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Please derive and explain why I=(ε/R)(e^(-t/RC)) in an RC circuit. Also define what a time constant is. Thanks!
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- Explain why the time constant for an RC circuit increases with R and with C. (The answer “That’s what the formula says” is not sufficient.)In q = CVs (1-e-t/RC). Prove that RC is a unit of time. Show full and detailed solution please thank you.Calculate the time constant of the RC-circuit depicted here
- In a series RC circuit, what will the graph of current versus time look like for the condition where the capacitor is initially uncharged at time=0 and then connected to a battery. Explain precisely; you do not need to include a graph.For the circuit below, find vin(t) for t > 0. complete solution, and explanation.What similarities can you draw between the formulas of finding the capacitance and resistance in series and parallel circuits? Aside from P=IV, what other ways can we obtain power using Ohm's Law?
- Calculate the theoretical value of the time constant of an RC circuit for the known values of R=1,118.5kΩ and C=114μF. Give your answer in units of seconds with the correct number of significant figures.Imagine that we had a RC circuit with a 19.2 kilo-ohm resistor connected in parallel with a 16 kilo-ohm resistor and they were connected to two capacitors (404.2 uF, 350.1 uF) that are in series. What is the time constant of this circuit?Consider a series RC circuit as in the figure below for which R = 8.00 MΩ, C = 3.00 µF, and = 34.0 V. What is the time constant of the circuit. What is the maximum charge on the capacitor after the switch is thrown closed? Find the current in the resistor 10.0 s after the switch is closed.
- 1. Please draw a circuit diagram for a 15 V battery that is in series with a 5-ohm resistor, has an open switch, and a .75 uF capacotir. Then find the circuit's time constant in us. 2. Find the initial curent when the swith is closed at t=0s and use the initial current plue the time constant to create a mathematical expression for the current as a function of time, I(t). Please include a drawing of I(t) from t=0 to t=5 RC 3. Use the expression you created in 2 to find the current at t=.010ms 4. Find the charge Q on the capacitor plates when they are fully charged. Write another mathematical expression for the capactitor charge as a function of time using the charge Q plus the time constant. Include a drawing of Q(t) from t=0 to t=5RC. 5. Use the expression you created in 4 to find voltage across the capacitor plates at t=.010ms. (just the last two)1. Please draw a circuit diagram for a 15 V battery that is in series with a 5-ohm resistor, has an open switch, and a .75 uF capacotir. Then find the circuit's time constant in us. 2. Find the initial curent when the swith is closed at t=0s and use the initial current plue the time constant to create a mathematical expression for the current as a function of time, I(t). Please include a drawing of I(t) from t=0 to t=5 RC 3. Use the expression you created in 2 to find the current at t=.010ms 4. Find the charge Q on the capacitor plates when they are fully charged. Write another mathematical expression for the capactitor charge as a function of time using the charge Q plus the time constant. Include a drawing of Q(t) from t=0 to t=5RC. 5. Use the expression you created in 4 to find voltage across the capacitor plates at t=.010ms. (just the first three)Context: Source of EMF and RC Circuits How do you derive Equation 4 from Equations 1 and 3? Equation 1 is Current, I= emf/(R+r) and Equation 3 is power, P= IV= I^2R . Equation 4 is Making use of Eq. (1) in Eq. (3), one can show that power, P, supplied by the battery to the resistive load, R, can be written as: P=emf^2(R/(R+r)^2