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Questions and Answers
What is the transfer function of a capacitive differentiator at frequencies below the natural frequency of the pole?
What is the transfer function of a capacitive differentiator at frequencies below the natural frequency of the pole?
- $Y = sRCX$
- $Y \approx sRCX$ (correct)
- $Y = \frac{sRCX}{1+sRC}$
- $Y = \frac{R}{R+\frac{1}{sC}}X$
What components are included in a passive differentiator circuit?
What components are included in a passive differentiator circuit?
- Resistors and capacitors (correct)
- Capacitors and inductors
- Resistors and inductors
- Resistors, capacitors, and inductors
Why can't a true differentiator be physically realized?
Why can't a true differentiator be physically realized?
- It has zero gain at zero frequency
- It has infinite gain at infinite frequency (correct)
- It has zero gain at infinite frequency
- It has infinite gain at zero frequency
What type of filter is a differentiator circuit essentially?
What type of filter is a differentiator circuit essentially?
What is the transfer function of an inductive differentiator?
What is the transfer function of an inductive differentiator?
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
What are the fundamental truths of mathematics independent from?
What are the fundamental truths of mathematics independent from?
Which areas of study extensively use mathematics for modeling phenomena?
Which areas of study extensively use mathematics for modeling phenomena?
Which areas of mathematics are often grouped under applied mathematics?
Which areas of mathematics are often grouped under applied mathematics?