Home › Calculators › ND Filter Calculator

ND Filter Calculator

Meter the scene without the filter, enter that shutter speed and your ND filter strength, and get the long exposure time to use with it. Works with stops, ND numbers (ND8, ND1000) or optical density (0.9, 3.0), and shows the time in mm:ss for your timer.

Last updated:

Meter without the filter; e.g. 1/125, 1/30, 0.5 or 2

stops

e.g. 2 for a polarizer, or another ND.

Enter your values to see the result.
Advertisement
Advertisement

How to use the ND Filter Calculator

  1. Meter the scene without the filter and note the shutter speed at your chosen aperture and ISO.
  2. Enter that shutter speed, for example 1/125.
  3. Enter the filter strength and choose whether it is in stops, ND number or density.
  4. Add a stacked filter if you use two filters together.
  5. Set the new shutter speed, or use Bulb mode with a remote and the mm:ss timer value for long exposures.

ND filter formula

New shutter time = base time × 2stops. Stops from an ND number (filter factor F): stops = log₂(F). Stops from optical density D: stops = D ÷ log₁₀(2) ≈ D ÷ 0.301.

Example: base 1/60 s with a 6-stop filter → 1/60 × 64 = 1.07 s. Adding a 2-stop polarizer gives 8 stops: 1/60 × 256 = 4.3 s.

ND filter chart

StopsND number (factor)Optical densityLight passed1/125 s becomes1/30 s becomes
1ND20.350%1/60 s1/15 s
2ND40.625%1/30 s1/8 s
3ND80.912.5%1/15 s1/4 s
4ND161.26.25%1/8 s0.5 s
6ND641.81.56%0.5 s2.1 s
8ND2562.40.39%2 s8.5 s
10ND10003.00.1%8 s33 s
13ND80003.90.0125%1 min 6 s4 min 33 s
15ND320004.50.003%4 min 22 s18 min 12 s

Filter factors are rounded on the box: ND1000 is really 29.97 and a "10-stop" filter is 210 = 1024×. The difference is less than 3% of the time.

Frequently asked questions

How do I calculate shutter speed with an ND filter?

Multiply the base shutter speed by 2 raised to the number of stops: new time = base × 2^stops. With a 10-stop filter, 1/125 s becomes 1/125 × 1024 ≈ 8.2 s.

What do ND numbers like ND8 or ND1000 mean?

The number is the filter factor: how many times less light passes. ND8 passes 1/8 of the light (3 stops), ND64 passes 1/64 (6 stops) and ND1000 passes 1/1000 (about 10 stops).

What is optical density (ND 0.9, ND 3.0)?

Optical density is the base-10 logarithm of the filter factor. Each 0.3 of density is about one stop: ND 0.9 = 3 stops, ND 1.8 = 6 stops and ND 3.0 = 10 stops.

Which ND filter should I buy for long exposures?

A 6-stop filter turns daylight shutter speeds into a fraction of a second to a few seconds, good for silky water. A 10-stop filter gives 15 to 60 seconds in daylight for smooth seas and streaking clouds. 15-stop filters allow minutes-long exposures in bright sun.

What if the time is longer than 30 seconds?

Most cameras only offer timed shutter speeds up to 30 s. Use Bulb mode with a remote release or intervalometer and time the exposure with the mm:ss value shown.

Why is my long exposure darker or color-shifted?

Strong ND filters can leak light through the viewfinder (cover it) and many add a slight color cast that you can fix with white balance. Digital sensors do not suffer reciprocity failure, but film does, so add time with film according to its datasheet.

Are all the tools on FreeToolCabin tested for quality and accuracy?

Yes! Every tool on our site undergoes automated Q/A testing in real browser environments to ensure high precision, correct output, and zero errors. If you happen to spot a bug or have a suggestion, please contact us at [email protected] and our team will review it right away.

