Homework Answers
R = resistance
C = capacitance
Vo = max voltage across circuit
========
a)
now for charhing of capacitor instantaneous voltage across it s given by
V = Vo ( 1- e ^ ( - t / RC))
=======
b)
for discharging of capacitor
V = Vo e^ (- t / RC)
=======
comment in case any doubt, will reply for sure.. goodluck
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Problem 1. For a transient RC circuit: a) Write the equation that relates the voltage across...
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Problem 2: /10 A) For the RC circuit of Figure 1, the switch is put in the position a at t=0 (charging phase). Report the time constant of the circuit t, , voltage Vc and current Ic at time t = t;/2 Fig. 2 3c B) At time t = 7, /2 , the switch in the RC circuit of Figure 2 is moved in the position b (discharging phase); Report the time constant of the circuit ta , voltage...
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Objectives: To learn transient behavior of series RC circuits To observe of time constant and its effect on charging process of capacitor using pulse waveforms Equipment: Oscilloscope Function generator Resistors (1 k) Capacitors (1 uF) Breadboard Pre-Lab Questions A pulse is a voltage or current that changes from one level to the other and back again. If a waveform's high time equals its low time, it is called a square wave. The length of each cycle (one positive peak and...
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1) RC Circuits: (15 pts) (a) Use Kirchhoff's voltage law (KVL) to obtain an ordinary differential...
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electromagnetic
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What is the total current produced by the battery at t = 0?
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Voltage across a capacitor LO • Charging • Discharging 9 8 7 Voltage 3 R2 RI 2 1 Сі 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 Time The circuit contains an ideal battery, two resistors and a capacitor (C = 200 uF). The switch is closed at time t = 0, in the voltage across the capacitor is recorded as a function of time...
Problem 2: /10 A) For the RC circuit of Figure 1, the switch is put in the position a at t=0 (charging phase). Report the time constant of the circuit t, , voltage Vc and current Ic at time t = t;/2 Fig. 2 3c B) At time t = 7, /2 , the switch in the RC circuit of Figure 2 is moved in the position b (discharging phase); Report the time constant of the circuit ta , voltage...
Part A Charging of RC Circuit 1) Construct a RC circuit (series) with a capacitor, a resistor, a battery, two switches, and appropriate meters that will enable you to make measurements of the parameters for charging up the capacitor. The placement of the switches allows you to measure both charging and discharging of the RC circuit. See diagram below: 2) Choose a combination of Rand C that will give you a time constant(T) of 20 seconds. T=R*C 20= 100* C=0.2F 3) Set the...
Background Summary Questions: 1. What does the time constant of an RC circuit that is being charged tell you? 2. What does the time constant of an RC circuit that is being discharged tell you? 3. How is the voltage across the capacitor related to the charge on a capacitor? (Linear, Inverse, Quadratic, etc.) 4. Based on your answer to question 3, how would you write an expression for the voltage across the capacitor as a function of time? a. Charging: V(t) b. Discharging: V(t)= Background: The...
RC Transient Response 1. Refer to the circuit below: o w + VR- i ict) 100V 4TOV TVC a. Determine the time constant of the circuit b. Write the mathematical equation for the voltage ve following the closing of the switch C. Determine vc after one, three and five time constant d. Write equations for current, ie and voltage across resistor, VR e. Sketch Vc and ic f. Determine ve at t = 1ms g. (Bonus) Find the time t...
Objectives: To learn transient behavior of series RC circuits To observe of time constant and its effect on charging process of capacitor using pulse waveforms Equipment: Oscilloscope Function generator Resistors (1 k) Capacitors (1 uF) Breadboard Pre-Lab Questions A pulse is a voltage or current that changes from one level to the other and back again. If a waveform's high time equals its low time, it is called a square wave. The length of each cycle (one positive peak and...
13. RC circuit A RC circuit has a resistor of 100k and a capacitor of 2004. What is the time constant? (5) 2. Figure 3 shows the voltage across a capacitor versus time in a RC-circuit experiment. (5) The applied voltage to the capacitor is V-6. What is the estimated time constant for this capacitor? a) 1-50 b) 50-100s c) 100-150 d) 200-250 e)300-350s Figure 3: Voltage versus time for a capacitor. 3. Working Problem (show all your work!) Figure...
1) RC Circuits: (15 pts) (a) Use Kirchhoff's voltage law (KVL) to obtain an ordinary differential equation (ODE) describing the charge vs. time function (t) for a capacitor in the discharging RC circuit shown below. Assume that at time t = 0 (right before the switch is closed) the voltage across the capacitor is V = V.. R R W W V. с v(t) с t = 0 t> 0 Fig. 1. Fully charged RC circuit Fig. 2. Discharging RC...
electromagnetic
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What is the total current produced by the battery at t = 0?
I=
Voltage across a capacitor LO • Charging • Discharging 9 8 7 Voltage 3 R2 RI 2 1 Сі 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 Time The circuit contains an ideal battery, two resistors and a capacitor (C = 200 uF). The switch is closed at time t = 0, in the voltage across the capacitor is recorded as a function of time...
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