Question 1 Consider the circuit that is shown in Figure 1. 1) Please find the Thevenin's equivalent circuit with respect to terminals a and b; 2) Please find the node voltage vo(t); 3) Please find the time dependent function of the current through the capacitor for t≥ 0s; 4) Please determine the initial energy stored in the capacitor at t=0
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- An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in parallel. The circuit is connected to a 240-V, 400-Hz power supply. Find the following values. XL=XC=IR=AIL=AIC=AP=WVARsL=VARsC=IT=AVA=PF=%=You are an electrician working in an industrial plant. You discover that the problem with a certain machine is a defective capacitor. The capacitor is connected to a 240-volt AC circuit. The information on the capacitor reveals that it has a capacitance value of 10 mF and a voltage rating of 240 VAC. The only 10-mF AC capacitor in the storeroom is marked with a voltage rating of 350 WVDC. Can this capacitor be used to replace the defective capacitor? Explain your answer.Consider the circuit shown below, with an initially uncharged capacitor C and two identical resistors R. R O www V I C I₂ R C R At the instant the switch is closed, the current through the capacitor will be: zero At the instant the switch is closed, the current through the right-side resistor will be: V/R, directed Up After the switch has been closed for a very long time, it is opened. The current through the right-side resistor will be V/R, directed Down The switch is closed at t = 0. At t = ~ (long after) the current through the right-side resistor will be: V/2R, directed Down ✓ The switch is closed at t = 0. At t = ~ (long after) the current through the capacitor will be: V/2R, directed Up After the switch has been closed for a very long time, it is ope ed. The current through the be? V/R, directed Down pacitor will
- A resistor and a capacitance are connected in series to an emf source. The time constant of the circuit is 0.87 s. What will be the 35 - time constant of the new circuit when another capacitor identical to the first is connected in series with the circuit? O a) 0.973s O B) 1,742 s O C) 2.034 s O D) 2.136 s O TO) 0.435 sThe figure below shows a simple RC circuit with a 3.30-μF capacitor, a 4.40-M resistor, a 9.00-V emf, and a switch. What are the following exactly 9.00 s after the switch is closed? (a) the charge on the capacitor 13.7204 UC (b) the current in the resistor 0.0110522 x Your response is off by a multiple of ten. HA (c) the rate at which the capacitor is storing energy μW (d) the rate at which the battery is delivering energy μW- 0.05- The circuit shown in the figure consists of resistance, capacitance and inductance in series with a 100V source when the switch is closed at t = 0. Find the equation obtained from the circuit in terms of current. 0.OSH 100v `20uF a) 100 = 201 + 0.05 4 + di 10- S idt dt 20x10- b) 100 = 201 – 0.05 + 20x10-S tdt de c) 100 = 201 + 0.05 t di 1 20x10-S idt de d) 100 = 201 di 20x10-J idt
- 9) Switch S1 closes at t=0. What is the final voltage across the capacitor? What is the current through the capacitor at t=0? How long does it take the capacitor to reach it’s final voltage?4) Based on the circuit to the right answer the folowing questions. SHOW ALL WORK Switch is closed for the capcitors STEADY STATE (a) The equivalent capacitance and resistance is (0) 20UF c2 () () (iv) 26ul, 19KQ 5.0uF,6.0k2 25pF, 3 0ko 15uF.14ko 12V C3 TRI 12k0 R2 R3The capacitor in the circuit is initially uncharged and the switch S is suddenly closed at t=0. Find the current on resistor R: at to Take R₁-4R and R 3R. A) = B) 6 25 D) E) SIA R₂ FF R₁
- A 100 µF capacitor is connected in series with a 500 V DC voltmeter across a 400 V DC supply. The voltmeter has a resistance of 1000 Ω/V. Determine the time, in seconds, represented by one time constant for this RC series circuit. Determine the voltage across the capacitor planes at the end of one time constant when the capacitor is on charge1-10 In your own words, describe the functionality and purpose of RC circuits. 1-11 True or false: In an RC circuit, the capacitor voltage charges and discharges linearly as time passes. A. True B. False 1-12 An RC circuit consists of a 100 kO resistor and a 3000 µF capacitor. What is the RC time constant for this circuit (in seconds)?In the circuit shown in Figure, the switch S is closed at time t = 0. the voltage across the inductance at t = 0+ 3.02 10V A) 2V B 4V c) -6V D) 8V S 4F 492 HIMM WWW 49 ell