University⏱ 5 min
Line Integrals as Work
Work done by force along a path
○Not Started
Line Integrals as Work
Path
Field strength1.00
Position0.00
Work
Current0.000
Total3.497
W = ∫_C F·dr = ∫_a^b F(r(t))·r'(t) dt
💡 Intuition
A line integral measures the work done by a force on a particle moving along a path. The yellow arrow shows force at the current point. When force aligns with motion, work increases. When opposing, it decreases.