How to Calculate and Solve for Magnetic Flux Density or Field Induction | The Calculator Encyclopedia

The image above represents the magnetic flux density/field induction.

To compute the magnetic force of a field, four essential parameters are needed and the parameters are Magnetic Force (F), Quantity of Charge (q), Average Velocity of the Charge (v) and Angle between v and B (θ).

The formula for calculating the magnetic flux density/field induction:

B = F / qVsinθ

Where;
B = Magnetic Induction or Magnetic Flux Density
F = Magnetic Force
q = Quantity of Charge
v = Average Velocity of the charge
θ = Angle between v and B

Let’s solve an example;
Find the magnetic flux density/field induction of a field when Magnetic Force (F) is 17, Quantity of Charge (q) is 21, Average Velocity of the Charge (v) is 15 and Angle between v and B (θ) is 120°.

This implies that;
F = Magnetic Force = 17
q = Quantity of Charge = 21
v = Average Velocity of the charge = 15
θ = Angle between v and B = 120°

B = F / qVsinθ
B = 17 / (21 x 15)(sin 120°)
B = 17 / (315)(0.866)
B = 17 / (272.79)
B = 0.0623

Therefore, the magnetic flux density/field induction is 0.0623 Tesla.

How to Calculate and Solve for Magnetic Force | Nickzom Calculator

The image above represents magnetic force.

To compute the magnetic force of a field, four essential parameters are needed and the parameters are Quantity of Charge (q), Average Velocity of the Charge (v), Magnetic Field Induction or Magnetic Flux Density (B) and Angle between v and B (θ).

The formula for calculating the magnetic force:

F = qVBsinθ

Where;
F = Magnetic Force
q = Quantity of Charge
v = Average Velocity of the Charge
B = Magnetic Field Induction or Magnetic Flux Density
θ = Angle between v and B

Let’s solve an example;
Find the magnetic force of a field when the Quantity of Charge (q) is 11, Average Velocity of the Charge (v) is 20, Magnetic Field Induction or Magnetic Flux Density (B) is 17 and Angle between v and B (θ) is 28°.

This implies that;
q = Quantity of Charge = 11
v = Average Velocity of the Charge = 20
B = Magnetic Field Induction or Magnetic Flux Density = 17
θ = Angle between v and B = 28°

F = qVBsinθ
F = 11 x 20 x 17 x sin28°
F = 11 x 20 x 17 x 0.469
F = 1755.82

Therefore, the magnetic force is 1755.82 Newton (N).