1.(20 pts) The switch in the circuit shown below has been closed for a long time...
The switch has been open for a long time before being closed at t = 0. Find the initial value i (0) and the time constant of the RL circuit for t>O. 212 240 Xt=0 381 0.4 H 4. The switch has been closed for a long time and is opened at t = 0. Find (a) i (0) and i (0*); 102 50 2 (b) i(t) fort >0; (c) (t) at t = 5 ms. 100 V + 3...
The switch in the circuit shown has been closed for a long time and is opened at t = 0. Find a) The initial value of v(t), b) The time constant for t>0. c) The numerical expression for v(t) after the switch has been opened, d) The initial energy stored in the capacitor, and e) The length of time required to dissipate 75% of the initially stored energy.
For the circuit below, the switch has been open for a long time and is then closed at t=0. a. Make an accurate sketch of the voltage on R; versus time, labeling key values. (18 pts) b. Given that the time constant for this circuit is 80 ms, give the value of the voltage on R; at = 20 ms (7 pts) Switch R 1 k2 20 V - Rik2 c 100 uF R; 3 Κά The voltage and current...
Problem 7. The switch in the circuit below has been closed for a long time. It is opened at t 0. Find the capacitor voltage v(t) fort>0. 1-0 300 ? 100 ? 2io 0 0.1 F
The switch sl has been open and switch s2 is closed. for a long time (Fig. 2) At t= 2 seconds, S2 is opened. Determine ict) fort>o. *=2 O 0 4or 40V ilt)
Consider the circuit depicted in Fig. 2. The switch SW1 has been closed for a long time before it is opened at time t = 0. The switch SW2 has been open for a long time before it is closed att = 0.1 (sec). i) Find the initial current I(0) flowing in the inductor and the initial voltage V(0) across the capacitor. ii) Find the voltage V(t) across the capacitor and the current I(t) through the inductor for 0 ≤ t ≤...
In the circuit below, the switch has been in the closed position for a long time. At t=0, the switch is opened. (a) Calculate the time constant τ = L/RTH for the circuit, for t > 0. (b) What is the value of io(t → 0-)? (c) What is the value of io(t → 0+)? (d) What is the value of io(t → ∞)? (e) Write the expression for i0(t), t> 0. Hence, calculate the values of i0(t) at t =t, 2τ, 3τ,4τ, 5τ. (f) Plot...
Q3. In the circuit shown below, switch S has been closed for a very long time and it is opened at t = 0. Find the solution for the current i(t) passing through the inductor. Q4. In the circuit shown, the initial capacitor voltage is v(0) =5 V. (a) Find the capacitor voltage v(r) for t > 0. (b) Find the current io(t).
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
Solving for The switch in the circuit below has been closed for a long time and it opens at t = 0. Find the following: for b) can you solve it without using Laplace transform? As in no s domain, thank you 1. The switch in the circuit below has been closed for a long time and it opens at t = 0. Find the following: (a) (20 points) v(0%), and v.(0%) for t < 0. (b) (20 points) v(t),...