1. What is Magnetic Permeability of Water?

The magnetic permeability of water (μ) describes how water responds to magnetic fields. It's slightly less than the permeability of free space (μ₀) due to water's diamagnetic properties.

2. How Does the Calculator Work?

The calculator uses the magnetic permeability equation for water:

Where:

• \( \mu \) — Magnetic permeability of water (H/m)
• \( \mu_0 \) — Vacuum permeability (1.25663706212×10⁻⁶ H/m)
• \( 9.05 \times 10^{-6} \) — Diamagnetic susceptibility of water

Explanation: The equation shows that water's permeability is very slightly less than that of vacuum due to its diamagnetic nature.

3. Importance of Water Permeability Calculation

Details: Understanding water's magnetic properties is important in MRI technology, studies of biological systems, and various industrial applications involving magnetic fields and water.

4. Using the Calculator

Tips: Enter the vacuum permeability value (default is 1.25663706212×10⁻⁶ H/m). The calculator will compute water's magnetic permeability.

5. Frequently Asked Questions (FAQ)

Q1: Why is water's permeability less than vacuum?
A: Water is diamagnetic, meaning it weakly repels magnetic fields, resulting in slightly lower permeability than vacuum.

Q2: How accurate is this calculation?
A: The calculation is very accurate for pure water at standard conditions. Impurities or temperature changes may affect results.

Q3: What are typical values for μ and μ₀?
A: μ₀ is exactly 4π×10⁻⁷ H/m (≈1.25663706212×10⁻⁶ H/m). For water, μ is about 0.99999095 × μ₀.

Q4: Does this apply to saltwater?
A: No, saltwater has different magnetic properties due to dissolved ions. This calculator is for pure water only.

Q5: What practical applications use this calculation?
A: MRI technology, studies of water in biological systems, and precision measurements in physics experiments.