6. CAPACITORS IN COMBINATION-CRITICAL THINKING Compute the equivalent capacitance of the following circuit, given: HF HF Hola C₁ = 4 µF C₂ = 1 µF C3= 1 µF C4 = 2 μF VBAT 21 V Ceq= HF For each capacitor in the original circuit calculate the charge in it, voltage drop across it, and stored energy. Place your answers in the following table. Capacitor 1 2 3 dh Charge UC UC UC με Voltage V V Stored Energy P E E E
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- 4. In what form is the energy of a capacitor stored?A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted between the plates without changing the spacing, and the capacitance becomes 15 F. What is the dielectric constant of this material?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 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.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.You are a journeyman electrician working in an industrial plant. Your task is to connect an inductor to a 480-V, 60-Hz line. To determine the proper conductor and fuse size for this installation, you need to know the amount of current the inductor will draw from the line. The nameplate on the inductor indicates that it has an inductance of 0.1 H. An ohmmeter reveals that it has a wire resistance of 10 . How much current should this inductor draw when connected to the line?
- A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating of 600 WVDC. The capacitor and resistor are connected to a 480-V, 60-Hz circuit. Is the voltage rating of the capacitor sufficient for this connection?Determine the total capacitance, total charge, individual voltage drop and charges across each capacitor. Use two decimal places for your answer. Put your answer for the individual voltage and charge for each capacitor in a table for faster checking. Thank you! Here are the values for the capacitors: C1 = 55 C6 = 50 C2 = 25 C7 = 17 C3 = 49 C8 = 44 C4 = 22 C9 = 53 C5 = 45 C10 = 44a) Obtain the equivalent capacitance in pF b) Determine the charge Q1, Q2, and Q4 (nC) at the capacitor C1, C2, and C4 c) Solve the voltage (V) across C1, C2, C3, C4 (USE 2 DECIMAL PLACES FOR THE FINAL ANSWERS)
- 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 FaradsThe 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 2uFThe network Nc shown below in Figure 1.99(a) contains a combination of scaled capaci- tors in series and parallel connections. Using the vahues as shown, you are asked to do the following. (a) Calculate the value of the terminal capacitance Cab at terminals a-b. (b) To obtain an equivalent capacitance Ceq of 1.5F, Nc is to be placed either in series with a capacitance Cz as shown in Figure 1.99(b) or in parallel with Cx as shown in Figure 1.99(c). Determine which connection is correct and calculate the value of C; that will produce the value of 1.5F for Ceg- 4F 2F 3F 1F C OF (a) N. N. 2. (b) (c) Figure 1.99 (a) Capacitor combo Nc (b) Nc in series with C, (c) Ne in parallel with C,