Chapter 5, Problem 5.78P

3. Consider the RL circuit with a constant voltage source shown in the diagram below. The values of the resistor, inductor, and input voltage are R = 100, L = 100 mH, and Vo = 12V, respectively. Vo - Ti(t) R w When the switch closes at time t = 0, the current begins to flow as a function of time. It follows from Kirchoff's voltage law that the current is described by the differential equation di(t) L dt + Ri(t) = Vo⋅

4. Consider the RL circuit with a sinusoid voltage source shown in the diagram below. The values of the resistor, inductor, input voltage amplitude and frequency are R = 5, L = 50mH, and Vo = 10 V, respectively. The input voltage frequency w is variable. Assume that the circuit has reached steady state. Voejwt + ↑i(t) R سيد The input voltage can be described using the complex sinusoid function V(t) = Voejwt The current is given by a sinusoid with same the frequency was the input voltage, but a different magnitude and different phase. The physical voltage and current are obtained by taking the real part. In complex form, the current is given by i(t) Vo ejwt R1+jw/ The differential equation that describes the current follows from Kirchoff's voltage law, and is given by di(t) L + Ri(t) = Voejwt dt

2. (4 marks) Use the real and imaginary parts of ĉejut, where ñ = a + jb = e³, to show that: c cos(wt) = acos(wt) – bsin(wt), csin(wt) = a sin(wt) + bcos(wt). Describe the relations between a, b, c, and o.

Compute the thevenin equivalent between the two terminals a-b zeq and veq show all your steps and explain clearly what you did.

I need help with this problem and an explanation of the solution for the image described below. (Introduction to Signals and Systems)

I need help with this problem and an explanation of the solution for the image described below. (Introduction to Signals and Systems)

Don't use ai to answer I will report you answer

conpute the thevenin equivalent between the terminals a and b Veq and Zeq note that the voltage source has 5e^j0 V the other values if not clear are -8j 8 20 and 5ohms

-calculate theoretical voltage and current values in Figure 1.3 and record them in Table 1.1. Calculate-all- voltage and current values as peak-to-peak. Table 1.1: Calculated Values of RC-Circuit ZTotale in (p-to-p)¤ VR-(p-to-p)¤ Vc-(p-to-p)¤ R(2) X-(2) mag (mA) angled mag (V) angled mag-(V) angle Freq. (Hz) X (N)- ρα ρα 500x 4000x ρα ρα ρα ρα ρα ρα ρα ρα