Uncertainty Calculator (Heisenberg's Principle)

The Uncertainty Calculator (Heisenberg's Principle) will calculate the:

One of uncertainties among that of particle's position and momentum when the other uncertainty is known
One of uncertainties among that of particle's energy and time interval in which it possesses that energy when the other uncertainty is known

Calculation Parameters: Medium of propagation is assumed as vacuum

Uncertainty Calculator (Heisenberg's Principle)
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Calculator Precision (Decimal Places)
Reduced Planck Constant (ℏ) J · s	× 10 power of
Uncertainty of particle's position (Δx) m
Uncertainty of particle's momentum (Δp) kg·m/s
Uncertainty of particle's energy (ΔE) J
Uncertainty of time interval (Δτ) s
∞ Real Number Results∑ Scientific Number Results

Uncertainty Calculator (Heisenberg's Principle) Results (detailed calculations and formula below)
Uncertainty of particle's position or momentum when the other uncertainty is known calculation
The uncertainty of particle's position or momentum when the other uncertainty is known is
The uncertainty of particle's energy or time interval in which it possesses this energy when the other uncertainty is known is
∆x ∙ ∆p ≈ ℏ ∙ ≈
Uncertainty of particle's energy or time interval in which it possesses this energy when the other uncertainty is known calculation
∆E ∙ ∆τ ≈ ℏ ∙ ≈
Uncertainty Calculator Input Values
Reduced Planck Constant (ℏ) J · s [Joule times second]
Uncertainty of particle's position (Δx) m [metre]
Uncertainty of particle's momentum (Δp) kg·m/s [kilogram times metre per second]
Uncertainty of particle's energy (ΔE) J [Joule]
Uncertainty of time interval (Δτ) s [second]

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Discover Physics with free Physics Revision Notes and Physics Calculator: Uncertainty. This image shows the properties and uncertainty formula for the Uncertainty. The Uncertainty Calculator (Heisenberg's Principle) will calculate one of uncertainties among that of particle's position and momentum when the other uncertainty is known and the particle's energy and time interval in which it possesses that energy when the other uncertainty is known

The uncertainty of particle's position or momentum when the other uncertainty is known Formula and Calculation

∆x ∙ ∆p ≈ ℏ

The uncertainty of particle's energy or time interval in which it possesses this energy when the other uncertainty is known Formula and Calculation

∆E ∙ ∆τ ≈ ℏ

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Uncertainty Calculator (Heisenberg's Principle)

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The uncertainty of particle's position or momentum when the other uncertainty is known Formula and Calculation

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