The switch in the circuit shown has been closed for a long time, and it is opened at t = 0. Find v(t) for t > 0. Calculate the energy stored in the capacitor when t= 0.4 sec. too 15v 20mF
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A: for t <0 I = 1515+20+40I=0.2 mAV1(0) = 20 K ×0.LmA = 4VV2(0-) = 40×0.2 = 8V
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- A)Perform the N=5 point circular convolution of x and h using DFT. B)Perform the N=5 point circular convolution of x and h in time-domain.15 - When the unit step function is applied to the system input given the block diagram below, the output response takes the value c (0.2) = 0.11 for t = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the steady-state error of the system? calculate.A) 0.33B) 0C) 0.25D) 0.5E) 0.67Find the root of the equation. S^2+2S+5
- If ? = 50Ω, L = 1.5H, what value of C will cause a sourceless series RLC circuit to be a) overdamped ?, b) critically damped ?, c) underdamped?The signal is given by: f(t) = 0 if t < 0 f(t) = 1 − t/3 if 0 ≤ t ≤ 3 f(t) = 0 if t > 3 (i) Give the graphical representations of the signals (f). (ii) Give a physical meaning of the convolution product of two signals. We set h(t) = f(t) *f(t) where '*' represents the convolution product. (iii) Determine the signal (h).The switch in the circuit shown has been open for a long time. At t=0, the switch closes. 1. Derive the integrodifferential equation that governs the behavior of the voltage vo for t≥0. 2. Show that Vo(s)=Vdc/RCs2+(1/RC)s+(1/LC). 3. Show that Io(s)=Vdc/RLCs[s2+(1/RC)s+(1/LC)].
- Signal and system The mathematical model of a system is y" (t) + ay'(t) + by(t) = a (t) + ca (t) where a=1, b=2 and c=1. 1) Find zeros and poles of the system. 2) Show them onto the S-Plane (the complex plane) 3) Discuss the BIBO stability of the system.When the unit step function is applied to the input of the system whose block diagram is given below, the output response takes the value c (0.2) = 0.11 for t = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the steady-state error of the system? calculate.The switch in the circuit seen has been in position a for a long time before moving instantaneously to position b at t=0. 1. a) Construct the s-domain equivalent circuit for t>0. 2. b) Find V1 and v1. 3. c) Find V2 and v2.
- When the unit step function is applied to the system input given the block diagram below, the output response takes the value c (0.2) = 0.11 fort = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the steady-state error of the system? calculateConsider the circuit on the left. DC voltage u1(t ≥ 0) = U is applied at time t = 0. Both meshes must include the input voltage. At time t = 0, the capacitors are free of energy. The following applies: τ = R*C. Derive the 2nd order differential equation for the capacitor voltage u2(t).The switch in the circuit shown has been in position a for a long time. At t=0, the switch moves instantaneously to position b. 1. Derive the integrodifferential equation that governs the behavior of the current io for t≥0+. 2. Show that Io(s)=Idc[s+(1/RC)][s2+(1/RC)s+(1/LC)].