Chapter 32: Q. 16 (page 924)

A high-pass $R C$ filter with a crossover frequency of $1000 H z$ uses a $100 Ω$ resistor. What is the value of the capacitor?

Short Answer

Expert verified

The value of the capacitor, $C = 1.59 \times 10^{- 6} F$

Step by step solution

RC Filter

The opposite is true for an RC high-pass filter, commonly known as an RC Differentiator.

As seen above, the input signal is applied directly to the capacitor via a resistor in parallel with the output.

High-frequency signals can travel through this arrangement, whereas low-frequency impulses are blocked by the capacitor.

Find Capacitance

$f_{c} = 1000 Hz$

$R = 100 Ω$

$w = \frac{1}{R C}$

$2 π f_{c} = \frac{1}{R C}$

Multiply both sides by $R$

$2 π f_{c} R = \frac{1}{C}$

$C = \frac{1}{2 π f_{c} R}$

Fill in the blanks in the equation

localid="1650211859861" $C = \frac{1}{2 π \times (1000) H z \times (100) Ω}$

$C = 1.59 \times 10^{- 6} F$

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A high-pass $R C$ filter with a crossover frequency of $1000 H z$ uses a $100 Ω$ resistor. What is the value of the capacitor?

Short Answer

Step by step solution

RC Filter

Find Capacitance

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A high-pass RCfilter with a crossover frequency of1000Hz uses a 100Ω resistor. What is the value of the capacitor?

Short Answer

Step by step solution

RC Filter

Find Capacitance

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Magnetism

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Study anywhere. Anytime. Across all devices.

A high-pass $R C$ filter with a crossover frequency of $1000 H z$ uses a $100 Ω$ resistor. What is the value of the capacitor?