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The negative feedback closed-loop system was subjected to 15V. The system has a forward gain of 2 and a feedback gain of 0.5. Determine the output voltage and the error voltage.
- a)15V, 10V
- b)6V, 5V
- c)15V, 7.5V
- d)5V, 10V
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The negative feedback closed-loop system was subjected to 15V. The sys...
Given:
G(s) = 2
H(s) = 0.5 and R(s) = 10V
Output voltage:
G(s) = 2
H(s) = 0.5 and R(s) = 10V
Output voltage:
= (2/1 + 2 x 0.5) x 15 = 15V
Error voltage:
Error voltage:
= (1/1 + 2 x 0.5) x 15 = 7.5V
Most Upvoted Answer
The negative feedback closed-loop system was subjected to 15V. The sys...
Given:
Forward gain = 2
Feedback gain = 0.5
Input voltage = 15V
To find:
Output voltage and error voltage
Solution:
We know that the closed-loop gain of the system is given by:
A = A_f / (1 + A_f*A_b)
where,
A_f = forward gain
A_b = feedback gain
Substituting the given values, we get:
A = 2 / (1 + 2*0.5) = 0.667
Thus, the output voltage is given by:
V_out = A * V_in = 0.667 * 15V = 10V
To find the error voltage, we use the formula:
V_error = V_in - V_f
where,
V_f = feedback voltage
We know that the feedback voltage is given by:
V_f = A_b * V_out
Substituting the given values, we get:
V_f = 0.5 * 10V = 5V
Thus, the error voltage is given by:
V_error = V_in - V_f = 15V - 5V = 10V
Therefore, the output voltage is 10V and the error voltage is 10V. Hence, option C is the correct answer.
Forward gain = 2
Feedback gain = 0.5
Input voltage = 15V
To find:
Output voltage and error voltage
Solution:
We know that the closed-loop gain of the system is given by:
A = A_f / (1 + A_f*A_b)
where,
A_f = forward gain
A_b = feedback gain
Substituting the given values, we get:
A = 2 / (1 + 2*0.5) = 0.667
Thus, the output voltage is given by:
V_out = A * V_in = 0.667 * 15V = 10V
To find the error voltage, we use the formula:
V_error = V_in - V_f
where,
V_f = feedback voltage
We know that the feedback voltage is given by:
V_f = A_b * V_out
Substituting the given values, we get:
V_f = 0.5 * 10V = 5V
Thus, the error voltage is given by:
V_error = V_in - V_f = 15V - 5V = 10V
Therefore, the output voltage is 10V and the error voltage is 10V. Hence, option C is the correct answer.
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The negative feedback closed-loop system was subjected to 15V. The system has a forward gain of 2 and a feedback gain of 0.5. Determine the output voltage and the error voltage.a)15V, 10Vb)6V, 5Vc)15V, 7.5Vd)5V, 10VCorrect answer is option 'C'. Can you explain this answer?
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