Systematic error in AP Physics 2

Systematic error is an error that shifts every measurement in the same direction by a consistent amount, so it can't be reduced by averaging more trials. In AP Physics 2, a classic example is a battery's internal resistance making every measured voltage lower than the true emf.

Verified for the 2027 AP Physics 2 examLast updated June 2026

What is Systematic error?

Systematic error is a flaw in your measurement setup or method that pushes all of your data the same way, either consistently too high or consistently too low. It's baked into the experiment itself. A miscalibrated scale that reads 0.2 g heavy, a voltmeter that draws current from the circuit it's measuring, or a battery whose internal resistance makes the terminal voltage read below the true emf are all systematic errors. Take 100 trials and average them, and the bias is still there, because every single trial carries the same offset.

That's what separates systematic error from random error. Random error scatters your data points around the true value, and averaging helps. Systematic error shifts the whole data set away from the true value, and the only fix is to identify the source and correct for it (recalibrate the instrument, account for internal resistance in your circuit equation, subtract the offset). In AP Physics 2, you're expected to spot systematic errors in experimental setups, predict which direction they bias the result, and propose ways to reduce or correct them.

Why Systematic error matters in AP® Physics 2

Systematic error isn't tied to one content unit. It lives in the science practices that run through all of AP Physics 2, especially experimental design and data analysis. Any time the exam asks you to evaluate a procedure or explain why a measured value differs from a predicted one, systematic error is the tool you reach for. The most common AP Physics 2 setting is circuits, where internal resistance and non-ideal meters create real, predictable biases. A real battery has internal resistance, so the voltage you measure at its terminals is less than the emf whenever current flows. An ammeter adds resistance to the branch it's in; a voltmeter siphons off a little current. Knowing which way each of these skews your data, and being able to say so in a sentence, is exactly what the lab-based free-response question rewards.

How Systematic error connects across the course

Internal resistance and emf (Circuits unit)

Internal resistance is the textbook systematic error in AP Physics 2. Terminal voltage equals emf minus I times r, so every voltage reading taken while current flows is low by the same predictable mechanism. If an FRQ asks why measured voltage falls short of the rated emf, this is the answer.

Non-ideal ammeters and voltmeters (Circuits unit)

A real ammeter has some resistance and a real voltmeter isn't infinite resistance, so each one slightly changes the circuit it measures. That perturbation is systematic. It biases readings the same direction every time, and you can reason out which direction using Ohm's law.

Experimental design and data analysis (Science Practices, all units)

The lab-based FRQ often asks you to identify sources of error and say whether they make the result too high or too low. 'Human error' earns nothing. Naming a specific systematic source and its direction is what scores.

Linearization and graphing (Science Practices, all units)

Systematic error often shows up on a graph as a nonzero y-intercept where theory predicts the line should pass through the origin. A consistent offset shifts the intercept; random error just scatters points around the best-fit line. Reading that intercept is a fast way to detect and even quantify the bias.

Is Systematic error on the AP® Physics 2 exam?

Systematic error shows up in two main places. In multiple choice, you'll see stems like 'a student's measurements are all 5% higher than the accepted value; which explanation is consistent with this?' The tell is that the bias is one-directional, which points to a systematic cause, not random scatter. In the lab-based free-response question, you may be asked to design a procedure, identify a source of error, and state whether it makes the measured value too high or too low and why. To earn credit you have to (1) name a specific physical source (internal resistance, meter loading, a calibration offset), (2) give the direction of the bias, and (3) connect it to the physics with an equation or causal sentence. Vague answers like 'measurement error' or 'human error' don't score. No released FRQ needs the phrase 'systematic error' verbatim for you to use the concept; it's the reasoning behind almost every 'explain the discrepancy' prompt.

Systematic error vs Random error

Random error scatters measurements unpredictably around the true value, so averaging many trials reduces it. Systematic error shifts every measurement the same direction by the same mechanism, so averaging does nothing. Quick test: if more trials would help, it's random; if every trial is wrong the same way, it's systematic. On a graph, random error looks like scatter around the best-fit line, while systematic error looks like the whole line shifted, often as an unexpected y-intercept.

Key things to remember about Systematic error

  • Systematic error biases every measurement in the same direction, so taking more trials and averaging does not reduce it.

  • A battery's internal resistance is the classic AP Physics 2 example, because it makes the measured terminal voltage consistently lower than the true emf whenever current flows.

  • Real ammeters and voltmeters introduce systematic error by changing the circuit they measure, and you should be able to predict which direction each one skews the reading.

  • On a graph, systematic error often appears as a nonzero y-intercept where theory predicts the line should pass through the origin.

  • On the lab FRQ, name a specific physical source of error and state whether it makes the result too high or too low; 'human error' never earns credit.

  • The fix for systematic error is identifying and correcting the source, like recalibrating an instrument or including internal resistance in your circuit equation.

Frequently asked questions about Systematic error

What is systematic error in AP Physics 2?

It's an error built into your setup or method that shifts every measurement the same direction, like a battery's internal resistance making all voltage readings lower than the true emf. Unlike random error, it can't be averaged away.

What's the difference between systematic and random error?

Random error scatters data unpredictably around the true value and shrinks when you average more trials. Systematic error offsets all data the same way, so 100 trials are just as biased as one. If more trials would help, it's random; if every trial is wrong the same way, it's systematic.

Does taking more trials fix systematic error?

No. Averaging reduces random error, but a systematic bias is in every trial, so the average inherits the same offset. The only fix is finding the source and correcting for it, like recalibrating the instrument or adding internal resistance to your circuit model.

Why does internal resistance count as a systematic error?

Terminal voltage equals emf minus the current times the internal resistance, so whenever current flows, the measured voltage is below the true emf. The bias is always the same direction and comes from the same physical cause, which is exactly what makes an error systematic.

Can I write 'human error' as a source of error on the AP Physics 2 FRQ?

No, it earns nothing. Graders want a specific physical source, the direction it biases the result, and the reasoning. For example: 'the voltmeter draws current, so the measured voltage across the resistor is lower than the actual voltage.'