AC Circuits Questions

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A 100Ω resistor, 2.00 mH inductor, and 50 µF capacitor are connected in series to an AC voltage source. If the maximum voltage is 75.0 V and the frequency is 500 Hz, what is the rms current in the circuit?

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2. A 10.00 resistor is hooked up in series with an 8.00 resistor followed by a 27.0 resistor. The circuit is powered by a 9.0 V battery. (a) Draw a labeled circuit diagram for the circuit described (b) Calculate the equivalent resistance. (c) Calculate the voltage drop across each resistor in the circuit.

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1. For the following circuit, the rms value sinusoidal voltage source is DV; its linear frequency: f= 30n-1 and its phase: Os = 45° (6 pts) a + C VS ele R a) Find the values of C, L, R if Zc=-j3 2 ; ZŁ= j3 2; Zr= 4 2 (2 pts) b) Find the value of Zeq (1 pts) c) Find the phasor voltage: V. (express it in terms of the peak voltage value and the phase angle in degrees). (1 pts)

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Which are disadvantages of series circuits? Check all that apply. a) They are easy to design and build. b) They are complicated to design and build. c) A break in one wire causes all current to stop. d) Current can flow through other branches if there is a break in one branch. e) If one bulb goes out, the others stay lit. f) If one bulb goes out, the others go out.

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Problem 3: If you have an inductor L and a capacitor C in series, what does the total complex impedance Z approach as w → (LC)-1/2? If you have the same two elements in parallel, what does the total complex impedance approach in this same limit? Now imagine that associated with the inductor L there is a resistance R. That is, there is always a small resistance R in series with the inductor, in both cases. Now what do your two limits become? Note: To solve this problem you will have to use the fact that complex impedances add in series in parallel the way resistances do, but in complex math.

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(b) For the following pair of voltage and current, indicate whether the element involved is a capacitor, an inductor, or a resistor and find the value of C, L, or R. v(t) = 18 sin(754t + 10) i(t) = 2 sin(754t-80)

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Problem 1: Look at the (ideal, R = 0) LC circuit we discussed in Lec- ture on 2022-04-07. Make time-aligned plots of the charge Q(t), current I(t), energy in the capacitor Uc = (1/2)Q2/C, energy in the inductor UL = (1/2) L 12, and total energy Uc + U, as a function of time over two periods. Be sure to label very clearly the minimum and maximum values of all five curves (these will be expressions involving Qo, L,C), and be sure to label all the time locations of any zero-crossings. Ro o alle

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Find the Thevenin equivalent with respect to the terminals a, b for the circuit(Figure 1)if v = 300 V, i = 17 A Figure 1 of 1 i 30 22 812 5.212 ww 12 12 b Copyright © 2022 Pearson Education Inc. All right

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(a) What is the maximum current in a 7.00-WF capacitor when it is connected across a North American electrical outlet having av ms - 120 V and I - 60.0 Hz? MA (6) What is the maximum current in a 7.00-F capactor when it is connected across a European electrical outlet having aims - 240 Vand / -50.0 ? MA Need Help? Read

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Part A The current in a 200 mH Inductaris i = 75 mA, t<0; i - (B, Cos 200++D, sin 200t) e 50e A, > 0, where t is in seconds. The voltage across the Inductor (passive sign convention) is 425 V at t = 0. Calculate the power at the terminals of the inductor at t = 27 ms Express your answer to three significant figures and include the appropriate units. ? Pa Value Units Submit Request Answer Part B State whether the inductor is absorbing or delivering power. The inductor is delivering power The inductor is absorbing power Submit Request Answer

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Part A A series RLC circuit consists of a 502 resistor, a 2.6 mH inductor, and a 610 nF capacitor. It is connected to an oscillator with a peak voltage of 5.6 V Determine the impedance at frequency 3000 Hz. You may want to review (Pages 915 - 918). O A20 ? 12 Submit Request Answer Part B Determine the peak current at frequency 3000 Hz. 9 A2 ? A

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AC Circuits Solutions

Annex A 3 Foo 1. Circuit data. Item Value Resistance of inductor 12 164 Resistance of nominal 1 K22 resistor 12 1050 H Inductance of inductor (using the impedance meter) 4.97 0.729ur 6.729x1806 Capacitance of the capacitor (using the impedance meter) Maximum input (driving) voltage V Graph out the output voluge for the resistance used The graphs should display the output voltage as data points Vs the angular frequency) 2. Measured frequency response. Frequency rms voltage Input from Function Output from resistor Generator Frequency (hertz) Angular Frequency (radians/seconds) 0.96 10 20 62.8 125.6 188.4 251.2 30 7.39 7.39 7.39 7.39 1.39 0.40 9.68 0.085 0.81 1.32 1.90 2.21 2.65 40 45 282.6 50 314 7.39 55 345.4 7.39 7,39 3.19 3.62 60 376.8 4.97 63 W = 20 f = ax 3,14 xf =