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The response of a system to non-zero initial conditions is called forced response transient response free response steady state response

Question

The response of a system to non-zero initial conditions is called forced response transient response free response steady state response

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Solution

The response of a system to non-zero initial conditions is called the transient response.

Here's a step-by-step explanation:

  1. When a system is subjected to an input signal, it responds in a certain way. This response can be categorized into two types: the transient response and the steady-state response.

  2. The transient response is the response of the system when it moves from one state to another. It's the response of the system from the time the input is applied until it reaches steady state.

  3. Non-zero initial conditions refer to the state of the system at the start of the response. If the system is not at rest (i.e., the initial conditions are not zero), the response of the system to these initial conditions is part of the transient response.

  4. Therefore, the response of a system to non-zero initial conditions is called the transient response.

The other terms mentioned in the question - forced response, free response, and steady state response - are different aspects of a system's response to an input signal. The forced response is the response to a specific input signal, the free response is the response to initial conditions only (with no input signal), and the steady state response is the response after the transient response has died out.

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