Determine the effective resistance Rin of the network exhibited in the figure. Each Ris 2.2n A sinusoidal alternating uelt
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- (a) Considering pure inductance in an ac circuit element, show that the alternating current lags the voltage by ᴨ/2. (b) Derive the Norton equivalent network with respect to terminals PQ for the network shown in Figure below and hence determine the magnitude of the current flowing in a 2Ὡ resistor connected across PQIf 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.A 60-Hz 220-V-rms source supplies power to a load consisting of a resistance in series with an inductance. The real power is 1500 W, and the apparent power is 2500 VAR. Determine the value of the resistance and the value of the inductance.
- 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.An industrial installation has a power factor of 0.85 in backward. The demand is 150 KVA, and the operating voltage is 4800 V at 60 Hz. What should be done to bring the power factor to 0.95 in lagging? Indicate what you would connect and with what three-phase power. If the connection of the element to be added is in delta, indicate its reactance and the value of its capacitance or inductance. capacitance or inductance.Exercise 2: Resistances connected in Series-Parallel across a Sinusoidal AC Supply Calculate the following: a) Calculate the peak to peak voltage (Vpk-pk) and peak to peak current (I pk-pk) b) Current flowing through the circuit. (Irms) c) Voltage across resistors R9, R12, R14. (Vrms) d) Current flowing through the resistors R9, R10,R14. (Irms) e) Calculate the time period of the waveform Consider V=3.535Vpk and F=1.5 kHz
- Calculate the rms values of load voltage and current for the circuit shown below. Please show workwhat 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?. (a) Considering pure resistance in an ac circuit element, show that the alternating voltage and current operate in phase. (b) Derive an expression for the effective resistance of: (i) Two resistors connected in parallel (ii) Two resistors connected in series
- Consider the given waveform of voltage and current vs. time: a. How many cycles of the voltage is presented in this graph? How many cycles of current? b. What is the peak value of the voltage presented in this graph? What is the peak value of the current?c. What is the sinusoidal equation for the voltage and current of this graph. d. Draw the phasor diagram of the voltage and current (with magnitude and direction).e. Is the current leading, lagging, or in phase with the voltage? If leading or lagging, by how much (write your answer in degrees).f. If these are the voltage and current waveforms of a specific circuit branch, what is the impedance of that branch? (Hint: Use Ohm's Law)A balanced wye-connected three-phase source has line-to-neutral voltages of 440 V rms. Find the rms line-to-line voltage magnitude. If this source is applied to a wye-connected load composed of three 30-Ω resistances, find the rms line-current magnitude and the total power delivered.power system iii) Sketch the phasor diagram of Q2(b)(i) and Q2(b)(ii) above.