Force Exerted on Particle Calculator

Force Exerted on Particle Formula:

\[ F_e = (q \times v_{cp}) \times B \]

Charge of a Particle (q):

Velocity of a Charged Particle (v_cp):

m/s

Magnetic Flux Density (B):

Force Exerted on Particle (F_e):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Force Exerted on Particle Formula?

The Force Exerted on Particle formula calculates the magnetic force experienced by a charged particle moving through a magnetic field. This force is perpendicular to both the velocity vector of the particle and the magnetic field vector.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_e = (q \times v_{cp}) \times B \]

Where:

\( F_e \) — Force exerted on particle (N)
\( q \) — Charge of a particle (C)
\( v_{cp} \) — Velocity of a charged particle (m/s)
\( B \) — Magnetic flux density (T)

Explanation: The force is proportional to the charge of the particle, its velocity, and the magnetic flux density. The direction of the force is given by the right-hand rule.

3. Importance of Force Calculation

Details: Calculating the magnetic force on charged particles is essential in understanding particle motion in magnetic fields, designing particle accelerators, and analyzing electromagnetic phenomena in various scientific and engineering applications.

4. Using the Calculator

Tips: Enter the charge in coulombs, velocity in meters per second, and magnetic flux density in tesla. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

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

Q2: Does the magnetic force do work on the particle?
A: No, the magnetic force does not do work on the particle because it's always perpendicular to the velocity vector, changing only the direction of motion, not the speed.

Q3: What happens when the velocity is parallel to the magnetic field?
A: When the velocity is parallel to the magnetic field, the magnetic force is zero, and the particle continues moving in a straight line.

Q4: How does charge affect the force?
A: The force is directly proportional to the charge magnitude. Negative charges experience force in the opposite direction to positive charges with the same velocity.

Q5: What are typical values for these parameters?
A: Electron charge is approximately 1.6×10⁻¹⁹ C, velocities can range from slow thermal motion to near light speed, and magnetic fields range from microteslas (Earth's field) to several teslas in laboratory magnets.