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Analyzing a Series RLC Circuit A series RLC circuit has R-420 Ω, L = 1.10 H, C = 3.6 μF. It is connected to an AC source with f= 60.0 Hz and ΔⅤmax = 150 V. SOLVE IT (A) Determine the inductive reactance, the capacitive reactance, and the impedance of the circuit. Conceptualize: The circuit of interest in this example is shown in the figure. The current in the combination of the resistor, inductor, and capacitor oscillates at a particular phase angle with respect to the applied voltage. A series circuit consisting of a resistor, an inductor, and a capacitor connected to an AC source Categorize: The circuit is a simple series RLC circuit, so we can use the approach discussed in this section. Analyze: Find the angular frequency: a) = 2㎡=2r(60.0 Hz) = 376.99 rad/s (377 rad/s)(1.10 H) Use the following equation to find the inductive reactance: XL = ω 414.7 1 Use the following equation to find the capacitive reactance: wC (377 rad/s)(3.60 x 106 F) Ω X-= 736.811 Z = V R2 + (XL-XC) Use the following equation to find the impedance: 2 z-V (420 Ω)2 + (414.48 Ω-737.20 Ω)2 Z= 529.67

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In a purely inductive AC circuit, L = 20.0 mH and the rms voltage is 220 V. Calculate the inductive reactance and rms current in the circuit if the frequency is 60.0 Hz. Conceptualize The figure shows the physical situation for this problem. Categorize We evaluate the reactance and the current from equations developed in this section, so we categorize this example as a substitution problem. Use the following equation to find the inductive reactance: Use an rms version of the equation for the maximum current in an inductor to find the rms current: What if the frequency is now 550 Hz, and the maximum voltage (not rms) is 220 V? Find the rms current in the circuit. /rms= 20.63 Follow the example closely. What is the rms voltage now? Your response differs from the correct answer by more than 100%.

EXPERT ANSWER Note that XL = 2 pi f L Thus, XL = 69.115 ohm As Vrms = Vmax/sqrt(2) = 155.56 V Then Irms = Vrms / XL Irms = 2.25 A   [ANSWER]

When a particular inductor is connected to a source of sinusoidally varying emf with constant amplitude and a frequency of 68.5 Hz, the rms current is 3.10 A. (i) What is the rms current if the source frequency is doubled? 12.4 A 6.20 A 4.38 A 3.10 A 1.55 A (ii) Repeat part (i) assuming the load is a capacitor instead of an inductor 12.4 A 6.20 A 4.38 A 3.10 A 1.55 A (iii) Repeat part (i) assuming the load is a resistor instead of an inductor 12.4 A 6.20 A 4.38 A 3.10 A 1.55 A Need Help? Talk to a Tutor

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QUESTION 43 A psychologist wants to know the effect of time spent studying on test performance. To do this, one group was told to study regularly for several days before an exam. The other group was told to study only the night before the exam. The researcher then compared the test performance of the two group. In this experiment, what is the independent variable? DA. The intelligence of the students in the study B. The exam scores Student anxiety levels before and after the exam D. How long the students studied

EXPERT ANSWER Answer: D. How long the students studied Explanation: Independent Variable: A variable which is the input of the experiment is called an independent variable. This variable can be manipulated by the experimenter. This variable will influence the whole experiment. In the above-given case, one group of participants studied several days before the exam. Another …

QUESTION 43 A psychologist wants to know the effect of time spent studying on test performance. To do this, one group was told to study regularly for several days before an exam. The other group was told to study only the night before the exam. The researcher then compared the test performance of the two group. In this experiment, what is the independent variable? DA. The intelligence of the students in the study B. The exam scores Student anxiety levels before and after the exam D. How long the students studied Read More »

QUESTION 5 Alcohol consumption sympathetic nervous system activity because it acts as a GABA agonist. A. does not influence B. decreases C. increases D. All of responses are correct, it depends on the amount of alcohol consumed

EXPERT ANSWER Alcohol consumption decreases sympathetic nervous system activity because it acts as a GABA agonist. Correct Answer : B.Decreases Explanation: Alcohol consumption decreases the sympathetic nervous system activity. GABA (Gamma AminoButyric Acid) is a chemical messenger / inhibitory neurotransmitter which reduces the activity of the neurons. Substances which stimulates GABA receptors will decrease the sympathetic outflow and …

QUESTION 5 Alcohol consumption sympathetic nervous system activity because it acts as a GABA agonist. A. does not influence B. decreases C. increases D. All of responses are correct, it depends on the amount of alcohol consumed Read More »

A burst of 1 times 10^9 neutrons from a pulsed accelerator is introduced into a subcritical assembly consisting of an array of natural uranium rods in water. The system has a multiplication factor of 0.968. Approximately 80% of the incident neutrons are absorbed in uranium, (a) How many first-generation fissions do the neutrons produce in the assembly? (b) What is the total fission energy in joules released in the assembly by the neutron burst? Assuming a recoverable energy per fission of 200 MeV, calculate the fuel bumup and consumption rates in g/MWd for (a) thermal reactors fueled with^233U or^239Pu; (b) fast reactors fueled with^239Pu. It is proposed to produce 25 kg of 90 w/o for a nuclear weapon by enriching 20 w/o fuel from a research reactor, (a) How much fresh reactor fuel would be required? (b) Compute the total SWU required, (c) Compare the SWU/kg required to produce 20 w/o fuel starting from natural uranium with the SWU/kg for 90 w/o material beginning at 20 w/o.

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