Driver FixRecommendedSound, Wi-Fi or graphics acting up? Check drivers firstFind missing or outdated drivers fast.Check DriversOctober DealsAmazon USOctober deal check: compare before you payAmazon US: current deals, useful picks and tech finds.Check DealsWindows FixRecommendedWindows errors stealing your time? Find the fix fastScan stability, cleanup and performance issues.Fix Now×
Skip to content
World desk2 min

Why Is an RC Filter’s Cutoff Frequency −3 dB?

An RC filter’s −3 dB cutoff is its half-power point: about 70.7% of passband voltage for equal impedances, not half the voltage.
Special offer. See more information about Outbyte and uninstall instructions. Please review EULA and Privacy policy.

An RC filter’s cutoff is called the −3 dB point because, at that frequency, its output power is half the passband power. With the same impedance, that corresponds to an output voltage about 70.7% of the passband voltage—not 50%. The label marks a point on a gradual response curve, not a frequency where the filter suddenly stops working.

How the −3 dB value comes from half power

Decibels express ratios on a logarithmic scale. For power, the level change is 10 log10(Pout/Pin). At half power, this is 10 log10(1/2) = −3.0103 dB, conventionally rounded to −3 dB.

As an Amazon Associate I earn from qualifying purchases.

For voltage, the decibel formula is 20 log10(Vout/Vref). When the compared voltages are across equal impedances, power varies with voltage squared. Half power therefore means a voltage ratio of 1/√2, or about 0.707. The IEEE Technology Navigator describes the half-power point as an approximately 0.707 voltage ratio and a 3.01 dB drop: IEEE Technology Navigator.

Special offer. See more information about Outbyte and uninstall instructions. Please review EULA and Privacy policy.

That equal-impedance qualification matters: a voltage ratio does not by itself establish a power ratio if the impedances differ.

#1 Best Overall
Phoncoo 418MHZ Remote Control Key Garage Electric gate Remote Control Universal to Copy
  • The item is New and good quality.
  • Tested before shipping.
  • ♥ Type:RC Filter♥ Weight:0.3kg (0.66lb.)
  • Easy to use.
  • Any question please contact me,have a nice day.

Where the corner occurs in a first-order RC low-pass

For an ideal, unloaded first-order low-pass with output taken across the capacitor, the transfer-function magnitude is |H(jω)| = 1/√(1 + (ωRC)2). At the corner, ωRC = 1, so the magnitude is 1/√2 of its passband value.

Since angular frequency ω = 2πf, the cutoff is fc = 1/(2πRC), or equivalently ωc = 1/RC. Microchip’s Bode Plot technical reference identifies this first-order RC relationship as the −3 dB point.

Rank #2
Sale
HobbyPark RC Nitro Car Starter Kit & RC Air Filter
  • Package Include: Glow Plug Ignitor (AA Battery Type), Charger(1), Fuel Bottle(1),Hex Crosses Wrench(2), Screw Drivers(2), Aluminum capped air filter w/ element(1)

What happens at and beyond cutoff

  • At cutoff: The ideal first-order low-pass output is about 70.7% of its passband voltage; under equal-impedance comparison, its power is half. Its phase shift is −45°.
  • Above cutoff: The low-pass continues to attenuate rather than switching off. Its ideal first-order magnitude response approaches a slope of −20 dB per decade.
  • For a high-pass RC filter: The same half-power criterion is measured relative to the high-frequency passband, with the passband direction reversed.

Why a built circuit can differ from the simple formula

The expression fc = 1/(2πRC) assumes a simple first-order section that is not significantly loaded. Source resistance and the load connected to the output can change the effective circuit values and shift the observed corner. If a measured cutoff does not match the calculation, check the source and load impedances as well as the nominal resistor and capacitor values.

Special offer. See more information about Outbyte and uninstall instructions. Please review EULA and Privacy policy.
Independent reader supportYour contribution helps us test, update, and keep practical guides available for everyone.Support on Ko-Fi

What the −3 dB label does—and does not—tell you

The −3 dB convention gives a useful reference point, but a cutoff number alone does not describe an entire filter. When comparing designs, consider the required corner frequency, attenuation farther into the stopband (which depends on response and order), passband behavior, phase response, and the source and load impedances. Higher-order filter families may use other cutoff conventions or design definitions, so the −3 dB meaning should not be assumed without checking the specific response.

