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Differentiator Circuits Quiz

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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?

$Y = sRCX$

$Y \approx sRCX$ (correct)

$Y = \frac{sRCX}{1+sRC}$

$Y = \frac{R}{R+\frac{1}{sC}}X$

What components are included in a passive differentiator circuit?

Resistors and capacitors (correct)

Capacitors and inductors

Resistors and inductors

Resistors, capacitors, and inductors

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?

High-pass filter (B) Signup and view all the answers

What is the transfer function of an inductive differentiator?

The transfer function of the inductive differentiator has a zero in the origin and a pole in $-\frac{R}{L}$ (C) Signup and view all the answers

What are the major subdisciplines of modern mathematics?

Number theory, algebra, geometry, and analysis (A) Signup and view all the answers

What is the primary method used in mathematical activity?

Discovery of properties of abstract objects and use of pure reason (D) Signup and view all the answers

What are the fundamental truths of mathematics independent from?

Any scientific experimentation (B) Signup and view all the answers

Which areas of study extensively use mathematics for modeling phenomena?

Natural sciences, engineering, medicine, finance, computer science, and social sciences (D) Signup and view all the answers

Which areas of mathematics are often grouped under applied mathematics?

Statistics and game theory (C) Signup and view all the answers