Determine the value of the voltage across the capacitor, Vc, 1 time constant after the sources changes (at t=0).
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Determine the value of the voltage across the capacitor, Vc, 1 time constant after the sources...
Learning Goal: To analyze an RC circuit to determine the initial voltage across a capacitor, the time constant, and the expression for the natural response of the capacitor voltage, and then to find other circuit quantities such as current,voltage, power, or energy. The natural response of an RC circuit is the response of the capacitor voltage to the sudden removal of a DC source. When this occurs, the capacitor releases its stored energy Figure < 10121〉 t 0 V. Figure...
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after the switch closes. b) v), the voltage across the capacitor after the switch has been closed for a long time. c) v(T), the voltage across the capacitor after one time constant. 2. 3 S2 I(t) 12 V+ 6 Ω 0.5 F u(t) 3. For the circuit above, write the differential equation for t > 0.
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...
The initial voltage across the capacitor is 0 V. At time t=0, the switch is closed a) What is the time constant for this circuit? b) What is the final voltage across the 50 capacitor? c) What is the expression for the voltage across the 50 capacitor? d) Sketch the waveform for . e) What is the maximum instantaneous current that will flow through the capacitor? f) When will the voltage reach 5.0 V?
For charging process, the voltage across the capacitor as a function of time is given by, Vc = [1 - exp(-t/)]. (a) When the time is twice the time constant, what percentage of the maximum voltage is on the capacitor? (b) Find the time it took, in terms of the time constant, for the voltage across the capacitor to be 30% of the maximum voltage. Resistor 1000 Ohms Capacitor 1 Farad Power Supply set to 6 Volts
a.) Consider the circuit below. Assume that the capacitor is fully discharged prior to t=0. The switch is closed at t=0 connecting the voltage source to the rest of the circuit. What is the steady-state value of the voltage across the capacitor, VC(t), after the switch is closed for a long time? Put your answer in the box below, without the units (Volts). b.) What is the time constant, ?, in ?s of the circuit in this question. c.) What...
Deriver an expression for the voltage drop across the capacitor in Figure I, for two cases. a. The source has been off for a long time and is "turns on" at t = 0 (ie, the source changes from 0 V to 5 V at t-0 and remains on indefinitely). b. The source has been on for a long time and is "turns off" att 0 (i.e. it changes from 5 V to 0 V at t -0 and remains...
Given the voltage across a 10 uF capacitor is Vc 200-t find the capacitor current (c). ic mA QUESTION 3 Given the voltage across a 10 mH inductor is VL = 5V. Assuming the inductor current is zero at time zero, find the current at 4 ms.
Derive a solution for the voltage across the capacitor C1 in Fig. 1 as a function of time from t 0 ms to t 125 ms if the switches are controlled as shown in Fig. 2. The initial capacitor voltage is -9 V. Show all of your work. 1. S4 R3 R1 S1 V1+ C1+ R2 V2+ yti Fig. 1. Switched RC circuit. V1-9 V, V2--15 V, R14.7 k2, R2-3.3 kQ, R3 2.2
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