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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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Most Upvoted 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:
= (2/1+2x 0.5) x 15 = 15V
Error voltage:
= (1/1+2x 0.5) x 15 = 7.5V
Hence the correct answer is option (c).
G(s) = 2
H(s) = 0.5 and R(s) = 10V
Output voltage:
= (2/1+2x 0.5) x 15 = 15V
Error voltage:
= (1/1+2x 0.5) x 15 = 7.5V
Hence the correct answer is option (c).
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Community Answer
The negative feedback closed-loop system was subjected to 15V. The sys...
Given information:
- Input voltage (V_in) = 15V
- Forward gain (A_f) = 2
- Feedback gain (A_b) = 0.5
To determine the output voltage and error voltage, we can use the formula for the closed-loop gain of a negative feedback system:
A_CL = A_f / (1 + A_f * A_b)
where A_CL is the closed-loop gain.
Calculating the closed-loop gain:
A_CL = 2 / (1 + 2 * 0.5)
= 2 / (1 + 1)
= 2 / 2
= 1
This means that the closed-loop gain of the system is 1.
Next, we can use the formula for the output voltage in a negative feedback system:
V_out = A_CL * V_in
Substituting the values:
V_out = 1 * 15
= 15V
Therefore, the output voltage is 15V.
To find the error voltage, we can use the formula:
V_error = V_in - V_out
Substituting the values:
V_error = 15 - 15
= 0V
Therefore, the error voltage is 0V.
Summary:
- The output voltage is 15V.
- The error voltage is 0V.
- Input voltage (V_in) = 15V
- Forward gain (A_f) = 2
- Feedback gain (A_b) = 0.5
To determine the output voltage and error voltage, we can use the formula for the closed-loop gain of a negative feedback system:
A_CL = A_f / (1 + A_f * A_b)
where A_CL is the closed-loop gain.
Calculating the closed-loop gain:
A_CL = 2 / (1 + 2 * 0.5)
= 2 / (1 + 1)
= 2 / 2
= 1
This means that the closed-loop gain of the system is 1.
Next, we can use the formula for the output voltage in a negative feedback system:
V_out = A_CL * V_in
Substituting the values:
V_out = 1 * 15
= 15V
Therefore, the output voltage is 15V.
To find the error voltage, we can use the formula:
V_error = V_in - V_out
Substituting the values:
V_error = 15 - 15
= 0V
Therefore, the error voltage is 0V.
Summary:
- The output voltage is 15V.
- The error voltage is 0V.
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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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