Problem 1. Find V (t) in the following circuit: 1H 6 Sin 2t A 1/6 F www H + v (t) www 2 5 Cos 21 A
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- 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=%=In the circuit shown in Figure, the switch S is closed at time t = 0. the voltage across the inductance at t = 0+ 3.02 10V A) 2V B 4V c) -6V D) 8V S 4F 492 HIMM WWW 49 ella 20mH inductor draws a current of i(t) = 100 sin(100t). Find the voltage %3D equation 200 sin100t 200 cos100t 2000 sin100t 2000 cos100t
- In the circuit shown in Figure, the switch S is closed at time t = 0. the voltage across the inductance at t = 0+ 352 10V A) 2V B) 4V C) -6V D 8V S m HIMM 112 4F ΔΩ 000A 0.7-H inductor 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 current / in the circuit at any time t. O A. di dt O B. di 8 dt O C. di dt OD. di dt 90 + -i = 7 + + + 110 7 7 110 7 90 1 = i = i = 110 7 90 7 90 7 110Q 1. Find the unit-step response for the system sown in the figure. RS). T= 1Sec S(stI) 1/5
- 6. The waveform of the current in a 40mH inductor is shown in following Figure. Find the waveform of the inductor voltage. i(t) mA 4 10 -10 2 √141= -400 mu 400 md 400 mu -toomd 3 4 5 cetelus istszus 2stc3ms 31+64thl 4steśms 6 t (ms)The figure below shows a simple RC circuit with a 3.30-μF capacitor, a 4.40-M resistor, a 9.00-V emf, and a switch. What are the following exactly 9.00 s after the switch is closed? (a) the charge on the capacitor 13.7204 UC (b) the current in the resistor 0.0110522 x Your response is off by a multiple of ten. HA (c) the rate at which the capacitor is storing energy μW (d) the rate at which the battery is delivering energy μWThe circuit in figure 1 is operating in the sinusoidal steady state. Find the steady state response Vx(1) C1 HH 2uF Icos(25001) A R2 2000 R1: 2000 Figure 1
- For the circuit shown in Figure Q2, determine the followi (a) The current in the inductors L1 and L2. (b) The voltage across the capacitors Cl and C2. (c) The total energy stored in the circuit. (d) The total power supplied by the source. 30V II RI -000-m 20mH 1052 50mH 2 R2 2002 300µF -000 30ml 91 300µF CI 600 μF R3 30Ω C39. Recall that Kirchhoff's laws help to get the current in circuits. Consider the following circuit: L R I(t) C +q(t) -q(t) Ignore the alternating power for this problem. a) What is the voltage over the resistor if it has a resistance of R ohms and the current is I ampere? b) What is the voltage over the capacitor if the capacitance is C and the charge on the capacitor is q. c) What is the voltage over the inductor if it has an inductance of L Henry? The answer must be in a form of a differential equation.Select all correct statement(s):1, The equivalent resistance for resistors in parallel is the harmonic mean of all resistors;2, The equivalent capacitance for capacitors in series is the sum of all capacitors;3, The equivalent inductance for inductors in series is the sum of all resistors.32None of them is correct1