A 3 H inductor is connected to a voltage source, vs(t). Find the current /1 at t₁ = 0.2 sec and 12 at t2 = 4.2 sec in unit A in the circuit below for the given vs(t).
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- The initial condition current of the inductance is given as iL(0)=1A. circuitBy analyzing the domain of s, we can find the intrinsic solution, forced solution, and exact solution of the current iL(t).find.Element values R1=R2=R3=1Ω, e(t)=Cos 3t Volts,It is L=β H. α=7,β=4The circuit shown below is an underdamped system, and the current through the inductor has the form iL(t)=e^at ( ) (K1sinwt + K2coswt ) for t≥0 a. Determine the numerical values, including signs, of a and w b. If the initial conditions are iL(0) = 1A and Vc (0) =12V , determine the numerical values, including signs, of K1 and K2 c. Using the numbers determined above, write out the complete expression for iL(t)The circuit elements in the circuit L=50 mH, and C=0.2 μF. The initial inductor current is−45 mA and the initial capacitor voltage is 15 V. The resistance is increased to250 Ω. Find the expression for v(t) for t≥0.
- Given the circuit below with the switch closed for a long time, then opening at t=0, and with the values R1=129KΩ, R2=128KΩ, R3=103KΩ, calculate the time constant, τ, for the capacitor voltage solution for at t >0.The initial values of i1 and i2 in the circuit shown are + 3 A and −5 A, respectively. The voltage at the terminals of the parallel inductors for t≥0 is −30e−5t mV. 1. a) If the parallel inductors are replaced by a single inductor, what is its inductance? 2. b) Find the initial current and its reference direction in the equivalent inductor. 3. c) Use the equivalent inductor to find i(t). 4. d) Find i1(t) and i2(t). Verify that the solutions for i1(t), i2(t), and i(t) satisfy Kirchhoff’s current lawCan you please help with this question? The triangular voltage pulse shown below is applied to a 200 mF capacitor. a) Write the expressions thatdescribe vc(t) in the five time intervals t < 0, 0 ≤ t ≤ 2 , 2 ≤ t ≤ 6, 6 ≤ t ≤ 8, and t > 8. b) Derive theexpressions for the capacitor current, power, and energy for the time intervals in part (a).
- 1) The circuit shown below is initially, for t < 0, with capacitor C connected to a battery (Vbat = 12 V).The key is switched at t = 0, disconnecting the battery and turning on the capacitor to the rest of the circuit.a)Calculate the circuit current in the time domain, i(t).b) In practice, after how long can the energy stored in the circuit be considered to be irrelevant (close to zero)?The voltage pulse applied to the 100 mH inductor shown is 0 for t<0. and is given by the expression v(t)=20te−10t V for t>0. Also assume i=0 for t≤0. Sketch the voltage as a function of time.The circuit elements in the circuit L=50 mH, and C=0.2 μF. The initial inductor current is−45 mA and the initial capacitor voltage is 15 V.4. The resistance is increased to 312.5 Ω. Find the expression for v(t) for t≥0.
- The triangular voltage pulse shown below is applied to a 200 mF capacitor. a) Write the expressions thatdescribe vc(t) in the five time intervals t < 0, 0 ≤ t ≤ 2 , 2 ≤ t ≤ 6, 6 ≤ t ≤ 8, and t > 8. b) Derive theexpressions for the capacitor current, power, and energy for the time intervals in part (a).a) Obtain the expression of v0 (t), for all t> 0, for the network of the figure shown: b) Without applying the step-by-step method and with the result obtained above, find the expression for the voltage across the inductor, for all t> 0.Answer the questions below:For the circuit given below, compute for the value of ?x (assume the circuit has been turned on).1. If at the terminals x−y a resistor of 10 ? is attached2. If at the terminals x−y an inductor of 1 ? is attached 3. If at the terminals x−y a capacitor of 1 ? is attached 4. If a 4? inductor is shunted with a 1 ? resistor and attached at terminals x−y