Consider an RL circuit with an initial current of Io for t<0, and then for t>0, the circuit is excited with a 10 V DC source, the complete response of the circuit will be a combination of? Only natural responseOnly final valueOnly steady-state valueBoth natural and final values
Question
Consider an RL circuit with an initial current of Io for t<0, and then for t>0, the circuit is excited with a 10 V DC source, the complete response of the circuit will be a combination of? Only natural responseOnly final valueOnly steady-state valueBoth natural and final values
Solution
The complete response of the circuit will be a combination of both natural and final values.
Here's why:
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Natural Response: This is the response of the circuit when it's left to its own devices, i.e., no external voltage or current is applied. It's also known as the transient response. In this case, the RL circuit will naturally try to resist any changes in current due to its inductance. This is represented by the initial current Io for t<0.
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Final Value: This is the response of the circuit when it has reached a steady state after being excited by an external source. In this case, it's the 10 V DC source for t>0. The circuit will eventually reach a steady state where the current is constant.
So, the complete response of the circuit is a combination of how the circuit naturally reacts to changes in current (natural response) and how it behaves when a constant voltage is applied for a long period of time (final value).
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