Question

A low-pass filter consists of a $100mF$capacitor in series with a $159\Omega$resistor. The circuit is driven by an $AC$source with a peak voltage of $5.00V$.

a. What is the crossover frequency $f_c$?

b. What is $V_{\mathrm{C}}$when $f=\frac{1}{2}{f}_{\mathrm{c}},f_{\mathrm{c}}$ and $2f_{\mathrm{c}}$?

Short answer

(a) Crossover frequency, $f_c=10\mathrm{Hz}$

(b) When $f=\frac{1}{2}{f}_C,f_C$and $2f_C$, $V_C$is independent of $f_C$

Step-by-step solution

Find Crossover frequency (part a)

a.

The frequency at which sound moves from one speaker to the following is understood because the crossover frequency.

The electronic crossover components during a passive speaker decide where the sound passes from the speaker channels to the sub woofer.

$C=100\mu F$(micro frequency)

$R=159\Omega$(ohm)

$V_o=5.00\mathrm{V}$(voltage)

$Hz$-hertz

For crossover frequency, we utilize a formula.

$w=\frac{1}{RC}$

$2\pi f_c=\frac{1}{RC}$

$=\frac{1}{RC}\times \frac{1}{2\pi }$

$f_c=\frac{1}{2\pi RC}$

In place of the values

localid="1650212366547" $f_c=\frac{1}{2\pi \times 159\Omega \times 100\times {10}^{-6}F}$

$f_c=10\mathrm{Hz}$

Explain and derive the values (part b)

b.

The voltage of a secondary printing plate during a cathode-ray storage tube with regard to the cathode voltage, upon which emission is unity.

$V_c$is independent of$f_c$