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CarAudioCalc

Electrical calculator

Car Audio Capacitor Size Calculator

Quick answer

One farad at 14.4 volts stores about 104 joules. A 1,000 watt amplifier draws roughly 87 amps, so a one farad capacitor holds the rail up for about six thousandths of a second per volt of allowed sag. A capacitor is a very small fix for a charging system problem.

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Result

What the physics asks for 17.36 F Published figure
What the rule of thumb says 1 F Convention
Energy stored by the rule of thumb size 103.7 J Published figure
How long that lasts at your draw 0.006 s Published figure

At 86.8 amps of draw, the rule of thumb capacitor holds the rail up for about 0.006 seconds. A bass note lasts longer than that, which is the whole reason a capacitor does less than people expect.

The formula

Energy E = 0.5 x C x V^2, and capacitance for a given sag C = I x t / dV

The "one farad per thousand watts" figure is a CONVENTION with no measurement behind it. The physics line is the one to trust. If your lights dim on bass notes, the honest answers in order are the big 3 upgrade, then a second battery, then a higher output alternator. A capacitor is last and it is the smallest of the four.

The figures above are computed with these exact inputs: Total system RMS power 1000 W, Voltage sag you will accept 0.5 V, Length of the bass note 0.1 s.

What this calculator assumes

Some of these are published physics or manufacturer figures and some are conventions. They are not the same kind of number, so each one is labeled.

AssumptionKindWhere it comes from
Farad Per Thousand Watts: 1ConventionThe "one farad per thousand watts" rule of thumb. It is the most repeated figure in car audio and it has no measurement behind it. One farad at 14.4 volts stores about 104 joules, which a 1,000 watt amplifier consumes in roughly a tenth of a second
Stored energy in a capacitorPublished figureStored energy in a capacitor, E = 0.5 x C x V^2, and the discharge relation C = I x t / dV
Class D Efficiency: 0.8ConventionA planning efficiency for a class D mobile amplifier at typical listening levels. Real efficiency varies with load impedance, output level and the amplifier itself, and no standards body publishes a single figure

Gear that matches this result

Every card below is in the page source. The calculator re-ranks them against your numbers and marks anything that falls short of what you just calculated.

Frequently asked questions

How does the capacitor size calculation work?
Energy E = 0.5 x C x V^2, and capacitance for a given sag C = I x t / dV. The "one farad per thousand watts" figure is a CONVENTION with no measurement behind it. The physics line is the one to trust. If your lights dim on bass notes, the honest answers in order are the big 3 upgrade, then a second battery, then a higher output alternator. A capacitor is last and it is the smallest of the four.
Are these figures published or are they rules of thumb?
Both, and the page labels which is which. The Helmholtz port relation, the Thiele/Small alignment equations, cone area geometry, Ohm’s law, conductor resistance and ampacity, and manufacturer specifications are published and are labeled as such. Amplifier efficiency, cabin gain, the farad per thousand watts rule, port area per cubic foot and coverage percentages are conventions with no measurement behind them, and they are labeled as conventions.
Why does this calculator sometimes refuse to give an answer?
Because there genuinely is not one. A port can be too large in area for the box and tuning asked of it, a vented alignment stops describing a useful box outside a Qts range, and a sealed box cannot produce a total Q below the driver’s own. In each case the calculator returns nothing and explains why, rather than extrapolating past the end of a published relation.
Do I still need an installer if I use this?
Many owners do their own 12V work, and these are the figures that work is sized from. What matters is that a car battery delivers hundreds of amps into a short without hesitating, so the main fuse goes within 18 inches of the battery positive terminal and the battery comes off before power wire goes in. If any of that is beyond what you want to take on, a professional installer is money well spent.

Researched guidance, not professional advice. These results are planning figures from published relations and manufacturer specifications. Fit the main fuse within 18 inches of the battery positive terminal, because that fuse protects the wire and the wire is what starts a fire. Disconnect the battery before running power wire, use a grommet through every piece of sheet metal, and remember that sustained high sound pressure causes permanent hearing damage.