In the following circuit where the switch closes at time π‘ = 0, find πΰ―’ (π‘) for time π‘ > 0 using the differential equation or step-by-step methods.

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In the following circuit where the switch closes at time π‘ = 0, find πΰ―’ (π‘) for time π‘ > 0 using the differential equation or step-by-step methods.
7 ots) 4. (a) The switch in the circuit below closes at t-o. Write the differential equation governing the inductor current i(O), >0 in the circuit below. Don't solve the equation! (10 pts) 6Ξ© i(t) 4H t=0 20 (b) Determine the final value of the current, i(t-). (7pts)
In the circuit below, the switch closes at timet 0. What is the circuit time constant. T, after t-0, if R1-6.3 k Give your answer in whole numbers, in ms. , R2-6 kQ, C-5.9 F. Π΅Π³ 2 t-0
The following circuit has been connected for a long time, and
the switch closes at t = 0. If source F has a value of 68V, find
the value of ix for t = 0.03s.
30 70 w 60 w ix F t=0 750mH - 90 w
a) Find the capacitor voltage in the following network if the
switch closes at t = 0. Assume initial conditions. Also find the
time constant, rise time, and settling time for the capacitor
voltage.
b) Plot the step response using MATLAB. From the plot, find the
time constant, rise time, and settling time. (Please provide the
code as well)
1.8Ξ© t-0 0.79 F 5 V
βBefore the switch closesβ
The circuit is at steady state before the switch opens at time t-. The input to the circuit is the vol tage of the voltage source, 12 V. The output of this circuit is the voltage across the capacitor,v() Determine v() for t>0. Show al work. 10k2 12 V
For the following circuit the switch is open for t<0. At t=0
the switch is closed. . Assume Is=3.9 A. Find the equation
iL(t)=k1+k2exp(βt/Ο)for t>0 given Is=3.9 A.
20Ξ© 6H Switch closes at t-0 10Ξ© 10Ξ© 10() Ρ.st. out
do not use s domain method ,use only differential equation
3. In the circuit shown, switch 1 has been closed for a long time before it is opened at t 0, and switch 2 has been opened for a long time before it is closed at t = 0. SW2 sw, 0.5Ξ© R2 1(2 A, 20 A i(t) 0.5 H a. Find the initial voltage v(O)- Vo across the capacitor and initial current through the inductor (0) lo at t...
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 Ξ© 0.5 F u(t) 3. For the circuit above, write the differential equation for t > 0.
For the following circuit, steady state conditions exist at tco. The switch is closed at t-0. Given R1-0.68kO, R-1.8ko, C-0.SuF, and Vi-12 V (a) Write the differential equation with Vc as independent variable for o (10 points) (b) Determine the initial and final conditions (10 points) (c) Find time constant using equivalent resistance method. Verify the time constant is the same as from differential equation (10 points) Rs Vi
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