Exponential Decay Time Calculator

Easily calculate the time it takes for a quantity to decay to a specific target value using exponential decay principles.

Understanding Exponential Decay

Exponential decay describes the decrease in quantity over time. It's modeled by the formula:

$$ N(t) = N_0 (1 - r)^t $$

N(t) is the quantity at time t
N₀ is the initial quantity
r is the decay rate (as a decimal, e.g., 0.05 for 5%)
t is the time

Initial Value (N₀)

Units

Decay Rate (r)

Target Value (N(t))

Units

Result:

Time to Reach Target Value:

units of time

Decay Visualization

Understanding Exponential Decay: A Quick Guide

Exponential decay is a process where a quantity decreases over time at a rate proportional to its current value. Think of it like this: if you have a cup of hot coffee, it cools down faster when it's very hot, and slower as it approaches room temperature. This calculator helps you find out how long it takes for something to decay from an initial amount to a target amount, given a decay rate. It's useful in various fields, from understanding radioactive decay in science to calculating depreciation in finance. Just input your starting amount, the percentage it decreases each time period, and your desired end amount to see how long it will take!