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For the following circuit, suppose that is(t) is 0 when t < 0, is 2A for 0<t<0.5 and is 0 again for t>0.5 . Determine the expression of the current through R4 when t>0.

A set of samples is said to be pairwise linearly separable if there exist c(c − 1)/2 linear separability hyperplanes Hij such that Hij separates samples labelled ωi from samples ωj. Show that a pairwise-linearly-separable set of patterns may not be linearly separable.  

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 voltage vo for t≥0+. 2. Show that Vo(s)=Vdc[s+(R/L)][s2+(R/L)s+(1/LC)].

A circuit consists of a battery with ℇ=50.0 V, two resistors R1=30.0Ω, R2=15.0Ω, andan inductor L=0.3 H as shown in the figure. The switch S is closed at time t=0.After the switch is left closed a long time, it is opened again. Find Va−Vband Vc−Vd just after the switch is opened.

A series LR circuit has a variable inductor with theinductance L(t) is defined by intervals.Find the current i(t) if the resistance is 0.2 ohms, the voltageapplied is E(t) = 4 volts; knowing that i(0) = 0.

Either the following signals:    f(t)=0 if t<0    f(t)=1−t/2 if 0≤t<2 f(t)=0 if t≥2 And  g(t)=0 if t<−2  g(t)=1 if −2≤t≤2  g(t)=0 if t>2 (i)        Give the graphical representations of the signals (f) and (g).   (ii)       Give a physical meaning of the convolution product of two signals. We set h(x) = f (t) *g (t) where '*' represents the convolution product. (iii)     Determine the signal (h). (iv)     Give the graphical representation of the signal (h).

The switch in the circuit shown in the given figure is closed at t = 0 and VS = 12 V, C = 130 μF, R1 = 6.1 kΩ, R2 = 8.9 kΩ, and L = 30 mH.

You are investigating the electrical testing circuits and find that, in an inductive circuit, the relationship between instantaneous current i (amps) and the time t (secs) is given by:    i = 12.5(1-e-t/CR)   You have been asked to determine the time taken for the current to rise from 1 to 2 amps given your own R and C values as follows. R= 140 C= 90

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)].

Either the following signals: f (t) = 0 if t <0 g (t) = 0 if t <−1 f (t) = 1 - t if 0 ≤ t <1 and g (t) = 1 if - 1 ≤ t ≤ 1 f (t) = 0 if t ≥ 1 g (t) = 0 if t> 1 (i) Give the graphical representations of the signals (f) and (g). (ii) Give a physical meaning of the convolution product of two signals. We set h (x) = f (t) *g (t) where '*' represents the convolution product. (iii) Determine the signal (h). (iv) Give the graphic representation of signal (h).

Circuit analysis 2 For the circuit given below, the graph of Vs (t) voltage values ​​is given on the right. For 0 <t <1, the value of iR (t) is equal to: (Take R = 6.0, L = 6H and C = 1F.)

Use the following circuit drawings and reference designators to find (a) the Kirchoff's Voltage Loop (KVL) equations, (b) Kirchoff's Current nodal (KCL) equations, and (c) the associated second order characterisitic differential equation for i1 (use KVL), V0 (Use KCL)... make certain your differential equation is homogenous in terms of the single desired variable (i1(t) or V0(t)) as a function of time. The two circuit diagrams are attached.

Considering the circuit in the figure below, determine a dv(0)/dt (derived from the voltage v(t) at the instant of time t=0).

Set up a system of first-order differential equations for theindicated currents I1 and I2 in the electrical circuit ofFig. 4.1.14, which shows an inductor, two resistors, anda generator which supplies an alternating voltage drop ofE(t) = 100 sin 60t V in the direction of the current I1.

Closed loop poles in a second order system -3 + 4j and -3-4j If so, what is the damping rate of the system?   3/44/35/45/33/5one4/50

Calculate the current in an RLC circuit with resistances R=11 ohms, L=0.1 H, and C=10^-2 F that is linked to the source V(t)= 10sin 377t. Assume that the capacitor charge and current are both zero at time t=0.

For a certain source-free parallel RLC circuit, R = 1 k , C = 3 μF, and L is such that the circuit response is overdamped. (a) Determine the value of L. (b) Write the equation for the voltage v across the resistor if it is known that v(0−) = 9 V and dv/dt|t=0+ = 2 V/s.

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)].

The characteristic equation of a given system is s4 + s3 + 2s2 + 12s + 10 = 0. The stability condition of the system is __________.   a. Stable b. Unstable c. Marginally Stable

Ia = 2.5mA, Ib = 5mA, Vc = 18V, Vd = 15V. C1 = 12µF, C2 = 18µF, C3 = 10µF, C4 = 2µF. L1 = 12mH, L2 = 18mH, L3 = 10mH. R1 = 12kΩ, R2 = 20kΩ, R3 = 30kΩ, R4 = 8kΩ, R5 = 5kΩ, R6 = 12kΩ. The circuit is in dc steady state. Determine V2. Enter your answer in V rounded to two decimal places. If the sign is negative, please be sure to include the negative sign.

Determine the time constant τ of the circuit. Express your answer in terms of t1 , I1 ,and I0. Recall that natural logarithms are entered as ln(x).

Generate at random simple graphs with 10 vertices. Stop when you have constructed one with an Euler circuit. Display the Euler circuit. (Hint: use Matlab function graph) Please do not copy any existing responses. Respond in 1 hour to receive upvote.

Please answer ASAP, I'll give an upvote. Thank you. The circuit has been running for a long time prior to the switch closing at t = 0. The supply voltage is 100(√2)sin(100t) V. The complete response of the iL(t) is of the form: iL(t) = A1e(-A2t) + B1sin(100t+B2) Amp where A1, A2, B1 and B2 are unknown. Find the values of B1 and B2 in the forced response component of iL(t). Provide the unit of B2.

Please help ASAP!   In the circuit shown, the switch is moved from a to be at t=0. Find v(t) for t > 0.