Finding Initial Current and Natural Response in an RL Circuit

In summary, The conversation discusses a circuit problem involving an inductor and a dependent source. It is mentioned that the inductor is initially a short circuit and the current through the 4.5Ohm resistor can be used to find the initial current. After the switch is closed, the natural response equation for the inductor's current is needed and the circuit needs to be thevenized to find the equivalent resistance. The conversation ends by mentioning that the problem has been solved and offering to help others with the same circuit.
  • #1
csmix
2
0
Can anyone please help me slove this example circuit i found.
im having a hard time finding the initial current through the inductor and duno how to deal with the dependent source and inductor after the switch is opened.
 

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  • #2
What's the diamond shaped thing? Is that a current controlled voltage source or a current controlled current source?

What equations have you been able to set up so far? Is this a homework problem?
 
  • #3
berkeman said:
What's the diamond shaped thing? Is that a current controlled voltage source or a current controlled current source?

What equations have you been able to set up so far? Is this a homework problem?

Looks like a current controlled voltage source.

To the OP -- you're going to have to show some work, like berkeman said.
 
  • #4
thanks for feed back but i have figured it out. If anyone else needs help with this circuit i'll get u guys started. to find initial current at t=0- the inductor is a short circuit so Io is just the current through the 4.5Ohm resistor.

After the switch is closed to find iL(t) for t >=0 you will need to use the natural response equation for the current of an inductor which means u will need to find Req for tao. to find Req u need to thevenize the circuit by creating an open circuit at the inductor and finding Voc=Vth then the R in the standard form would be Vth/Itotal.
 

FAQ: Finding Initial Current and Natural Response in an RL Circuit

What is an RL circuit?

An RL circuit is an electrical circuit that contains a resistor (R) and an inductor (L). These two components are connected in series, meaning the current flows through both of them in the same path.

What is the natural response of an RL circuit?

The natural response of an RL circuit refers to the behavior of the current and voltage in the circuit when it is first turned on or off. It is the response of the circuit without any external input or source.

How does an inductor affect the natural response of an RL circuit?

An inductor resists changes in current, so when an RL circuit is first turned on or off, the inductor will cause a temporary buildup or decrease in current. This results in a characteristic "decay" or "growth" in the voltage and current over time.

What is the time constant in an RL circuit?

The time constant in an RL circuit is a measure of how quickly the current and voltage will reach their steady-state values after the circuit is turned on or off. It is calculated by dividing the inductance (L) by the resistance (R).

How does the time constant affect the natural response of an RL circuit?

The time constant determines the rate of change in the current and voltage over time. A smaller time constant means the current and voltage will reach their steady-state values faster, while a larger time constant results in a slower response.

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