# Static Magnetic Field and Work

by I done know
Tags: field, magnetic, static, work
 Sci Advisor HW Helper P: 1,332 The force on a charged particle in a magnetic field is $$\vec{F} = q \vec{v} \times \vec{B}$$, right? Stare at that formula for a bit. Now ask yourself, how is the force related to the velocity? Then ask, how is work related to force?
 Sci Advisor HW Helper P: 1,332 Static Magnetic Field and Work Wait, how did you conclude that $$\frac{d\vec{v}}{dt} = 0$$? The acceleration certainly isn't zero, there is a force acting.
 Sci Advisor HW Helper P: 1,332 Indeed. In simple terms, the power $$\vec{F} \cdot \vec{v}$$ is identically zero. Hence no work is done.