If the current waveform in Fig. 1 is applied to a 20-μF capacitor, find the voltage v(t) across the capacitor. Assume that v(0) = 0. [Ans: v (t) = [100 t¹² kV, 100 (4t-t² −2)kV, 1
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- Assume that the current flow through the resistor, IR, is 15 A; the current flow through the inductor, IL is 36 A; and the circuit has an apparent power of 10,803 VA. The frequency of the AC voltage is 60 Hz. ET ER EL IT IR15A IL36A Z R XL VA10,803 P VARSL PF LYou 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.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=%=
- If a constant current of 440 µA charges a capacitor of value 2.2 mF, with an initial voltage of 1.25 V, what is the capacitor's final voltage after 10 seconds? a. 4.34 V b. 5.23 V c. 3.25 V d. 2.67 VThe 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)Consider 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).
- The time constant for the circuit is 1.20 s. What is the time t in which the charge on the capacitor reaches 65.0% of its initial charge after the switch is closed.? C -Q FQ S RA 0.7-F capacitor is connected in series with a 9-ohm resistor. If the connection is energized from an 11-V DC source, determine which among the following is a differential equation describing the circuit? Let q be the amount of the charge in the circuit at any time t. O A. dq dt O B. dq dt O C. dq dt O D. dq dt + - 9 + 11 + 63 10 9 11 10 63 = = || 10 63 9 11 63 10 11 9The figure below shows a simple RC circuit with a 3.10-μF capacitor, a 3.60-MQ resistor, a 9.00-V emf, and a switch. What are the following exactly 8.50 s after the switch is closed? (a) the charge on the capacitor μC (b) the current in the resistor μA R (c) the rate at which the capacitor is storing energy μW (d) the rate at which the battery is delivering energy μW
- A 10¯7-F capacitor (100 nanofarads) is charged to 100 V and then disconnected. One can model the charge leakage of the capacitor with a RC circuit with no voltage source and the resistance of the air between the capacitor plates. On a cold dry day, the resistance of the air gap is 3× 103 Q; on a humid day, the resistance is 8 x 10° Q. How long will it take the capacitor voltage to dissipate to half its original value on each day?TRUE or FALSE a. A discontinuous change in the voltage requires an infinite current thus a capacitor resists an abrupt change in the voltage across it. b. The inductor takes power from the circuit when storing energy and delivers power to the circuit when returning previously stored energy.34. An inductor has an inductance of 200 mH and is connected in series with a 1 kΩ resistor to a 24 V DC supply. Find the voltage drop across the resistor after a time equal to three time constants. A. 22.81 V C. 3.248 V B. 20.74 V D. 15.17 V