I'm reading how a charged particle moving through a magnetic field experiences a force (called magnetic force). I understand that it moves the particle in a certain direction and because the greatest force is experienced when the magnetic field is perpendicular to the particle's velocity vector, then it keeps moving the particle in a circular motion, acting as a centripetal force. My interest is specifically to apply my calculus and trigonometry to better understand their application in a related example. So I know that F = qvBsinØ and I know that I can use calculus to calculate how the path of the particle changes as the angle and force change (this last one seems a bit more complicated). Can someone with tons of patience help me visualize an example where I could calculate the changing force? Sorry, I havent been clear enough, first off I want to understand the trigonometry part, how the sinØ affects and is determined? So Im trying to understand why sine is used when calculating the force required to pull a boat with a rope from shore when the rope and how its affected by the angle.