For the following circuit, steady state conditions exist at tco. The switch is closed at t-0....
(3) The RL circuit shown in Figure 3 has a switch that is closed att 0. Assume that the circuit has reached steady state prior to the switch closing. You are given R1 1 kQ, R2-10 kQ, R3-R4-100 k2, L 10 mH, Vs-5 V. (a) [15 pts] Calculate the steady-state inductor current before the switch is closed (b) [16 pts] Give the differential equation as an expression of the inductor current fort>0 (i.e. write the differential equation) (c) 13 pts]...
(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.) Consider the circuit below. Assume that the capacitor is fully discharged prior to t=0. The switch is closed at t=0 connecting the voltage source to the rest of the circuit. What is the steady-state value of the voltage across the capacitor, VC(t), after the switch is closed for a long time? Put your answer in the box below, without the units (Volts). b.) What is the time constant, ?, in ?s of the circuit in this question. c.) What...
2. Assume steady-state conditions exist at 0. (a) Find the differential equation for it(t) for t> 0 for the circuit below (b) Find the form of the solution (c) Find the initial conditions (d) Evaluate the coefficients for the solution. 4A 7 A 3. Find the voltage across the capacitor as a function of time. 30Ω 4u(t) A + 5A 3 H 27
Find Vc(t) for t≥0 with the laplace method. Before t=0, the circuit is in steady state. At t=0 the switch sw1 is closed and the switch sw2 moves from a to b.
1. The switch S is closed at t = 0 (assume that the battery voltage remains constant at 10V and the resistance of the inductor is negligible). Calculate the voltage across each resistor a very long time after the switch has been closed and all currents and voltages reached steady values. (5 points)1. The switch S is closed at t = 0 (assume that the battery voltage remains constant at 10V and the resistance of the inductor is negligible). Calculate...
The switch in the circuit shown below has been closed for a long time until t=0 when it is opened. What is the circuit time constant for t> 0? It=0 RS SR2 = 3R OT=[(R3 + RA)//R2 + R1]//R,C OT=R.C OT=RiC OT=R2C None of the above
the circuit is in steady state until the switch was moved from terminal 1 to terminal 2 at t = 0. given that I0 = 21 mA, R1 = 2 kΩ ,R2 = 3 kΩ, R3 = 4 kΩ, and C = 50 μF. 1 + HH С w R2 t=0 10 ( R 2 R3 Initial current i1(0) initial voltage vc(0-)= Final voltage vc(infinite)= mA before switching Volts before switching Volts long time after switching.
State Equations, initial conditions, and differential equation solution R1 t 0 V0-20V R 1-20? L-2mH VO R2 The switch in the circuit has been closed a long time, and is opened at t = 0' Find the capacitor voltage, V.(t), for t20; in the cases: (a) R2-102; (b) R2-1002; (c) R2-87/17? Hint: Find the initial conditions, then treat the circuit as an RLC circuit via its differential equation
1) In the following circuit the switch has been closed for a long time and is opened at t0 S1 R1 ?0 V1 R2 L1 10H C1 (a) Find i1(0)=--, ife)- Ve(00) = 4 points (b) Write the differential equation for the circuit. 4 points (c) Write the circuit characteristic equation. 2 points (d) Determine the roots of the characteristic equation. 6 points (e) Is the circuit overdamped, critically damped or underdamped? 2 points