For the circuit shown, what is the first order derivative of the voltage across the capacitor...
6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at t-o. (a) Convert the circuit its Laplace equivalent at t >0, if ILO)-2A and vc (0)-6V. b) Find the capacitor voltage, Ve (s) in the frequency domain (c) Solve Ve (t) in the time domain. Switch L= 5H t-o 15V (0 ) = 2A V (o =6V 0.1F 6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at...
Circuits Spring 2019Name Homework 13 ECSE-2010 Problem 1) Multiple regions, first order L1 R1 100 1E-2 C1 1E-4 R2 100 In the above circuit, Vs-5u(t) Switch U1 is closed at t 0 and opens at t- 15ms Switch U2 is open at t 0 and closes at t- 15ms a. Determine the initial conditions, Vc(0) and dVc(0)/dt. b. Determine the particular solution, Vcp(t) for 0 t< 15ms. c. Determine the voltage across the capacitor, Vc(t), for 0t<15ms. d. Determine the...
1. Consider the circuit shown below which shows a battery connected to some resistors battery is along with some switches which will be toggled opened or closed at different times. The a15V battery. Resistor R1 is 100?, R2 is 200?, and Cl is 110 ?F, C2 is 80 ?F, and C3 is A stopwatch is started at time t1-0 ms. At that time, switch S1 is closed and all other switches are open and the capacitor is allowed to charge...
Derive a solution for the voltage across the capacitor C1 in Fig. 1 as a function of time from t 0 ms to t 125 ms if the switches are controlled as shown in Fig. 2. The initial capacitor voltage is -9 V. Show all of your work. 1. S4 R3 R1 S1 V1+ C1+ R2 V2+ yti Fig. 1. Switched RC circuit. V1-9 V, V2--15 V, R14.7 k2, R2-3.3 kQ, R3 2.2
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after the switch closes. b) v), the voltage across the capacitor after the switch has been closed for a long time. c) v(T), the voltage across the capacitor after one time constant. 2. 3 S2 I(t) 12 V+ 6 Ω 0.5 F u(t) 3. For the circuit above, write the differential equation for t > 0.
An RLC circuit has an initial voltage across the capacitor and polarity as marked on the circuit shown below. The switch is closed at t = 0 and a current i(t) is assumed to flow clockwise in the circuit. Determine which expression correctly represents the Laplace-transformed value of current, i(s). Note that the coefficient of the highest power of s in the denominator may have to be made unity. (TCO 2) An RLC circuit has an initial voltage across the...
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and the charge stored on the capacitor is 0. At t-0 the switch is closed, and the voltage source begins charging the capacitor. Let R1-R2-220 Ω , C-0.47 μ F , Vs-5 V. (a) Write the differential equation as an expression for the capacitor voltage fort> 0 (i.e. write the differential equation) and calculate the time constant (b) Calculate the steady-state capacitor voltage R2 R1...
A circuit is constructed with two resistors and one inductor as shown in the Figure below. The values for the resistors are: R1 = 2.50 and R2 = 4.5 0. The battery voltage is V = 12 V. The switch S is initially open. S R V R2 L 000 1) After the switch has been opened a long time, it is closed. What is the magnitude of the voltage across L immediately after the switch is closed? O 7.7...
A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 67 ?, R3 = 96 ? and R4 = 77 ?. The capacitance is C = 48 ?F and the battery voltage is V = 24 V. Consider the circuit above, with R5 = 67 ? in series with the capacitor. Once again, the switch has been open for a long time when at...
Learning Goal: To analyze an RC circuit to determine the initial voltage across a capacitor, the time constant, and the expression for the natural response of the capacitor voltage, and then to find other circuit quantities such as current,voltage, power, or energy. The natural response of an RC circuit is the response of the capacitor voltage to the sudden removal of a DC source. When this occurs, the capacitor releases its stored energy Figure < 10121〉 t 0 V. Figure...