Magnetic Relation Cross Scans

Wire Force Direction Three-Row Scan

field size and current direction

Three wire rows show field size changing force magnitude and current direction changing only the finite force direction.

Magnetic wire force changes with field and finite direction. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

One tesla gives eight newtons

Field 1 T, current 2 A, and length 4 m give force 8 N with direction up.

F=1×2×4=8F=1\times2\times4=8
Magnetic wire forceA perpendicular current and field set a sideways force.B=1 TI=2 AF=8 NB=1 TI=2 AL=4 mF=8 N

Doubling field doubles the force

Field 2 T, current 2 A, and length 4 m give force 16 N with direction up.

F=2×2×4=16F=2\times2\times4=16
Magnetic wire forceA perpendicular current and field set a sideways force.B=2 TI=2 AF=16 NB=2 TI=2 AL=4 mF=16 N

Reversing current flips direction, not size

Field 2 T, current 2 A, and length 4 m give force 16 N with direction down.

F=2×2×4=16F=2\times2\times4=16
Magnetic wire forceA perpendicular current and field set a sideways force.B=2 TI=2 AF=16 NB=2 TI=2 AL=4 mF=16 N