Quick Recap

Bestseller No. 1
Phoncoo 418MHZ Remote Control Key Garage Electric gate Remote Control Universal to Copy
Phoncoo 418MHZ Remote Control Key Garage Electric gate Remote Control Universal to Copy
The item is New and good quality.; Tested before shipping.; ♥ Type:RC Filter♥ Weight:0.3kg (0.66lb.)
$20.99
Bestseller No. 3
Luftschloss 10pcs 50V 10PF (100) Ceramic Capacitor
Luftschloss 10pcs 50V 10PF (100) Ceramic Capacitor
Capacitance:10PF (100); Voltage resistance: 50V; Pitch: 5.08mm,Installation method: in-line (2 feet)
$4.99
Bestseller No. 4
Kodass Absorption/Snubber Circuit Module Contact for Protection Resistance Sur Circuit Boards + Electronic Components
Kodass Absorption/Snubber Circuit Module Contact for Protection Resistance Sur Circuit Boards + Electronic Components
absorption circuit,absorb induced electromotive force that from inductive load.; To provide anti-interference ability of the circuit.
$5.99
Bestseller No. 5
E-Projects - Radial Electrolytic Capacitor, 2200uF, 10V, 105 C (Pack of 5)
E-Projects - Radial Electrolytic Capacitor, 2200uF, 10V, 105 C (Pack of 5)
Capacitance: 2200uF; Voltage: 10 Volts; Maximum Temperature: 105°C; Manufacturer: Various
$7.13
Best Value
E-Projects - Radial Electrolytic Capacitor, 2200uF, 10V, 105 C (Pack of 5)
  • Capacitance: 2200uF
  • Voltage: 10 Volts
  • Maximum Temperature: 105°C
  • Manufacturer: Various
Rank #4
Kodass Absorption/Snubber Circuit Module Contact for Protection Resistance Sur Circuit Boards + Electronic Components
  • absorption circuit module used on protecting the or thyristor because it can avoid amage that from inductive electromotive force generated by the inductive load when on or . Preventing electro interference and increasing the anti-jamming capability of the microcontroller.
  • For or for C 5 ~ 400V inductive load (less than 1000W), for protection contacts or thyristor.
  • absorption circuit,absorb induced electromotive force that from inductive load.
  • With varistor, to prevent excessive fluctuations in voltage or current is too large and resulting in contact adhesion.
  • To provide anti-interference ability of the circuit.
Rank #3
Luftschloss 10pcs 50V 10PF (100) Ceramic Capacitor
  • Capacitance:10PF (100)
  • Voltage resistance: 50V
  • Pitch: 5.08mm,Installation method: in-line (2 feet)
  • Monolithic capacitors are another name for multilayer ceramic capacitors, abbreviated as MLCCs.widely used in various military and civilian electronic machines and electronic equipment. Such as computers, telephones, program-controlled switches, sophisticated test equipment, radar communications, etc.
  • Excellent Humidity Resistance, Miniature Size, Wide Capacitance, Reliable Performance,fast switching speed, large power dissipation and good current performance you need

Product prices and availability are accurate as of the date/time indicated and are subject to change. Any price and availability information displayed on Amazon at the time of purchase will apply.

Leave a Reply

Your email address will not be published. Required fields are marked *

Special offer. See more information about Outbyte and uninstall instructions. Please review EULA and Privacy policy.

More from the Wire

  1. World desk4 min
    How to Spot an AI Voice Scam Before Sending MoneyDon’t rely on how a caller sounds. Pause, call back through a known number, and verify the emergency with another trusted person before sending money.
  2. Mountain View desk4 min
    Google’s SynthID Detector: How to Check AI-Generated Images, Video and AudioGoogle’s SynthID Detector looks for an embedded watermark in supported images, video and audio. Here is what its results do—and do not—show.
  3. Redmond desk20 min
    How to create a link to File or Folder in Windows 11Windows 11 gives you several ways to point to a file or folder without moving or duplicating it. You can create a desktop shortcut,…
Recommended PC Tool
Recommended PC Tool
Crashes, No Sound, or Screen Glitches?Free driver scan
Windows Errors? Fix Them Before They SpreadFree repair scan

Two free Windows tools

One Free Minute Could Fix That PC

Before you go - each of these free tools takes about a minute and tackles what quietly slows a Windows PC down.

Special offer. View Outbyte info, uninstall instructions, EULA, and Privacy Policy.