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- 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.A 20-ohm resistor and a capacitor are connected in series with a battery of 60 volts. At t = 0, there is no charge on the capacitor. Find the capacitance if the current at t = 5 seconds is 3/e^s amperes. Ans. 0.05 FaradsAn inductor is "charged" to some value, then connected in series with a 1002 resistor and allowed to "discharge". A measurement of the potential difference across the resistor is shown in the figure below. Compute the time constant of the circuit, the inductance of the inductor, and the initial current through the inductor. 12 10 8 6 Potential across resistor (V) 2 0 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 time (s)
- . In the adjacent figure each of the two capacitors mounted in parallel has a value C,the resistor has a value R, and the power supply has value ɛ= 25 V. Upon closing thekey S the charging process of the two capacitors starts. The initial value of the electriccurrent was I0 = 25 mA, as shown in the table below, then the electric currentdecreased until it vanished at . The table below shows the values of the electriccurrent every two seconds as measured by the ammeter A.a) Determine the value R of the resistor in k ohm units.b)Plot the I-t graph (electric current versus time).c)Determine the circuit constant time from the I-t graph.d)Determine the value C of each capacitor in micro F units.e)Complete the table by evaluating the electric charge q(t) on eachcapacitor at the moments .What is the value of the induced voltage of the self-inductance when the rate of current is from 200 uA to 20 uA and the total time interval is 5 uS?a) With switch J2 open, close switch J1. Estimate the time it takes to do it. Obtain the equations for the voltage and current of the capacitor. Determine the energy stored by the capacitor. b) Open switch J1, close switch J2. Estimate the time it takes to do it. Obtain the equations for the voltage and current of the capacitor.
- The parallel capacitor combination shown in the figure is connected across a 12 V source. Determine the following: a. equivalent capacitance Ceq b. the charge on the combination. c. the work needed to carry the charge across 1uF + 12V 3uF 2uFA. Find the equivalent capacitance of the combination shown in the figure. (C2 = 2µF, C3 = 3µF) B. Determine the charge on each capacitor, if there is a potential difference of 900V C. Determine the voltages across each capacitorThe figure displays two circuits with a charged capacitor that is to be discharged through a resistor when a switch is closed. In figure (a) below, R₁ = 23.32 and C₁ = 5.04 μF. In figure (b) below, R2 = 10.82 and C₂ = 8.10 μF. The ratio of the initial charges on the two capacitors is 902/901 = 1.61. At time t = 0, both switches are closed. At what time t do the two capacitors have the same charge? 0.0 (a) (b) Number i Units
- Describe the behavior of the voltage across the resistor with time as thecapacitor charges. Explain the reason for this behavior.1. Find the voltages across the following components (a and b) after 1 second. The Capacitor is initially charged at 10V while the voltage source is 1V. Resistor R is 103 ohm while capacitor C is 1mF. a. Capacitor C b. Resistor R c. What is the best 1st order DE Method applicable to this problem?When the switch is in position 2, the circuit will discharge the capacitor. Draw the circuit for the discharge phase. (without any of the charge phase components). and determine the time constant for the discharge phase and the equations for v(t) and i(t) for the discharge phase.