In the following circuit, a. What is the voltage Vc(t) for all time? b. What is...
Problem 1 100000 Ohms Consider the RC circuit on the right. and suppose that Vs(t) is a time-varying voltage input shown at the bottom VR(t) vC(t) Vs(t) 1 uF a) Suppose VC(0) OV. Plot VR(t) and VC(t) from ms to 300ms. Show your work in obtaining VR(t) and VC(t). b) Suppose the capacitance value is changed to 2μF, and VC(0) 0V. Plot VR(t) and VC(t) from Oms to 300ms. Show your work in obtaining VR(t) and VC(t). Vs(t) 1V c)...
Consider the following linear circuit. The capacitor voltage is +) 1, t<0 vc(t) = let, t > 0 Determine the total energy dissipated in the resistor for 0 <t<. Tu Circuit + Eu(t)
8) Calculate the following for the below circuit: a. Vs b. I d. Vr: e. Vc. 50 mH ,0)170 cos( 377t) V ( 50Ω UR 100 uF
9. For the given circuit, if the initial voltage across the capacitor is vc(0*) = 0, find an expression for the voltrage across the capacitor as a function of time and graph voltage versus time. R= 100 k2 w v=100 V uc) C = 0.01 uF 10. If a 100-F capacitance is initially charged to 1000V and at t=0, it is connected to a 1-ka resistance, at what time has 50 percent of the initial energy stored in the capacitance...
Consider the circuit of Figure 1. The voltage source Vs and resistance Rs comprise a circuit model of a function generator. Find the circuit time constant τ for t≥0. Assuming that the capacitor is initially uncharged, find and accurately sketch vR(t) and vC(t) for t≥0. Calculate vR(t) and vC(t) for t = 0, τ, 2τ, 3τ, 4τ, and 5τ seconds. Find the 10-90% rise time of vC(t) (this is the time required for vC(t) to transition from 10% (0.5V) to...
12. A series RC circuit is driven by a periodic square wave voltage V(t) with a period T=0.3 sec. V(t)0 for t<0. After t=0, the voltage alternates between 15 V and 0 V. Assume that R-40 , C-150 HF. We will call the voltage across the capacitor and the resistor Ve(t and Vr(t) respectively (a) Calculate the current I(t) in the circuit, the voltage Vc(t), and the power delivered by the driving source as a function of time for the...
6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at t-o. (a) Convert the circuit its Laplace equivalent at t >0, if ILO)-2A and vc (0)-6V. b) Find the capacitor voltage, Ve (s) in the frequency domain (c) Solve Ve (t) in the time domain. Switch L= 5H t-o 15V (0 ) = 2A V (o =6V 0.1F 6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at...
Consider the circuit of Figure 1. The voltage source vs and resistance Rs comprise a circuit model of a function generator. 1. Find the circuit time constant ? for t?0. Assuming that the capacitor is initially uncharged, find and accurately sketch vR(t) and vC(t) for t?0. Calculate vR(t) and vC(t) for t = 0, ?, 2?, 3?, 4?, and 5? seconds. 2. Find the 10-90% rise time of vC(t) (this is the time required for vC(t) to transition from 10%...
T. For the circuit below, fill out the table and determine the capacitor voltage and current as functions of time. Don't forget to evaluate the time constant. 1 mF Vc 10 V VR 100Ω 200 Ω t-0 t00 Ic IR