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3 Capacitor Discharging Current The capacitor voltage versus time in a discharging series RC circuit, as...
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...
(a) What is the expression for the voltage across a capacitor as it is discharging in a simple RC circuit? (Use the following as necessary: V0 for the initial voltage, R for the resistor, C for the capacitance, and t for the time.) V = (b) What is the ratio of V/V0 at time t = ?? V V0 =
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...
tor is charged to an initial voltage of 1OV micro- discharge through a 40 kQ resistor. You take 10 is then tsof voltage versus time and record a vol 10 It is rements o and a voltage reading of.47 volts after 60 after 50 seco What is your percent of .47 volts after 60 seconds. ent error against the theoretical value of the voltage reading after three time constants? 6% -6% c.60% d. -60% What is the equation for the...
3. Figure below voltage versus time for a discharging capacitor. (15) 100 200 300 400 500 Time(s) ) What is the time constant of this RC-Circuit. a)118s b) 370s c) 333 s d) 289 s IT)What time will it take to discharge the capacitor completely if resistance in the circuit made zero best answer) a) 0s b) 333 s e) infinite 400s
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...
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,...
The switch is closed at time t = 0. The battery, shown in the figure has a voltage of 3.21 Volts. The capacitor is initially uncharged. For the circuit below, with Resistance 8.95 Ohms and Capacitance 5.65 Farads, what is the energy in Joule stored in the capacitor at time t= 4.09 seconds?
A series circuit has a DC voltage source (42 volts), a resistor (70 ohms), a capacitor (25 farads), and a switch. The capacitor is initially uncharged and the switch closes at t=0. Sketch the exponential current and capacitor voltage: i(t)=Aexp(-t/tau) +B, and Vc(t)=Dexp(-t/tau) +F. Find: A,B,D,F,tau,i(t=tau),i(t=4tau),Vc(t=tau),and Vc(t=3tau).
A series circuit has a DC voltage source (73 volts), a resistor (95 ohms), a capacitor (91 farads), and a switch. The capacitor is initially uncharged and the switch closes at t=0. Sketch the exponential current and capacitor voltage: i(t)=Aexp(-t/tau) +B, and Vc(t)=Dexp(-t/tau) +F. Find: A,B,D,F,tau,i(t=tau),i(t=4tau),Vc(t=tau),and Vc(t=3tau).