The Lorentz force increases on increasing charge, strength of electric field and magnetic field. Hence, option (B) is correct.
When a charged particles moves in an electric field and magnetic field, then the force exerted on a charged particle moving with velocity v through an electric field E and magnetic field B is given as,
[tex]F=q(E+v\times B)[/tex]
here, q is the charge on particle and force F is known as Lorentz Force.
Clearly, from the above expression, the Lorentz force varies linearly with the charge, strength of electric and magnetic field.
(A)
The statement, "Magnetic force increases as charge decreases and magnetic field increases" is not correct, because it does follow the above linear relation.
(B)
The statement. "Magnetic force increases as charge or magnetic field increases" is correct as this follows the linear relationship between the F, q, E and B.
(C)
Magnetic force decreases with decreasing magnetic field. Hence, the statement is incorrect.
(D)
Magnetic force decreases with decreasing and magnetic field. Hence, the statement is incorrect.
Thus, we conclude that increasing charge, strength of electric field and magnetic field also increase Lorentz force. Hence, option (B) is correct.
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