Question

Assertion (A): With lag-lead compensator, the bandwidth of the system is not affected much. Reason (R): The effect of lag and lead compensation at high frequencies cancel one another.

• A. Both (A) and (R) are correct and (R) is the correct explanation
• B. Both (A) and (R) are correct but (R) is not correct explanation
• C. (A) is correct but (R) is incorrect
• D. (A) is incorrect but (R) is correct

Hint:

Lag-lead = balance of speed and accuracy → minimal bandwidth change.

Answer 1

The Correct Option is A

Concept: Lag-lead compensator combines:
• Lag → improves steady-state accuracy
• Lead → improves transient response

Step 1: Assertion Lag-lead compensator balances both effects, so bandwidth change is minimal. \[ \Rightarrow \text{Assertion is TRUE} \]

Step 2: Reason At high frequencies:
• Lead increases gain
• Lag decreases gain These effects cancel each other. \[ \Rightarrow \text{Reason is TRUE and explains Assertion} \] \[ \therefore \text{Correct answer is (A)} \]