Designing an RC Circuit for RL Equivalent Voltage vs. Time

In summary, the conversation is about designing an RC circuit with the same Voltage vs. Time characteristics as an RL circuit. The equations for the two circuits are provided, and the individual is unsure of how to use the equation for RL. They are asked to write an equation for V(t) for RL and get it to look like the equation for Vc(t) in the RC circuit.
  • #1
dancergirlie
200
0

Homework Statement



Design an RC circuit that has the same Voltage vs. Time characteristics as the RL circuit shown

*See attached Diagram*

Homework Equations





The Attempt at a Solution



Not really sure how to approach this, but all i know is the equations:

RC circuit:

Vc(t)=Vb(1-e^-(t/RC))

RL circuit:
i(t)=(Vb/R)(1-e^-(tR/L))

I really don't know how I'm supposed to use the equation for RL... am I using ohm's law? I am really confused so any help would be great!
 
Physics news on Phys.org
  • #2
hi dancergirlie! :smile:
dancergirlie said:
*See attached Diagram*

where? :cry:
RC circuit:

Vc(t)=Vb(1-e^-(t/RC))

RL circuit:
i(t)=(Vb/R)(1-e^-(tR/L))

now write an equation for V(t) for RL, and get that to look like the V for RC :smile:
 

1. What is an RC circuit and how does it work?

An RC (resistor-capacitor) circuit is a type of electric circuit that contains both a resistor and a capacitor. The resistor limits the flow of current in the circuit, while the capacitor stores and releases electrical charge. When connected in series, the resistor and capacitor work together to create a time-varying voltage across the capacitor.

2. How do I calculate the equivalent voltage of an RC circuit at a specific time?

To calculate the equivalent voltage at a specific time in an RC circuit, you can use the formula V(t) = V0(1-e^(-t/RC)), where V0 is the initial voltage, t is the time, R is the resistance, and C is the capacitance. This formula takes into account the time constant (RC) of the circuit, which determines how quickly the voltage changes over time.

3. Can I use an RC circuit to simulate a real-world system?

Yes, an RC circuit can be used to simulate a real-world system, as long as the time constant of the circuit is similar to the time constant of the system being simulated. This is because the voltage output of an RC circuit closely resembles the behavior of a system that responds to inputs and stores energy, such as a mechanical system or a biological system.

4. What factors affect the voltage output of an RC circuit?

The voltage output of an RC circuit is affected by the values of the resistor and capacitor, as well as the input voltage and the time constant of the circuit. Additionally, any changes in the input voltage or the circuit components over time can impact the voltage output.

5. How can I optimize the design of an RC circuit for a specific application?

The design of an RC circuit can be optimized for a specific application by carefully selecting the values of the resistor and capacitor to achieve the desired time constant and voltage output. Additionally, considering the input voltage and any external factors that may affect the circuit can help ensure the circuit will perform effectively for the intended application.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
6K
  • Introductory Physics Homework Help
Replies
20
Views
3K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
6K
  • Introductory Physics Homework Help
Replies
3
Views
1K
Replies
19
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
4
Views
550
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
1K
Back
Top