What is Magnetic Flux Density?
Definition: Magnetic flux density is the magnetic flux per unit area in a magnetic field.
We use B to denote magnetic flux density.
The formula for magnetic flux density is
Magnetic field (B) = Magnetic flux (Φ) / Area (A)
This implies that
B = Φ / A
After cross-multiplying the above equation, we have
Φ = BA
The other units we use to measure magnetic flux density are wb/m2, Tesla(T), and gauss.
Magnetic force (F): Whenever a charge is moving in a magnetic field, it experiences a force which is also called magnetic force.
The formula for magnetic force is
F = IBSinθ
and I = QV
Which shows that
F = QVBSinθ
For force carrying conductors in a magnetic field, we have
F = IBLSinθ or F = QVBLSinθ
How to Calculate Magnetic Flux Density
The magnetic flux density of a 10m long stiff wire carrying a current of 4A is 0.8T. Calculate the force if it is lying in a direction at 600 to the magnetic field.
Data: We retrieve our data from the above question
Length (L) = 10m
Current (I) = 4A
Magnetic flux (Φ)= 0.8T
Force (F) = ?
Angle (θ) = 600
and the formula to use is F = IBLSinθ
Thus, by substituting our data into the above formula we have
F = 4 x 0.8 x 10 x Sin600
F = 32 x 0.866
Therefore, the final answer is 27.712
F = 27.712N
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