1. What is Magnetic Induction?

Definition: Magnetic induction (B) is the magnetic flux density produced by a given magnetic field intensity (H) in a material with specific permeability (μ).

Purpose: This calculator helps engineers and physicists determine the strength of the magnetic field produced in different materials.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( B \) — Magnetic induction (tesla)
• \( \mu \) — Permeability of the material (henry/meter)
• \( H \) — Magnetic field intensity (ampere/meter)

Explanation: The permeability represents how easily a material can support magnetic field formation, while the field intensity measures the strength of the applied magnetic field.

3. Importance of Magnetic Induction Calculation

Details: Calculating magnetic induction is crucial for designing electromagnets, transformers, electric motors, and other electromagnetic devices.

4. Using the Calculator

Tips: Enter the permeability (default 1.256×10⁻⁶ H/m for free space) and magnetic field intensity. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical permeability value for free space?
A: The permeability of free space (μ₀) is exactly 4π×10⁻⁷ H/m (≈1.25663706×10⁻⁶ H/m).

Q2: How does permeability change with different materials?
A: Materials like iron have much higher permeability (up to 6.3×10⁻³ H/m) compared to free space.

Q3: What are common magnetic field intensity values?
A: Typical electromagnets might produce 10³-10⁶ A/m, while Earth's magnetic field is about 40 A/m.

Q4: What's the difference between B and H?
A: H is the applied magnetic field, while B is the actual magnetic flux density in the material.

Q5: How is this used in practical applications?
A: This calculation is fundamental in designing transformers, inductors, magnetic storage devices, and MRI machines.