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- 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?Calculate capacitance Cand voltage U over resistance. What is the peak value of resistance's voltage? Voltage source e(t) = ésin(wt + 45°). Resistance R-50, circuit's total reactance X-50, inductance L =50mH, ê -40V and frequency f =50Hz. R L Give the answers to one decimal place. Do not write numbers in the complex number form! Absolute value of voltage source (RMS value): V Total impedance of circuit (absolute value): Capacitance: μF Absolute value of current (RMS value) supplied by voltage source: Phase angle of current: degrees Peak value of resistances voltage: 22 AA 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 Farads
- 1. What impedance vector 0 – j22 represents:A. A pure resistance.B. A pure inductance.C. A pure capacitance.D. An inductance combined with a resistance.The 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,6) When the frequency of an a.c. circuit containing resistance and capacitance is decreased, the current (a) decreases (b) increases (c) stays the same 7) In a series a.c. circuit the voltage across a pure inductance is 12 V and the voltage across a pure resistance is 5 V. The supply voltage is (a) 13 V (b) 17 V (c) 7 V (d) 2.4 V 8) The impedance of a coil, which has a resistance of X ohms and an inductance of Y henrys, connected across a supply of frequency K Hz, is (a) 2π Κ Υ (b) X + Y (c) √x² + y² (d) √X² + (2nKY)² 9) When a capacitor is connected to an a.c. supply the current (a) leads the voltage by 180° (c) leads the voltage by 1/2 rad (b) is in phase with the voltage (d) lags the voltage by 90° 10) In an R-L-C series a.c. circuit a current of 5 A flows when the supply voltage is 100 V. The phase angle between current and voltage is 60° lagging. Which of the following statements is false? (a) The circuit is effectively inductive (c) The equivalent circuit reactance is 25 2 (b)…
- 6) When the frequency of an a.c. circuit containing resistance and capacitance is decreased, the current (a) decreases (b) increases (c) stays the same 7) In a series a.c. circuit the voltage across a pure inductance is 12 V and the voltage across a pure resistance is 5 V. The supply voltage is (a) 13 V (b) 17 V (c) 7 V (d) 2.4 V 8) The impedance of a coil, which has a resistance of X ohms and an inductance of Y henrys, connected across a supply of frequency K Hz, is (a) 2π Κ Υ (b) X + Y (c) √x² + y² (d) X² + (2nKY)²A variable capacitance and a resistance of 290 2 are connected in series across a 110-V; 60-Hz supply. Draw the complex or locus of impedance and current as the capacitance changes from 6uF to 32 µF. From the diagram, find (a) the capacitance to give a current of 0.6 A and (b) the current when the capacitance is 11 µF.3. A 10ohms resistor and an unknown inductance is connected in series. The series combination is then connected to a 10V DC source. After 1 sec the voltage measured across the inductor is 3V. Find the value the unknown inductance for this condition. Use the false- position method to determine L to a level of Es = 0.1%. Employ initial guess of x₁ = 6 and x₂ = 10
- A series R-L-C circuits consists of resistor of 100 ohms. an inductor of 0. 318H and a capacitor of unknown value. When this circuit is energised by 230 Z 0° V. 50HZ sinusoidal supply. the current was found to be 2.3 20° amperes. Find (i) value of capacitor in microfarad (ii)Voltage across the inductor and (iii)total power consumed.A capacitor C is connected in series with a 400 resistor across a supply of frequency 60 Hz. A current of 3 A flows and the circuit impedance is 500. Calculate: (a) the value of capacitance, C, (b) the supply voltage, (c) the phase angle between the supply voltage and current, (d) the p.d. across the resistor, and (e) the p.d. across the capacitor. Draw the Phasor diagram.:Answer a or b:- a) A variable capacitance and a resistance of 160 2 are connected in series across a 240-V; 50-Hz supply. Draw the complex or locus of impedance and current as the capacitance changes from 4µF to 28 µF. From the diagram, find (a) the capacitance to give a current of 0.6 A and (b) the Curmnt uhon the canacitance is11 uf