1. What Is Theoretical Error?

Theoretical error quantifies the deviation between experimental results and theoretical predictions, expressed as a percentage of the theoretical value. It helps assess the accuracy of measurements and experiments.

2. How Does The Calculator Work?

The calculator uses the theoretical error formula:

Where:

• \( Theo \) — Theoretical value
• \( Exp \) — Experimental value

Explanation: The formula calculates the percentage difference between theoretical and experimental values, providing a standardized measure of accuracy.

3. Importance Of Error Calculation

Details: Calculating theoretical error is essential for validating experimental methods, identifying systematic errors, and improving measurement accuracy in scientific research and engineering applications.

4. Using The Calculator

Tips: Enter both theoretical and experimental values in the same units. All values must be valid (theoretical value > 0).

5. Frequently Asked Questions (FAQ)

Q1: What does a negative error value indicate?
A: A negative error indicates that the experimental value exceeds the theoretical value, suggesting potential overestimation or measurement bias.

Q2: What is considered an acceptable error percentage?
A: Acceptable error varies by field and application. Typically, errors below 5% are considered good, but specific tolerances depend on the context.

Q3: How should I handle zero theoretical values?
A: The formula requires theoretical value > 0. For zero theoretical values, alternative error metrics should be used.

Q4: Can this calculator be used for all types of measurements?
A: This calculator is suitable for ratio-scale measurements where theoretical values are known and positive.

Q5: How does this differ from relative error?
A: This is a specific form of relative error calculation that expresses the deviation as a percentage of the theoretical value.