Find the Left Hand Rule Calculator

Introduction & Importance

The Left Hand Rule is a fundamental concept in physics, helping us understand the relationship between electric charge, current, and magnetic fields. The Find the Left Hand Rule Calculator is an essential tool for physics students and professionals alike, enabling quick and accurate calculations of magnetic forces and fields.

How to Use This Calculator

Enter the speed of the charged particle in meters per second (m/s).
Enter the charge of the particle in Coulombs (C).
Enter the strength of the magnetic field in Teslas (T).
Click the ‘Calculate’ button.

Formula & Methodology

The Left Hand Rule states that if you point your left hand’s thumb in the direction of the current, your fingers will curl in the direction of the magnetic field. The force (F) on a charged particle moving in a magnetic field (B) is given by:

F = q * v * B * sin(θ)

where:

q is the charge of the particle,
v is the velocity of the particle,
B is the strength of the magnetic field, and
θ is the angle between the velocity and the magnetic field.

Real-World Examples

Example 1: Electron in a Magnetic Field

An electron with a charge of -1.6 x 10^-19 C moves at a speed of 2000 m/s through a magnetic field of 1.5 T. What force acts on the electron?

F = (1.6 x 10^-19 C) * (2000 m/s) * (1.5 T) * sin(90°) = 4.8 x 10^-17 N

Data & Statistics

Force on a charged particle at different speeds
Speed (m/s)	Force (N)
1000	2.4 x 10^-17
2000	4.8 x 10^-17
3000	7.2 x 10^-17

Force on a charged particle at different field strengths
Field Strength (T)	Force (N)
1.0	2.4 x 10^-17
1.5	3.6 x 10^-17
2.0	4.8 x 10^-17

Expert Tips

Always ensure your inputs are in the correct units (m/s, C, T).
Be mindful of the angle (θ) between the velocity and the magnetic field. The sine of this angle determines the magnitude of the force.
For more complex scenarios, consider using vector notation and the cross product to calculate the force.