StopLearnStopLearnThe magnetic field exerts a force on a charge moving in the field because charges in motion constitute an electric current. E.g, the motion of electrons along conducting wires.
The strength of magnetic field, a vector quantity, is represented by Β, called the flux density or magnetic induction. If θ is the angle between the magnetic field direction and the direction of motion of the charges, then, the force, F on the charge is given by:
F=qvBsinθ
This force will be maximum when sin θ = 1 (i. e θ = 900. The charge moves in a direction perpendicular to the magnetic field)
This force will be zero when θ = 0. (i.e the charge moves in the same direction as the magnetic field)
Where:
F is force in Newton,N
q is the charge in coulombs,C
v is the average velocity of the charge in m/s
B is the flux density or magnetic induction in tesla, T (1Tesla = 1Weber per m2).
Example:
Find the magnetic force experienced by an electron projected into a magnetic field of flux density 8Tesla with a velocity of 4.0 × 106m/s and in the direction of 60°.
Solution:
| F=qvBsinθF=1.6×10−19×4.0×106×8×sin60oF=4.43×10−12N |
Note:
θ=0o,∴sinθ=sin0o=0,Hence,F=0
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