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- Assume that the voltage drop across the resistor, ER, is 78 V; the voltage drop across the capacitor, EC, is 104 V; and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. Find the missing values. ET ER78V EC104V IT IR IC Z20 R XC VA P VARSC PF CAssume that the voltage drop across the resistor, ER, is 78 V, that the voltage drop across the inductor, EL, is 104 V, and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. ETITZ20VAPFER78VIRRPEL104VILXLVARsLLThe voltage across a 100-μF capacitor takes thefollowing values. Calculate the expression for thecurrent through the capacitor in each case.a. vC(t) = 40 cos(20t − π/2) Vb. vC(t) = 20 sin 100t Vc. vC(t) = −60 sin(80t + π/6) Vd. vC(t) = 30 cos(100t + π/4) V
- The 0.1μF capacitor in the circuit shown is charged to 100 V. Att=0 the capacitor is discharged through a series combination of a 100 mHinductor and a 560Ω resistor.1. Find i(t) for t≥0.2. Find vC(t) for t≥0.For the circuit shown, determine the energy stored in the inductor. The component values are VS = 11 V, R1 = 9 Ω, R2 = 4 Ω, R3 = 8 Ω, C = 0.161 F, L = 0.01A 1-F capacitor and initially starts with vC(0) = 0V. (a) Determine iC(t) when vC(t) = x(t), where vC(t) has units of V. (b) Determine vC(t) when iC(t) = x(t), where iC(t) has units of A. Hint: don’t forget the initial conditions. Answer: (0, 4, −4, 0)A, 0V, (2t2−4t+2)V, (−2t2+12t−14)V, 4
- The initial value of the voltage v in the circuit is zero,and the initial value of the capacitor current, ic(0+), is 45 mA. Theexpression for the capacitor current is known to beic(t)=A1e−200t+A2e−800t, t≥0+,when R is 250 Ω. Find1. the values of α, ω0, L, C, A1, and A2(Hint:diC(0+)dt=−diL(0+)dt−diR(0+)dt=−v(0)L−1RiC(0+)C)1. the expression for v(t), t≥0,2. the expression for iR(t)≥0,3. the expression for iL(t)≥0The circuit parameters in the circuit are R=4800 Ω, L=64 mH, C=4 nF, and vg=−72 V.1. Express vo(t) numerically for t≥0.2. How many microseconds after the switch opens is the inductorvoltage maximum?3. What is the maximum value of the inductor voltage?4. Repeat (a)–(c) with R reduced to 480 ΩA 137 pF capacitor is connected to a voltage source such that Vc(t)=12e^-2t V, t>=0 and Vc(t)=12V for t<0. Calculate the energy stored in the capacitor at t equal to 500 ms
- 1. A source voltage of an AC series RLC circuit is 120 V. The circuit consists of the ff. quantities: R = 20 Ω, XL = 40 Ω, and XC = 40 Ω. The circuit current (in amperes) is Blank 1. 2. A 9 µF capacitor is in parallel with 3 µF capacitor. If the parallel capacitors is in series with an 8 µF capacitor, the value of total capacitance of the series-parallel connected capacitors is Blank 1.An RLC series circuit contains an unknown capacitor, an inductor with an inductance of 40 mH, and a resistor with a value of 16 Ω. The circuit is connected to a 240-V, 60-Hz line. If a current of 8 A flows in the circuit, determine the value ofthe unknown capacitor? Show your work. a) 2.575 uF b) 25.75 uF c) 257.5 uF d) 2575 uFA series circuit has a capacitor of 1.5625x10^(-8)F a resistor of 2x10^4 ohms, and an inductor of 1H. If the initial charge on the capacitor is zero,. if a 12-volt battery is connected to the circuit and the circuit is closed at t=0, determine the charge on the capacitor at any time t