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 circuit you will build in this experiment consists of a single resistor and capacitor connected in series. You will use the capacitor box to set the capacitance. The internal resistance of the voltmeter will serve as the resistor in the RC circuit. Depending on the terminals you use and the dial setting, these DMMs can be used as ammeters, voltmeters, or ohmmeters. You want to use it as a voltmeter for this experiment.
Homework Answers
Add Answer to:
1. What does the time constant of an RC circuit that is being charged tell you?
Construct a RC circuit (series) with a capacitor, a resistor, a battery,
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...
13. RC circuit A RC circuit has a resistor of 100k and a capacitor of 2004....
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...
8. Capacitance in circuits, RC circuits When a voltage source Vo is applied to a capacitor...
8. Capacitance in circuits, RC circuits When a voltage source Vo is applied to a capacitor in a circuit which has a resistance R, a charge Q CV will build up across the capacitor. This does not happen instantaneously, but takes some time. The charge builds up exponentially with a characteristic time r = RC. Charging: V = v. 1 - e-t/RC) Discharging: Vc = V e-t/RC Page 2 of 3 When t = RC , the exponential is lle,...
Looking at a RC circuit, using resistors and capacitors, calculate the RC time constant for discharging...
Looking at a RC circuit, using resistors and capacitors, calculate the RC time constant for discharging and charging capacitors. The voltage from the power supply is 10V. V = 0.63*V0, V = 0.37*V0
Suppose that a particular RC series circuit has a time constant of 5.0 seconds. What does...
Suppose that a particular RC series circuit has a time constant of 5.0 seconds. What does that mean in terms of the charging and discharging? How would this circuit compare to the ones you tried? Explain qualitatively and quantitatively. What could be a practical application of an RC circuit ?
Problem 1. For a transient RC circuit: a) Write the equation that relates the voltage across...
Problem 1. For a transient RC circuit: a) Write the equation that relates the voltage across the capacitor to the time for a charging capacitor. Sketch the graph b) Write the equation that relates the voltage across the capacitor to the time for a discharging capacitor. Sketch the graph
3 Capacitor Discharging Current The capacitor voltage versus time in a discharging series RC circuit, as...
3 Capacitor Discharging Current The capacitor voltage versus time in a discharging series RC circuit, as shown in the Background Information Figure 2, is Vo(t) = V, expl-Roc), +20 (3) where V, is the source voltage in Volts, exp(x) is the exponential functione, Rp is the discharging resistance in Ohms (N), C is the capacitance in Farads. To = Rp is the discharging time constant in seconds. Derive an expression for the capacitor discharging current versus time, .(t), in terms...
A charging RC circuit controls the intermittent windshield wipers in a car. The emf is 12.0...
A charging RC circuit controls the intermittent windshield wipers in a car. The emf is 12.0 V. The wipers are triggered when the voltage across the 120 µF capacitor reaches 10.0 V; then the capacitor is quickly discharged (through a much smaller resistor) and the cycle repeats. What resistance should be used in the charging circuit if the wipers are to operate once every 1.60 s?
A charging RC circuit controls the intermittent windshield wipers in a car. The emf is 12.0...
A charging RC circuit controls the intermittent windshield wipers in a car. The emf is 12.0 V. The wipers are triggered when the voltage across the 110 µF capacitor reaches 10.0 V; then the capacitor is quickly discharged (through a much smaller resistor) and the cycle repeats. What resistance should be used in the charging circuit if the wipers are to operate once every 1.50 s?
A charging RC circuit controls the intermittent windshield wipers in a car. The emf is 12.0...
A charging RC circuit controls the intermittent windshield wipers in a car. The emf is 12.0 V. The wipers are triggered when the voltage across the 110 µF capacitor reaches 10.0 V; then the capacitor is quickly discharged (through a much smaller resistor) and the cycle repeats. What resistance should be used in the charging circuit if the wipers are to operate once every 1.40 s? Answer in kΩ please. I need it ASAP. Thank you :)
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...
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...
8. Capacitance in circuits, RC circuits When a voltage source Vo is applied to a capacitor in a circuit which has a resistance R, a charge Q CV will build up across the capacitor. This does not happen instantaneously, but takes some time. The charge builds up exponentially with a characteristic time r = RC. Charging: V = v. 1 - e-t/RC) Discharging: Vc = V e-t/RC Page 2 of 3 When t = RC , the exponential is lle,...
Suppose that a particular RC series circuit has a time constant of 5.0 seconds. What does that mean in terms of the charging and discharging? How would this circuit compare to the ones you tried? Explain qualitatively and quantitatively. What could be a practical application of an RC circuit ?
Problem 1. For a transient RC circuit: a) Write the equation that relates the voltage across the capacitor to the time for a charging capacitor. Sketch the graph b) Write the equation that relates the voltage across the capacitor to the time for a discharging capacitor. Sketch the graph
3 Capacitor Discharging Current The capacitor voltage versus time in a discharging series RC circuit, as shown in the Background Information Figure 2, is Vo(t) = V, expl-Roc), +20 (3) where V, is the source voltage in Volts, exp(x) is the exponential functione, Rp is the discharging resistance in Ohms (N), C is the capacitance in Farads. To = Rp is the discharging time constant in seconds. Derive an expression for the capacitor discharging current versus time, .(t), in terms...
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