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Only need the last question 5 thanks! 3) RLC Parallel Circuits: Differential Equations and Laplace U2...
3) RLC Parallel Circu its: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 CL1 R1 0.15H C1 2E-8F 1 10E-3 2 J...
3) RLC Parallel Circu its: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 CL1 R1 0.15H C1 2E-8F 1 10E-3 2 J 10E-3 Att-0, U1 closes and U2 opens. 3.1: What is the intial (t-0+) current through the capacitor? What is the inital (t-0+) voltage across the capacitor? 3.2: What is the DC steady state current though the capacitor as t goes to infinity? 3.3: Find the current through the CAPACITOR as a function of time for R...
4) RLC parallel circuits R1 R2 500 1E-2 1E-8 U2 1500 In the above circuit, the...
4) RLC parallel circuits R1 R2 500 1E-2 1E-8 U2 1500 In the above circuit, the source turns on at t-0 with a voltage of 10V. Additionally, switch U1 is closed and switch U2 is open. At 15E-6 s switch U1 opens and switch U2 closes. The source also tuns off at 15E-6 s a. Use Laplace analysis to determine the voltage across the capacitor as a function of time for 0<t< 15E-6 (s) b. Use Laplace analysis to determine...
In the circuit shown below in Figure #2, Switch U2 is normally closed and Switch U1...
In the circuit shown below in Figure #2, Switch U2 is normally
closed and Switch U1 is normally open. At t= 0 seconds switch U1
closes. After 100 milli-seconds have passed, switch U2 opens.
Assume the inductor has zero current at t=0 - (before switch U1
closes). Determine the following:
a) Rth and τ when switch U1 closes.
b) Rth and τ when switch U2 opens.
c) the equation for the current through the inductor during the
charge cycle.
d)...
An RLC circuit has an initial voltage across the capacitor and polarity as marked on the...
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...
2) RLC series circuits R1 1m 2 1E-6 V1 C1 1E-12 TR = Ở TF 0...
2) RLC series circuits R1 1m 2 1E-6 V1 C1 1E-12 TR = Ở TF 0 PW = 1 PER = 2 In the above circuit, the voltage source is 5V for t<0 and 10V for t>0 2.1: Draw the s-domain equivalent circuit. Include the intial conditions in your s-domain circuit. Label your component values using symbolic notation (eg. sL1). 2.2: Using impedances, determine the transfer function for the voltage across C1. Use symbolic numbers in your expression. 2.3: Using...
3) RLC Series Circuits R2 20k R3 ww 10k R1 ww 3k L1 2E-3 R5 R4...
3) RLC Series Circuits R2 20k R3 ww 10k R1 ww 3k L1 2E-3 R5 R4 4k TD 8k TR TF 0 PW = PER 2 C1 2E-9 In the above circuit, the initial conditions are zero and the source can be considered a step function, 5u(t) 3.1: Determine and draw the simplified circuit schematic. (Hint: Thevenin equivalent with inductor and capacitor as a load...and yes, two (or more) components can be a load!) 3.2: What is the initial (t...
1. Use Laplace Transforms to determine the function modeling the current in an RLC circuit with L 10 Henries, R 20 ohms...
1. Use Laplace Transforms to determine the function modeling the current in an RLC circuit with L 10 Henries, R 20 ohms, C = 0.02 Farads, the initial charge is Q(0) = 0, the initial current is I(0) = 0, there is an electromotive force forcing the RLC circuit via the voltage function E(t) letting the current alternate naturally through the circuit. Use the fact the differential 10 sin (t), nd then, at t = 2T seconds, the battery is...
1) (40 pts total) Solving and order ODE using Laplace Transforms: Consider a series RLC circuit...
1) (40 pts total) Solving and order ODE using Laplace Transforms: Consider a series RLC circuit with resistor R, inductor L, and a capacitor C in series. The same current i(t) flows through R, L, and C. The voltage source v(t) is removed at t=0, but current continues to flow through the circuit for some time. We wish to find the natural response of this series RLC circuit, and find an equation for i(t). Using KVL and differentiating the equation...
