1. (a) Find the complex impedance of the circuit shown below. A o Bo C R L (b) If L = CR² and a sinusoidal voltage of angular frequency 1/√LC is applied acro AB, show that the current flowing through the circuit is π/4 out of phase with t applied voltage Which leads ?
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- An electrical circuit with a sinusoidal voltage source, a resistor, and a capacitor all connected in series. The voltage across the capacitor: Select one: a. Leads the current in the capacitor by exactly 90o b. Is in phase with the sinusoidal voltage source c. Is in phase with the voltage across the resistor d. Leads the current in the circuit by 90o e. Lags the current in the circuit by 90oThe following is given for a series R-L-C circuit: resistor (R) = 8 Ohms, an inductor (L) = 32 mH and a capacitor (C) = 800uF. The circuit is supplied by a voltage source of e = 120 sin (125t) Volts. What is the angular frequency of the ac source? What is the period of ac source? What is the circuit impedance? What is the power factor? What is the real power of the circuit? What is the rms value of the circuit current?A circuit is designed with an AC source of max voltage 12 and frequency 60 Hz. The circuit has a resistance of 1050 Ohms, an inductance of 0.06 Henrys, and a capacitance of 0.009 coulombs per volt. - omega for source in rad/s? - omegaR for circuit? -XL? -XC? -phi in radians? -Z? -imax?
- 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)In the circuit shown in Figure, find its Vrms (gen) and inductive reactance. After that, solve for its voltages (vrms) across the two resistors and capacitors. Prove that the phasor sum of the series components is equal to the source voltage. Solve for the total circuit impedance. Display your answer in rectangular form (R + X ohms). With the solved circuit impedance, solve for the total circuit current (Irms) in this series circuit. P.S. we need a neat solution. thank you in advance!In the circuit shown in Figure, find its Vrms (gen) and inductive reactance. After that, solve for its voltages (vrms) across the two resistors and capacitors. Prove that the phasor sum of the series components is equal to the source voltage. Solve for the total circuit impedance. Display your answer in rectangular form (R + X ohms). With the solved circuit impedance, solve for the total circuit current (Irms) in this series circuit.
- The phasor of the impedance of an AC circuit has no vertical component. What does this mean? there are no reactive components in the AC circuit the resistance of the circuit is equal to the reactance of the reactive components the inductive reactance and capacitive reactance are equal in magnitude there are no inductors in the circuitplease write the complete solution and the topic is AC parallel circuits thank you A sinusoidal 50 Hz voltage of 200 V(rms) supplies the following three circuits which are inparallel (i) a coil of inductance 0.03 H and resistance 3 ohms,(ii) a capacitor of 40 microfaradin series with a resistance of 100 ohms, (iii) a coil of inductance 0.02 H and resistance 7 ohmsin series with a 300 microfarad capacitor. Find the total current supplied.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.
- The following is given for a series R-L-C circuit: resistor (R) = 8 Ohms, an inductor (L) = 32 mH and a capacitor (C) = 800uF. The circuit is supplied by a voltage source of e = 120 sin (125t) Volts. What is the angular frequency of the ac source? What is the circuit impedance? What is the power factor? What is the real power of the circuit?A series RC circuit with R=4k ohms and C= 0.40 mF is connected to an AC voltage source e(t)= 100 sin200t. Determine the following: a). The overall power factor ( indicate big leading or lagging) b). The voltage drop across the resistor and the capacitorConsider a drcuk where an ideal inductor L=D.144H is connected in parallel to a resistor R=1.00k. This combination is connected in series with a capacitor C=3.67e-07. This combination in connected to a power supply source of frequency f-3.4kHz. To study this circuit you need to drawa phasor diagram. Note the sum cf the current phasors through the resistor and the inductor must be equal to the phasor representing the current through the capacitor fie. the total current). You should draw the phasor for the current through the capadtor on the horizontal axis, since this is also the total ourrent delivered by the supply. The angie between this phasor and that of the power supply represents the phase angle o. Note that the voltage across the inductor equals the voltage aoross the resistor since they conmected parallel to esch other. Furthermore the sum of the phasors representing the currents through the inductor and the resistor equals the phasor representing the current through the…