1. What is the Tesla To Newton Equation?

The Tesla To Newton equation calculates the magnetic force on a moving charged particle in a magnetic field. This fundamental physics equation describes the Lorentz force law for the magnetic component.

2. How Does the Calculator Work?

The calculator uses the equation:

Where:

• \( F \) — Magnetic force (Newtons)
• \( B \) — Magnetic field strength (Tesla)
• \( q \) — Electric charge (Coulombs)
• \( v \) — Velocity of the charged particle (m/s)
• \( \theta \) — Angle between velocity and magnetic field vectors (degrees)

Explanation: The force is maximum when the velocity is perpendicular to the magnetic field (θ = 90°) and zero when parallel (θ = 0° or 180°).

3. Importance of Force Calculation

Details: Accurate force calculation is crucial for designing electromagnetic systems, particle accelerators, electric motors, and understanding charged particle motion in magnetic fields.

4. Using the Calculator

Tips: Enter magnetic field in Tesla, charge in Coulombs, velocity in m/s, and angle in degrees. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the direction of the magnetic force?
A: The force is perpendicular to both the velocity vector and magnetic field vector, following the right-hand rule.

Q2: Why does the angle affect the force?
A: The magnetic force depends on the component of velocity perpendicular to the magnetic field, which is v sin θ.

Q3: What are typical values for these parameters?
A: Earth's magnetic field is ~50 μT, electron charge is 1.6×10⁻¹⁹ C, and particle velocities vary from m/s to near light speed.

Q4: Does this equation work for all charged particles?
A: Yes, it applies to any moving charged particle including electrons, protons, and ions in a magnetic field.

Q5: What if the magnetic field is not uniform?
A: This equation assumes a uniform magnetic field. For non-uniform fields, integration over the path is required.