Circuit Analysis: Deriving Transient Expressions

In summary, the conversation discusses deriving transient expressions for the output voltage and power absorbed by each resistor and capacitor in a circuit. The suggested approach is to use the KCL equation to solve a differential equation.
  • #1
amiv4
25
0

Homework Statement



2010119219546339953219445925621295.jpg


analytically derive the transient expressions for the following
1. the output voltage vot for t > 0
2. the power absorbed by each resistor and capacitor


Homework Equations





The Attempt at a Solution


I'm not sure where to start. Don't i need to know what vi(t) is?
 
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  • #2
I am new to circuit anaylsis too, but I am pretty sure you do, perhaps someone with more experience might advised other way.
Was no equation given being that both voltages are functions of time, t?
The only thing I can think of is that voltage can also be found by

[itex]V = IR[/itex]
V(Voltage) = I(Current) x R(Resistance)
 
  • #3
amiv4 said:

Homework Statement



2010119219546339953219445925621295.jpg


analytically derive the transient expressions for the following
1. the output voltage vot for t > 0
2. the power absorbed by each resistor and capacitor


Homework Equations





The Attempt at a Solution


I'm not sure where to start. Don't i need to know what vi(t) is?

Write the KCL equation for that upper right node -- it will give you a differential equation to solve.
 

FAQ: Circuit Analysis: Deriving Transient Expressions

1. What is circuit analysis?

Circuit analysis is a method used to determine the behavior and characteristics of electrical circuits. It involves applying mathematical techniques to analyze the voltage, current, and power in a circuit.

2. What is a transient response in circuit analysis?

A transient response is the behavior of a circuit in the moments immediately after a change in the circuit's input or configuration. It is a temporary state that the circuit goes through before reaching a steady-state.

3. How do you derive transient expressions in circuit analysis?

To derive transient expressions, you need to use differential equations and apply the principles of circuit analysis, such as Kirchhoff's laws and Ohm's law. This involves setting up equations based on the circuit's components and solving them to obtain the desired transient expression.

4. What is the purpose of deriving transient expressions in circuit analysis?

The purpose of deriving transient expressions is to understand the behavior of a circuit during the transient response. This can help in designing and optimizing circuits for specific applications, as well as troubleshooting and identifying any potential issues.

5. Are there any limitations to using transient expressions in circuit analysis?

Yes, there are some limitations to using transient expressions in circuit analysis. They assume ideal circuit components and do not take into account factors such as temperature, noise, and non-linear behavior. Therefore, the results may not always accurately reflect the actual behavior of a circuit.

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