11 Example 2.8

Temperature Difference & Error Propagation

This simulation demonstrates temperature difference calculation with error analysis (Example 2.8) and error propagation in products and quotients.

Temperature Difference Example

t₁ = 20°C ± 0.5°C

Temperature 1 (°C):

Error (±°C):

t₂ = 50°C ± 0.5°C

Temperature 2 (°C):

Error (±°C):

t₂ - t₁ = (50°C ± 0.5°C) - (20°C ± 0.5°C) = 30°C ± 1°C

When subtracting two quantities with errors, the absolute errors add up.

Product

Quotient

Value A:

Error in A (±):

Value B:

Error in B (±):

For Z = A × B:
ΔZ/Z = (ΔA/A) + (ΔB/B)

Numerator:

Error in Numerator (±):

Denominator:

Error in Denominator (±):

For Z = A / B:
ΔZ/Z = (ΔA/A) + (ΔB/B)