a.) Consider the circuit below. Assume that the capacitor is fully discharged prior to t=0. The switch is closed at t=0...
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 is the value of the voltage across the capacitor, VC(t),
at t=2?s?
Homework Answers
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a.) Consider the circuit below. Assume that the capacitor is fully discharged prior to t=0. The switch is closed at t=0...
Question 5 16 pts In the circuit below, the switch was closed for a long time...
Question 5 16 pts In the circuit below, the switch was closed for a long time prior to t= 0. At t= 0, the switch is open - 202 e) The steady state voltage across the capacitor when the switch is open is. Enter your answer in Volts
Charging Capacitor 3. In the below charging circuit the switch is closed at t-Os and the...
Charging Capacitor 3. In the below charging circuit the switch is closed at t-Os and the capacitor begins charging. R. -0 C. a) Show that: dt C c) Show that the following equation is how that the charging function for the capacitor is: Q(t) = VC(1-eyec) d) If V-20V, C-50nF, and R-100092, compute the time constant. What is the total charge and voltage across the capacitor at t-60μ
Vi 7. In the circuit shown below, the capacitor starts fully charged, and the switch is...
Vi 7. In the circuit shown below, the capacitor starts fully charged, and the switch is closed at 0 Assuming light damping (small R), sketch the voltage across the capacitor Vc and the current I as functions of time t[s L R I(t) A switch If C 3.0 nF and L = 5.0 uH, find the natural frequency and natural period of the above circuit. b. t[s natural frequenсу: A. 210 kHz D. 1.3 MHz В. 460 kHz C. 870...
Question 3 16 pts In the circuit below, the switch was closed for a long time...
Question 3 16 pts In the circuit below, the switch was closed for a long time prior to t t - 0, the switch is open 0. At 1 n (C)'L 5 4 2Ω 9 H c) Find the initial voltage across the capacitor Volts/sec Enter your answer in dt
(12 pts) In the circuit below the capacitor is fully charged to 12.0 V. Switch S...
(12 pts) In the circuit below the capacitor is fully charged to 12.0 V. Switch S is next flipped down for discharge of the capacitor. (a) Show the new switch position on the diagram and the current flow direction during discharge. (b) Sketch the voltage Vc across the capacitor C (during discharge) as a function of time t on the graph below. (c) Calculate the time constant for the discharge from the given R and C values. 8. Graph of...
The capacitor in this circuit is initially changed to 20.0V. Switch S is closed at t...
The capacitor in this circuit is initially changed to 20.0V. Switch S is closed at t = 0.0s. The voltage across the capacitor is measured to be 1.40V at a time of 15.0s. What is the value of the resistor? (5) = 470 uF
Answer: 96. Consider the circuit below. The capacitor has a capacitance of 10 mF. The switch...
Answer:
96. Consider the circuit below. The capacitor has a capacitance of 10 mF. The switch is closed and after a long time the capacitor is fully charged. (a) What is the current through each resistor a long time after the switch is closed? (b) What is the voltage across each resistor a long time after the switch is closed? (c) What is the voltage across the capacitor a long time after the switch is closed? (d) What is the...
The capacitor in the circuit is initially uncharged, when at t = 0 s, the switch is closed. At what time is the voltage across the capacitor equal to 7.5 V?
The capacitor in the circuit is initially uncharged, when at t = 0 s, the switch is closed. At what time is the voltage across the capacitor equal to 7.5 V?
Problem 2 You are given the circuit shown below and you are told that the switch...
Problem 2 You are given the circuit shown below and you are told that the switch was closed for a long time prior tot0. Att0 the switchopens. IH 402 a) Find vc(0), i(0) dt c) Find the steady-state voltage Vess across the capacitor. d) Write the differential equation in terms of vc() indicated above. c) Is the transient response over, under or critically damped? Find v(t)t>0
Learning Goal: To understand the dynamics of a series R-C circuit. Consider a series circuit containing...
Learning Goal: To understand the dynamics of a series R-C circuit. Consider a series circuit containing a resistor of resistance R and a capacitor of capacitance C connected to a source of EMF ε with negligible internal resistance. The wires are also assumed to have zero resistance. Initially, the switch is open and the capacitor discharged. (Figure 1)Let us try to understand the processes that take place after the switch is closed. The charge of the capacitor, the current in...
Question 5 16 pts In the circuit below, the switch was closed for a long time prior to t= 0. At t= 0, the switch is open - 202 e) The steady state voltage across the capacitor when the switch is open is. Enter your answer in Volts
Charging Capacitor 3. In the below charging circuit the switch is closed at t-Os and the capacitor begins charging. R. -0 C. a) Show that: dt C c) Show that the following equation is how that the charging function for the capacitor is: Q(t) = VC(1-eyec) d) If V-20V, C-50nF, and R-100092, compute the time constant. What is the total charge and voltage across the capacitor at t-60μ
Vi 7. In the circuit shown below, the capacitor starts fully charged, and the switch is closed at 0 Assuming light damping (small R), sketch the voltage across the capacitor Vc and the current I as functions of time t[s L R I(t) A switch If C 3.0 nF and L = 5.0 uH, find the natural frequency and natural period of the above circuit. b. t[s natural frequenсу: A. 210 kHz D. 1.3 MHz В. 460 kHz C. 870...
Question 3 16 pts In the circuit below, the switch was closed for a long time prior to t t - 0, the switch is open 0. At 1 n (C)'L 5 4 2Ω 9 H c) Find the initial voltage across the capacitor Volts/sec Enter your answer in dt
(12 pts) In the circuit below the capacitor is fully charged to 12.0 V. Switch S is next flipped down for discharge of the capacitor. (a) Show the new switch position on the diagram and the current flow direction during discharge. (b) Sketch the voltage Vc across the capacitor C (during discharge) as a function of time t on the graph below. (c) Calculate the time constant for the discharge from the given R and C values. 8. Graph of...
The capacitor in this circuit is initially changed to 20.0V. Switch S is closed at t = 0.0s. The voltage across the capacitor is measured to be 1.40V at a time of 15.0s. What is the value of the resistor? (5) = 470 uF
Answer:
96. Consider the circuit below. The capacitor has a capacitance of 10 mF. The switch is closed and after a long time the capacitor is fully charged. (a) What is the current through each resistor a long time after the switch is closed? (b) What is the voltage across each resistor a long time after the switch is closed? (c) What is the voltage across the capacitor a long time after the switch is closed? (d) What is the...
Problem 2 You are given the circuit shown below and you are told that the switch was closed for a long time prior tot0. Att0 the switchopens. IH 402 a) Find vc(0), i(0) dt c) Find the steady-state voltage Vess across the capacitor. d) Write the differential equation in terms of vc() indicated above. c) Is the transient response over, under or critically damped? Find v(t)t>0
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