Exponential Decay Time Calculator
Easily calculate the time it takes for a quantity to decay to a final value from an initial value, using the exponential decay model. Visualize the decay process with an interactive chart.
Enter the initial value, final value, and decay rate to find the elapsed time.
The formula for exponential decay is given by:
Where:
\( N(t) \) = Quantity at time t,
\( N_0 \) = Initial quantity,
\( r \) = Decay rate (as a decimal),
\( t \) = Time.
Decay Visualization
Understanding Exponential Decay
Exponential decay describes the decrease in quantity over time. It's commonly observed in radioactive decay, population decline, and financial depreciation. The decay rate indicates the fraction of the quantity that diminishes per time unit. This tool calculates the time required for a quantity to reduce from a starting (initial) value to a specific (final) value, given a constant decay rate.
How to Use This Calculator:
- Enter the 'Initial Value' - the starting quantity.
- Enter the 'Final Value' - the quantity you want to decay to.
- Enter the 'Decay Rate' - the rate at which the quantity decreases (as a decimal between 0 and 1).
- Click 'Calculate Time' to find out the time it takes for the decay to occur.
- View the 'Decay Visualization' chart to see the decay curve.