RC Circuit: Time Calculation & Output Voltage Integration

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In summary, the conversation revolves around understanding the units of RC and how a resistance-capacitance combination can produce an output voltage that is the time integral of the input voltage. The concept of the RC time constant is mentioned, and the conversation also touches on the idea of measuring the internal resistance of a square-wave generator. The person being asked for help encourages the question asker to share their thoughts and ideas before receiving assistance.
  • #1
e_sovalye
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1-using the facts that R has units of potential difference per unit current and C has units of charge per unir potential difference, show that RC has units of time.
2- how could a resistance-capacitance combination be connected to produce an output voltage which is the time integral of the input voltage?
3-how might the internal resistance of the square-wave generator be measured?
 
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  • #2
Sounds like a homework question to me. Good luck.
 
  • #3
I agree. Off you go to the Homework Forum! *kick* :biggrin:

e_sovalye: We have rules here regarding homework questions, which you agreed to before posting. Those rules state that you must show that you have attempted to answer your own question before receiving help.

So, post some of your thoughts on this and we'll get cracking on helping you!

Thanks,

TM
 
  • #4
e_sovalye said:
1-using the facts that R has units of potential difference per unit current and C has units of charge per unir potential difference, show that RC has units of time.
2- how could a resistance-capacitance combination be connected to produce an output voltage which is the time integral of the input voltage?
3-how might the internal resistance of the square-wave generator be measured?

For 1, look into something called the "RC Time constant," usually notated by Tau.

For the others, what work have you done? What ideas can you come up with?
 

1. What is an RC circuit?

An RC circuit is a type of electrical circuit that consists of a resistor (R) and a capacitor (C) connected in series or parallel. It is commonly used to control the flow of current and store electrical energy.

2. How do you calculate the time constant of an RC circuit?

The time constant (τ) of an RC circuit is calculated by multiplying the resistance (R) in ohms by the capacitance (C) in farads, τ = RC. It represents the amount of time it takes for the capacitor to charge to 63.2% of its maximum charged value.

3. What is the formula for calculating the output voltage of an RC circuit?

The formula for calculating the output voltage of an RC circuit is V = V0 * (1 - e-t/τ), where V0 is the initial voltage, t is the time, and τ is the time constant.

4. How do you integrate the output voltage of an RC circuit over time?

To integrate the output voltage of an RC circuit over time, you can use the formula ∫V dt = -RC * e-t/τ + C, where V is the output voltage, t is the time, τ is the time constant, and C is the integration constant.

5. What is the significance of the time constant in an RC circuit?

The time constant (τ) in an RC circuit is important because it determines the rate at which the capacitor charges and discharges. A larger time constant leads to a slower charging and discharging process, while a smaller time constant results in a faster process. It also affects the stability and frequency response of the circuit.

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