Related tools

Exposure Value CalculatorEV from aperture, shutter and ISO, or solve any missing setting with sunny 16 presets.500 Rule Astrophotography CalculatorMax shutter speed before star trails with the 500 rule and NPF rule for your camera.Depth of Field CalculatorNear and far focus limits, depth of field and hyperfocal distance for any camera or lens.StopwatchOnline stopwatch with laps, fullscreen mode and CSV export.Camera Shutter Count CheckerFind your camera's shutter count from a JPG or RAW photo. Nikon, Pentax, some Sony and Canon.Photo StackingStack photos online: star trails (lighten), noise reduction (mean) and remove passers-by (median).Ohm's Law CalculatorSolve voltage, current, resistance and power from any two values.Resistor Color Code CalculatorRead 4, 5 and 6 band resistor colors, or find colors for a value.Electricity Cost CalculatorEstimate kWh usage and electricity costs.Capacitor Code CalculatorDecode 3-digit capacitor codes to pF, nF and µF, and back.Power Factor CalculatorCalculate power factor, kW, kVA and kVAR, and correction capacitor size.EV Charging Cost CalculatorCost to charge an electric car, per charge, per mile and per km.LED Resistor CalculatorFind the resistor for an LED, with nearest standard value and wattage.Voltage Divider CalculatorVout from R1, R2 and Vin, with loaded and unloaded output.Battery Life CalculatorEstimate how long a battery lasts from its mAh or Wh and the load.Series & Parallel Resistor CalculatorAdd resistors in series or parallel and find standard value combinations.555 Timer CalculatorAstable frequency, duty cycle and monostable pulse width for the NE555 timer.Wire Size CalculatorFind the AWG or kcmil wire size for a load from amps, distance, voltage and allowed voltage drop.Solar Panel CalculatorEstimate solar system size, number of panels and roof area from your monthly kWh and sun hours.Voltage Drop CalculatorVoltage drop in volts and percent for copper or aluminum wire, AWG or mm², 1- or 3-phase.RC Time Constant Calculatorτ = RC, charge % at 1-5τ, and capacitor charge or discharge voltage at any time t.Resonant Frequency CalculatorLC resonant frequency f = 1/(2π√LC), or solve the inductance or capacitance you need.Capacitor Series and Parallel CalculatorTotal capacitance of capacitors in series or parallel, plus stored energy ½CV² and charge.Generator Size CalculatorAdd appliance running and starting watts to find the generator size you need.LED Savings CalculatorYearly savings, kWh saved and payback time when switching old bulbs to LED.Battery Bank Size CalculatorSize a solar or off-grid battery bank: Ah, kWh and battery count from daily Wh and autonomy.Battery Charge Time CalculatorHow long to charge a battery: mAh or Ah, charger current, efficiency and current charge %.Circuit Breaker Size CalculatorBreaker size from watts or amps, voltage and the 125% continuous rule, with a wire gauge.Conduit Fill CalculatorCheck conduit fill % against the NEC 40% limit for EMT, PVC, RMC and more, with pass/fail.Home Electrical Load CalculatorHome service load in VA and amps with NEC demand factors and a 100/150/200 A recommendation.EV Charging Time CalculatorHow long to charge an EV: battery kWh, charge levels and charger kW, with Level 1/2/DC presets.RLC Impedance CalculatorSeries or parallel RLC impedance, phase angle, resonant frequency and Q at any frequency.Inverter Size CalculatorFind the inverter size for your appliances: continuous watts, surge and battery current.Op Amp Gain CalculatorInverting, non-inverting or differential op amp gain in V/V and dB, with output voltage.PCB Trace Width CalculatorMinimum PCB trace width for a current per IPC-2221, for internal and external layers.RC Filter Cutoff CalculatorRC low-pass or high-pass cutoff frequency, solve R or C, with a Bode magnitude chart.Reactance CalculatorInductive and capacitive reactance at any frequency, or solve for L, C or frequency.SMD Resistor Code CalculatorDecode 3-digit, 4-digit and EIA-96 SMD resistor codes, or find the code for a value.LM317 CalculatorLM317 output voltage from R1 and R2, standard resistors for a target voltage, current limiter.Motor Full Load Current CalculatorFull load amps from motor hp or kW, voltage, phase, efficiency and power factor, with NEC values.Population Growth CalculatorExponential or logistic population growth over time with carrying capacity, table and chart.Rocket Launch ScheduleUpcoming orbital rocket launches with live countdowns, launch windows, pads and filters.Transformer Sizing CalculatorTransformer kVA needed from volts and amps or kW and PF, next standard size and full-load amps.Wire Resistance CalculatorWire resistance from material, AWG or diameter, length and temperature, plus voltage drop.Solar Panel Tilt Angle CalculatorBest fixed tilt, seasonal and monthly solar panel angles and direction for any latitude.Transformer Turns Ratio CalculatorSolve transformer voltage, turns or turns ratio, with primary/secondary current and VA.UPS Runtime CalculatorEstimate UPS battery backup time from battery V, Ah, count, efficiency and load, with Peukert.PC Power Supply CalculatorEstimate your PC's load watts and the PSU wattage you need, with efficiency running costs.Power to Weight Ratio CalculatorVehicle hp per tonne, lb per hp and kW/kg from power and weight; compare cars and bikes.Solar Charge Controller Size CalculatorSize an MPPT or PWM charge controller in amps from panel watts, Voc, Isc and battery voltage.4-20mA CalculatorScale a 4-20 mA signal to a process value and back, with percent and shunt voltage.Antenna Length CalculatorDipole, quarter-wave and 5/8-wave antenna lengths for any frequency or radio band.Battery Pack Calculator18650, 21700 or LiFePO4 series/parallel pack: voltage, Ah, Wh, max current and weight.DC Circuit SimulatorDraw batteries, resistors, bulbs and switches and see voltages and currents flow live.E-Bike Range CalculatorEstimate e-bike miles or km per charge from battery Wh, assist level, weight, speed and hills.Lewis Structure GeneratorDraw Lewis dot structures with valence electrons, lone pairs, formal charges and VSEPR shape.
See all 51 Electrical & Electronics Calculators →