For the component shown with the given voltage and current reference directions, the voltage across and the current through the component are plotted. Determine the total amount of energy consumed by the component. i +. Voltage 2 V 1 V + Time 5 s 10 s Current 4 A
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- Find the total impedance, voltage drop on the 100-ohm resistor, draw the phasor diagram of the voltage and current at R1, total power (apparent) delivered by the current source, draw the phasor diagram of the voltage and current at the source. Also, is the circuit inductive, capacitive, or neither (resistive)? please give the step-by-step solution NOTE: Polar form for Voltage & Current. Rectangular form for ImpedanceIf a current 5.0 A lags the applied voltage 230 V by an angle ϕ, it can be resolved into two components, OA in phase with the voltage and OB lagging by 90°. If the phasor diagram in to a circuit possessing resistance and inductance in series, OA and OB must not be labelled and respectively. It has become the practice to say that the power factor is laggingwhen the current lags the supply voltage, and leading when the current leads the supply voltage. This means that the supply voltage is regarded as the reference quantity. (a) A 30 μ F capacitor is connected across the applied voltage, 50 Hz supply. Calculate the reactance of 30 μ F capacitor connected across applied voltage (b) the reactance of the capacitor; (c) the current.what is the mutual inductance in ohms (or the mutual inductive reactance ) between the two mutually-coupled inductors? if circuit to the left of load Z is converted into its Thevenin's equivalent, what would be the magnitude of ZTh in ohms? what is the phase angle of ZTh in degrees? what would be the phase angle of VTh in degrees? what would be the magnitude of VTh in volts if E = 120 V?
- When this resultant voltage is applied to a circuit consisting of a 10-Ω resistor and a capacitance of 17.3 Ω reactance connected in series, find an expression for the instantaneous value of the current flowing, expressed in the same formGiven the applied source and network below: a. Determine the sinusoidal expression for the source voltage ?? b. Find the sinusoidal expressions for the currents ?1 and ?2.Application of Complex Number to EE (25 pts). Using Ohm’s Law (? = ? × ?), determine the following given a component having an impedance (Z) equation below and a current (I) equation passing through it. ? = (?? ??)^? + (? − ??)^?/? ohms; ? = ? ? amps a. Evaluate and simplify the component’s impedance (Z). Express your answer in polar form and in ohms. Use the principal root value only (if applicable). b. Evaluate and simplify the current (I) passing through the component. Express your answer in polar form and in amperes. c. Using Ohm’s Law (? = ? × ?), determine the voltage (V) across the component. Express your answer in polar form and in volts.
- In the circuit in the figure, there is a load formed by connecting the resistor R0 between the terminals a and b and the inductance L0 in series. The amplitude of the voltage Vs (t) is √2 150 volts, the phase angle θs = 0 degrees, the period is T = 200π microseconds. Since R = 300OHM and C = 1 microFa) If the load phase angle is constant θL = 60 degrees, find the values of R0 and L0 that enable the load to draw the maximum average power from the circuit.b) Calculate the average power on the load.Find the phasor voltage ?s (rms) if loads ?1 and ?2 are absorbing 15 ??? at 0.6pf lagging and 6??? at 0.8pf leading, respectively. Express ?s in polar form as shown in the figure below. ( Find the phasor Vs (rms) ): L1 and L2 absorbing = 15kvA at 0.6 pf(power factor) and 6kvA at o.8pf (power factor , leading) Express Vs in polar form.Exercise 11) Transform the circuit in phasor domain representation2) Determine the value of total impedance, ZT3) Determine the value of total current, IT4) Determine the value of voltage across resistor and capacitor5) Convert in rms values.
- Answer the following points in detail and rigorously. Instead of resorting to formulas, develop from basic principles (laws of voltages and currents, definition of electrical power, properties of phasors, among others). a) Suppose that between the two terminals of an element there is a voltage v (t) and that a current i (t) enters through the terminal marked with a positive sign. Show that if v (t) and i (t) are sinusoidal and are out of phase by an angle ϕ, then the active power P that is consumed by said element is proportional to cos ϕ. b) How much is P for a pure inductor and how much for a pure capacitor? Does this make physical sense? c) When specifying the power factor seen between two terminals, why is it necessary to indicate whether it is lagging or leading? d) Show that the complex power consumed by two elements in parallel is the sum of the individual complex powers. Then repeat the procedure but for two elements in series. e) What meaning would you give to the P consumed…Answer the following points in detail and rigorously. Instead of resorting to formulas, develop from basic principles (laws of voltages and currents, definition of electrical power, properties of phasors, among others). a) Suppose that between the two terminals of an element there is a voltage v (t) and that a current i (t) enters through the terminal marked with a positive sign. Show that if v (t) and i (t) are sinusoidal and are out of phase by an angle ϕ, then the active power P that is consumed by said element is proportional to cos ϕ b) How much is P for a pure inductor and how much for a pure capacitor? Does this make physical sense? c) When specifying the power factor seen between two terminals, why is it necessary to indicate whether it is lagging or leading?If the values of real power and reactive power is specified for a bus, then it is called as PQ bus. Select one: True False