Solved Examples on Lorentz Force
Example 1: Find out the magnitude of the force experienced when the unit charge is kept under the influence of 5 N/C electric fields.
Solution:
The for on the charge is given by,
F = qE
⇒ F = (1)(5)
⇒ F = 5 N/s.
Example 2: Find out the magnitude of the force experienced when a 5C charge is kept under the influence of 25 N/C electric fields.
Solution:
The for on the charge is given by,
F = qE
⇒ F = (5)(25)
⇒ F = 125 N/s.
Example 3: Find out the magnitude of the force experienced when a 5C charge is moving at 10m/s under the influence of a 25 N/C electric field. The magnetic field of 10 magnitudes is perpendicular to the direction of the electric field and velocity. Find out the magnitude of the force experienced by the charge.
Solution:
The for on the charge is given by,
F = qE + q(v × B)
⇒ F = (5)(25) + 5 (10 × 10 × sin(90))
⇒ F = 125 + 5(100)
⇒ F = 125 + 500
⇒ F = 625 N
Example 4: Find out the magnitude of the force experienced when a 10C charge is moving at 10m/s under the influence of 5 N/C electric fields. The magnetic field of 5 magnitudes is perpendicular to the direction of the electric field and velocity. Find out the magnitude of the force experienced by the charge.
Solution:
The for on the charge is given by,
F = qE + q(v × B)
⇒ F = (10)(5) + 10 (10 × 5 × sin(90))
⇒ F = 50 + 500
⇒ F = 550 N
Example 5: Find out the magnitude of the force experienced when a -2C charge is moving at 10m/s under the influence of 5 N/C electric fields. The magnetic field of 5 magnitudes is 30° to the direction of the electric field and velocity. Find out the magnitude of the force experienced by the charge.
Solution:
The for on the charge is given by,
F = qE + q(v × B)
⇒ F = (-2)(5) + (-2) (10 × 5 × sin(30))
⇒ F = -10 + -100 × 0.5
⇒ F = -60 N
Lorentz Force – Definition, Formula, Examples
Lorentz Force is the sum of Magnetic and Electrical Force experienced by a charge. When charges are moving under the influence of a magnetic field. They experience forces on them which cause them to sometimes change their direction, or if they are not able to do that. The forces of these individual charges become a force on the conductor carrying them. There are a lot of applications of this particular phenomenon in real life. All the motors that are employed in many devices around us work on this principle. To understand the working of these devices, it becomes essential to understand this concept. Let’s look at this concept in detail.