Forced Response of RC Circuit: Derivation and Solution

In summary, the conversation discusses the forced response for an RC circuit and how to derive it. The equations used for the forced response in an RL circuit are also mentioned. The speaker is asking for help with finding the voltage of the capacitor, but it is unclear what they are trying to accomplish.
  • #1
Ammar w
28
0

Homework Statement



what is the forced response for Rc cct. and how to derive it??

Homework Equations



I know that the forced response in RL cct. is :
i = cos (ωt - tan^-1

we start from :

Vm cos (ωt) = Ri + L

and

i = I am cos (ωt-θ)

Can anyone help please!
 
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  • #2
just give me the voltage of capacitor law.
I don't know how to start,
 
  • #3
It's not clear from your description what it is you're trying to do. Are you trying to write and solve the differential equation for the current in a series RC circuit? Or do you just want the steady-state AC response (AC current given the AC driving voltage)? Something else?
 

FAQ: Forced Response of RC Circuit: Derivation and Solution

What is forced response for RC circuits?

Forced response in RC circuits refers to the behavior of the circuit when an external voltage or current source is connected to it. This external source causes the circuit to respond in a specific way, which can be calculated using mathematical equations.

What is the purpose of studying forced response for RC circuits?

Studying forced response for RC circuits allows us to understand how the circuit will behave in real-world applications where it is connected to an external source. This is important for designing and optimizing the performance of RC circuits in various electronic devices.

How is forced response for RC circuits calculated?

The forced response for RC circuits can be calculated using the principles of superposition and the impedance concept. The circuit's response can be broken down into two components - the natural response and the forced response. The forced response is calculated by considering the external source and its corresponding impedance in the circuit.

What factors can affect the forced response for RC circuits?

The forced response for RC circuits can be affected by various factors such as the frequency of the external source, the impedance of the source, and the values of the resistance and capacitance in the circuit. These factors can impact the amplitude, phase, and shape of the forced response.

What are some real-world applications of forced response for RC circuits?

Forced response for RC circuits is used in various electronic devices such as amplifiers, filters, and oscillators. It is also utilized in communication systems, power supplies, and control systems. Understanding the forced response allows engineers to design and optimize these circuits for specific applications.

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