Electronics: Differentiator Circuit Quiz
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Questions and Answers

What type of circuit is a differentiator?

  • Band-pass filter
  • High-pass filter (correct)
  • Band-stop filter
  • Low-pass filter

    • What is the transfer function of a capacitive differentiator?

  • $Y = \frac{Z_{R}}{Z_{R}+Z_{C}}X$
  • $Y = sRCX$
  • $Y = \frac{R}{R+\frac{1}{sC}}X$
  • $Y = \frac{sRC}{1+sRC}X$ (correct)

    • Why can't a true differentiator be physically realized?

  • It has infinite gain at low frequency.
  • It has limited gain at low frequency.
  • It has limited gain at high frequency.
  • It has infinite gain at high frequency. (correct)

    • What does the transfer function of an inductive differentiator look like?

    <p>$Y = \frac{sRL}{1+sRL}X$</p> Signup and view all the answers

    What components are included in a passive differentiator circuit?

    <p>Resistors and capacitors</p> Signup and view all the answers

    What is another name for limit inferior?

    <p>Infimum limit</p> Signup and view all the answers

    How is the limit superior of a sequence denoted?

    <p>$\varlimsup_{n \to \infty} x_n := \limsup_{n \to \infty} x_n$</p> Signup and view all the answers

    How are the limit inferior and limit superior defined for a sequence (x_n)?

    <p>$\liminf_{n \to \infty} x_n = \lim_{n \to \infty}\inf_{k\geq n}x_k$ and $\limsup_{n \to \infty} x_n = \lim_{n\to\infty}\sup_{k\geq n}x_k$</p> Signup and view all the answers

    What do the limit inferior and limit superior extract from multiple objects around which a sequence accumulates?

    <p>Smallest and largest of them, respectively</p> Signup and view all the answers

    What are the limit points for which the limit inferior and limit superior are infimum and supremum, respectively?

    <p>$\inf$ and $\sup$ of the set's limit points, respectively</p> Signup and view all the answers

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