Exponential Decay Rate Calculator

Easily calculate the decay rate for various applications. Enter the initial value, final value, and time period to find the rate of decay.

Initial Value

Final Value

Time Period

Decay Rate:

What is Decay Rate?

Decay rate is the percentage decrease of a quantity over a period of time. It's commonly used in various fields like physics, finance, and biology to model phenomena that decrease exponentially. For example, radioactive decay, depreciation of assets, and drug metabolism can be described using decay rates.

The formula for decay rate (d) is derived from the exponential decay formula:

$$ Final Value = Initial Value \times (1 - Decay Rate)^{Time} $$

Rearranging to solve for Decay Rate (d):

$$ Decay Rate = 1 - (\frac{Final Value}{Initial Value})^{\frac{1}{Time}} $$

This calculator helps you quickly find the decay rate when you know the initial and final values and the time period over which the decay occurred. Use it to analyze and understand exponential decay in different scenarios.