Circuits Spring 2019Name Homework 13 ECSE-2010 Problem 1) Multiple regions, first order L1 R1 100 1E-2...
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...
PLEASE HELP 5. (Five points) Consider an RLC circuit for which an inductor of L-1 H...
PLEASE HELP
5. (Five points) Consider an RLC circuit for which an inductor of L-1 H and capacitor C= 0.1 F are present. For the given forcing function f (t), use the Laplace transforms to determine the charge Q (t) and current I (t) in the circuit at time t if initially(0)-0 and I (0) 0. Determine the charge and current in the case when R-8 and f (t) 10e. Show all your work solving this equation
3) RLC Parallel Circu its: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 CL1 R1 0.15H C1 2E-8F 1 10E-3 2 J 10E-3 Att-0, U1 closes and U2 opens. 3.1: What is the intial (t-0+) current through the capacitor? What is the inital (t-0+) voltage across the capacitor? 3.2: What is the DC steady state current though the capacitor as t goes to infinity? 3.3: Find the current through the CAPACITOR as a function of time for R...
4) RLC parallel circuits R1 R2 500 1E-2 1E-8 U2 1500 In the above circuit, the source turns on at t-0 with a voltage of 10V. Additionally, switch U1 is closed and switch U2 is open. At 15E-6 s switch U1 opens and switch U2 closes. The source also tuns off at 15E-6 s a. Use Laplace analysis to determine the voltage across the capacitor as a function of time for 0<t< 15E-6 (s) b. Use Laplace analysis to determine...
In the circuit shown below in Figure #2, Switch U2 is normally
closed and Switch U1 is normally open. At t= 0 seconds switch U1
closes. After 100 milli-seconds have passed, switch U2 opens.
Assume the inductor has zero current at t=0 - (before switch U1
closes). Determine the following:
a) Rth and τ when switch U1 closes.
b) Rth and τ when switch U2 opens.
c) the equation for the current through the inductor during the
charge cycle.
d)...
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...
2) RLC series circuits R1 1m 2 1E-6 V1 C1 1E-12 TR = Ở TF 0 PW = 1 PER = 2 In the above circuit, the voltage source is 5V for t<0 and 10V for t>0 2.1: Draw the s-domain equivalent circuit. Include the intial conditions in your s-domain circuit. Label your component values using symbolic notation (eg. sL1). 2.2: Using impedances, determine the transfer function for the voltage across C1. Use symbolic numbers in your expression. 2.3: Using...
3) RLC Series Circuits R2 20k R3 ww 10k R1 ww 3k L1 2E-3 R5 R4 4k TD 8k TR TF 0 PW = PER 2 C1 2E-9 In the above circuit, the initial conditions are zero and the source can be considered a step function, 5u(t) 3.1: Determine and draw the simplified circuit schematic. (Hint: Thevenin equivalent with inductor and capacitor as a load...and yes, two (or more) components can be a load!) 3.2: What is the initial (t...
1. Use Laplace Transforms to determine the function modeling the current in an RLC circuit with L 10 Henries, R 20 ohms, C = 0.02 Farads, the initial charge is Q(0) = 0, the initial current is I(0) = 0, there is an electromotive force forcing the RLC circuit via the voltage function E(t) letting the current alternate naturally through the circuit. Use the fact the differential 10 sin (t), nd then, at t = 2T seconds, the battery is...
1) (40 pts total) Solving and order ODE using Laplace Transforms: Consider a series RLC circuit with resistor R, inductor L, and a capacitor C in series. The same current i(t) flows through R, L, and C. The voltage source v(t) is removed at t=0, but current continues to flow through the circuit for some time. We wish to find the natural response of this series RLC circuit, and find an equation for i(t). Using KVL and differentiating the equation...
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...
PLEASE HELP
5. (Five points) Consider an RLC circuit for which an inductor of L-1 H and capacitor C= 0.1 F are present. For the given forcing function f (t), use the Laplace transforms to determine the charge Q (t) and current I (t) in the circuit at time t if initially(0)-0 and I (0) 0. Determine the charge and current in the case when R-8 and f (t) 10e. Show all your work solving this equation
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