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Mathematics of electromagnetic induction law formula
1) Suppose the falling height is h 。

∫q =δδt = e average/Rδt =(δφ/δt)/Rδt =δφ/R = bδs/R = BLH/R

∴h=qR/BL.

Substitution number: q = 0.2c×1ω/(1t× 0.5) = 0.4m.

2) When gravity and ampere force are balanced, the speed is the maximum.

Suppose PQ just reaches the maximum speed Vmax at this time.

∫mg = BιL = BL E/R = BL blv max/R = B? l? Vmax/R

Vmax = manager /B? l? .

Substitution number: VMAX = 0.01kg× 9.8n/kg×1ω/(1t)? ×(0.5m)? = 0.392 m/s.