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  • Question

  • In the given figure, the input frequency is such that R = XC. Then
    In the given figure, the input frequency is such that R = XC. Then v0 lags vi by 45° v0 lags vi by 9


  • Options
  • A. v0 lags vi by 45°
  • B. v0 lags vi by 90°
  • C. v0 leads vi by 45°
  • D. v0 leads vi by 90°

  • Correct Answer
  • v0 lags vi by 45° 

    Explanation
    R = XC, voltage drops across R and XC are equal and at 90° with respect by each other. V0 lags Vi by 45°.

    Automatic Control Systems problems

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    • 1. For the circuit in the given figure, V2(s)/V1(s) =

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 2. For the given figure C(s)/R(s)

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 3. For the circuit in the given figure,

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 4. If a system is to follow arbitrary inputs accurately the bandwidth should be

    • Options
    • A. large
    • B. small
    • C. very small
    • D. neither small nor large
      • Discuss
    • 5. Bode magnitude plot is drawn between

    • Options
    • A. magnitude of network function and ?
    • B. dB magnitude and log ?
    • C. dB magnitude and ?
    • D. loge (magnitude) and log ?
      • Discuss
    • 6. For the control system in the given figure, the value of K for critical damping is

    • Options
    • A. 1
    • B. 5.125
    • C. 6.831
    • D. 10
      • Discuss
    • 7. First column elements of Routh's tabulation are 3, 5, , 2. It means that there

    • Options
    • A. is one root in left half s plane
    • B. are two roots in left half s plane
    • C. are two roots in right half s plane
    • D. is one root in right half s plane
      • Discuss
    • 8. Consider the systems with following open loop transfer functions

      If unity feedback is used, the increasing order of time taken for unit step response to settle is

    • Options
    • A. 1, 2, 3
    • B. 3, 1, 2
    • C. 2, 3, 1
    • D. 3, 2, 1
      • Discuss
    • 9. When a unit step voltage drives a lag network the output

    • Options
    • A. remains constant at unit step value
    • B. increases exponentially from zero to final value
    • C. decreases exponentially from 1 to 0
    • D. either (b) of (c) depending on values of R and C
      • Discuss
    • 10. In a minimum phase system

    • Options
    • A. all poles lie in the left half plane
    • B. all zeros lie in the left half plane
    • C. all poles lie in the right half plane
    • D. all except one pole or zero lie in the left half plane
      • Discuss

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