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The transfer function of a compensating network is in the form of (1 +aTs) / (1 + Ts). Find the value of 'a' if the given network is the phase-lag network.
- a)Between 0 and 1.
- b)0
- c)1
- d)Greater than 1
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The transfer function of a compensating network is in the form of (1 +...
The given transfer function is:
(1 +aTs) / (1 + Ts)
We will first calculate the poles and zeroes of the given transfer function.
Here,
Zero = -1/aT
Pole = -1/T
The pole in the given system is nearer to the jω axis (origin). The 0 will be far from the axis, such that the value of a < 1. It means that the value lies between 0 and 1.
Hence, the correct answer is an option (a).
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The transfer function of a compensating network is in the form of (1 +...
Explanation:
Given Transfer Function:
The given transfer function of the compensating network is (1 + aTs) / (1 + Ts), where 'a' is a constant and 'T' is the time constant.
Phase-Lag Network:
In a phase-lag network, the transfer function is of the form (1 + aTs) / (1 + Ts), where 'a' is between 0 and 1.
Finding the Value of 'a':
To determine the value of 'a' for a phase-lag network, we need to ensure that 'a' falls between 0 and 1. This is because in a phase-lag network, the additional phase shift introduced by the network should be less than 90 degrees.
Correct Answer:
The correct value of 'a' for a phase-lag network is between 0 and 1, which is option 'A'.
Therefore, the value of 'a' for the given compensating network, which is a phase-lag network, should be between 0 and 1.
Given Transfer Function:
The given transfer function of the compensating network is (1 + aTs) / (1 + Ts), where 'a' is a constant and 'T' is the time constant.
Phase-Lag Network:
In a phase-lag network, the transfer function is of the form (1 + aTs) / (1 + Ts), where 'a' is between 0 and 1.
Finding the Value of 'a':
To determine the value of 'a' for a phase-lag network, we need to ensure that 'a' falls between 0 and 1. This is because in a phase-lag network, the additional phase shift introduced by the network should be less than 90 degrees.
Correct Answer:
The correct value of 'a' for a phase-lag network is between 0 and 1, which is option 'A'.
Therefore, the value of 'a' for the given compensating network, which is a phase-lag network, should be between 0 and 1.
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