Determine the frequency so that the current
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Principles and Applications of Electrical Engineering
- At t=0 a charged 10{μF capacitance is connected to a voltmeter, as shown in Figure P4.5. The meter can be modeled as a resistance. At t=0 the meter reads 50 V. At t=30s, the reading is 25 V. Find the resistance of the voltmeter.arrow_forwardThe capacitor model we have used so far has beentreated as an ideal circuit element. A more accuratemodel for a capacitor is shown in Figure P4.67. Theideal capacitor, C, has a large “leakage” resistance, RC,in parallel with it. RC models the leakage currentthrough the capacitor. R1 and R2 represent the leadwire resistances, and L1 and L2 represent the lead wireinductances.a. If C = 1 μF, RC = 100 MΩ, R1 = R2 = 1 μΩ andL1 = L2 = 0.1 μH, find the equivalent impedanceseen at the terminals a and b as a function offrequency ω.b. Find the range of frequencies for which Zab iscapacitive, i.e., Xab > 10|Rab.Hint: Assume that RC is is much greater than 1/wC so thatyou can replace RC by an infinite resistance in part b.arrow_forwardHow would you solve this question? How do you know when the voltage will lead the current and vice versa? Do we need to use a phasor diagram for this?arrow_forward
- The voltage across an inductor plotted as a functionof time is shown in Figure P4.14. If L = 0.75 mH,determine the current through the inductor att = 15 μs.arrow_forwardIf the plots shown in Figure P4.18 are the voltageacross and the current through an ideal capacitor,determine the capacitance.arrow_forwardDetermine expressions for and sketch v R ( t ) to scale versus time for the circuit of Figure P4.43. The circuit is operating in steady state with the switch closed prior to t=0. Consider the time interval −1≤t≤5 ms.arrow_forward
- PLEASE SHOW YOUR DETAILED SOLUTION. WILL GET A LIKE A 25- W resistor, a 300-mH, and a 40-µF capacitor are connected in parallel across a 120-V, 50-Hz source. Determine the magnitude of the following: (a) admittance; (b) current through resistor, inductor, and capacitor; (c) the total current; (d) true power, inductive and capacitive reactive power; (e) apparent power, power factor, and power factor.arrow_forwardIf the waveform shown in Figure P4.15 is thevoltage across a capacitor plotted as a function of timewithvPK = 20V, T = 40 μs, C = 680nFdetermine and plot the waveform for the currentthrough the capacitor as a function of time.arrow_forwardDescribe the sinusoidal waveform shown inFigure P4.44, using time-dependent and phasornotation.arrow_forward
- Consider the circuit shown in Figure P4.40. A voltmeter (VM) is connected across the inductance. The switch has been closed for a long time. When the switch is opened, an arc appears across the switch contacts. Explain why. Assuming an ideal switch and inductor, what voltage appears across the inductor when the switch is opened? What could happen to the voltmeter when the switch opens?arrow_forwardShow step by steparrow_forwardWhat similarities can you draw between the formulas of finding the capacitance and resistance in series and parallel circuits?arrow_forward
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