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

Short Answer

Expert verified

The value of the capacitor,C=1.59×10-6F

Step by step solution

01

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.

02

Find Capacitance

fc=1000Hz

R=100Ω

w=1RC

2πfc=1RC

Multiply both sides byR

2πfcR=1C

C=12πfcR

Fill in the blanks in the equation

localid="1650211859861" C=12π×(1000)Hz×(100)Ω

C=1.59×10-6F

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