4. The current through a 1 µF capacitor is shown below. At t = 0, the voltage is zero. Sketch the voltage, power, and stored energy to scale versus time. + v(t) o i(t) (a) C= 1 μF i(t) (mA) 20 -20- 2 3 (b) t (ms)
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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.Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 - Hz power line. An ammeter indicates a circuit current of 8.6 amperes. How much current is flowing through the 40F capacitor?You are working in an industrial plant. You have been instructed to double the capacitance connected to a machine. The markings on the capacitor, however, are not visible. The capacitor is connected to 560 volts and an ammeter indicates a current of 6 amperes flowing to the capacitor. What size capacitor should be connected in parallel with the existing capacitor? What is the minimum AC voltage rating of the new capacitor? What is the minimum DC voltage rating of the new capacitor? What is the minimum KVAR size that can be used in this installation?
- You find that a 25-F capacitor connected to 480 VAC is defective. The storeroom has no capacitors with a 480-VAC rating. However, you find two capacitors rated at 50 F and 370 VAC. Can these two capacitors be connected in such a manner that they can replace the defective capacitor? If yes, explain how they are connected and why the capacitors will not be damaged by the lower voltage rating. If no, explain why they cannot be used without damaging the capacitor.The current in a 20 mH inductor has the waveform shown in Figure Q1(c). Draw the waveform for the inductor voltage. i(t) (mA) 20 – 2 t (ms) Figure Q1(c)1. A 2F capacitor is connected in series with a diode and a 60 resistor. The voltage of the battery is 9V. The forward voltage drop of the diode is 0.7V. Flip to close the switch at t=0. Determine the voltage and current of the capacitor at t=0, t=12s, t=24s, and t=36s. (The following table may help you with this question. Feel free to use this table (or not).) Vc VR I R1 60 H Time=0 Time=12s Time=24s Time=36s
- (VD₂ = Determine the voltage across each capacitor in the circuit figure below. 0.68 V, VD₂ 0.56 V) = 240 V rms 50 Hz 1:1 ooooo elele C₁ H 1μF D₁ HE D₂ .C₂ 1 μF5. 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 amperes. Ans. 0.05 FaradsA 4.7 Micro-Farad capacitor is in series with a 470 K-Ohm resistor with a 12V power supply. How long will it take for the capacitor to fully charge? OA 4.7 sec O B. Cannot be determined O.11 sec O D.470 ms O E. very quickly, it cannot be seen
- 2. Before the switch is closed, there is no charge on the capacitor. Find R, if the capacitor reaches potential difference of 4.00 V in time interval of 3.00 s after the switch closes. Work in symbolic form first (use appropriate symbols). 10.0V RThe following figure represents an RC-Circuit with the switch. In Figure A, the capacitor is initially uncharged. In Figure B, the capacitor is initially fully charged. 1) Draw and label the current direction immediately after the switch is closed for each figure. 2) Consider Figure A. What is the voltage across the capacitor as t → 0? Explain. 3) Consider Figure B. Is the voltage across the resistor increasing, decreasing or staying the same as t → 0? Explain. A) B) R CConsider the circuit in figure given below: A B The capacitor C is initially charged. At time 0, the switch is connected from A to B and the voltage across the capacitor is measured. The following data are recorded by a data acquisition system: t(s) 0.0 0.1 0.2 0.3 0.4 0.5 V(V) 4.98 1.84 0.68 0.25 0.09 0.03 (a) Determine the linear correlation coefficient betweent and V. (b) Determine the linear correlation coefficient between t and In(V).