How will the Ampere force acting on a straight conductor with current in a uniform magnetic field

How will the Ampere force acting on a straight conductor with current in a uniform magnetic field change with a 4-fold decrease in magnetic induction and a 4-fold increase in current?

Ampere force:
F = I * B * L * sin a, where F is the force acting on the conductor, I is the current in the conductor, B is the value of the magnetic field induction, L is the length of the conductor (m), sin α = sin 90º = 1 ( the conductor is perpendicular to the magnetic field lines).
Ampere strength before changes in magnetic induction and current strength:
F1 = I1 * B1 * L.
Ampere strength after changes in magnetic induction and current strength:
F2 = I2 * B2 * L, where I2 = 4I1, B2 = 0.25V1.
F2 / F1 = I2 * B2 * L / (I1 * B1 * L) = 4I1 * 0.25B1 / (I1 * B1) = 4 * 0.25 = 1.
Answer: Ampere’s strength will not change.



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