2Outcomesapply the concept of force on a charged particle moving through a magnetic field—this will include applying the relationships:describe the factors which affect the magnitude and direction of the force on a charged particle moving through a magnetic field
3Electric charge and magnetism F (into page)Moving charges create a magnetic field.In the presence of an external magnetic field, the two fields interact.The result? A force is applied to the moving charges.
4What determines the force? A larger current produces a larger magnetic field, which produces a larger forceA larger current can be produced by :1) having more charges moving at the same speed2) having the same number of charges but moving faster
5What determines the force? A larger current can be produced by :1) having more charges moving at the same speed2) having the same number of charges but moving fastercurrentTherefore the force (which depends the current) depends on1) the velocity of the charge2) the quantity of the charge
6FormulaAn electric charge, moving perpendicular to an external magnetic field will experience a forceF is the force on the charge (N)q is the charge (C)v is the velocity of the charge (ms-1)B is the size of the external magnetic field (T)
7FormulaThis formula,Uses the same principles as the force acting on a current carrying conductor,But only determines the force on a single charge!
8Direction of the forceThe direction of the force is determined by using the right hand palm rule
9Example problemThe proton in the diagram is travelling at 1200 ms-1 through a magnetic field of 800 μT. Determine the force applied to the proton and draw the path the proton would take.
10Circular motionA charge moving in a magnetic field will experience a force perpendicular to its motion.This is the principle of circular motion.
11Circular motion The force felt by a charge only depends on q, v and B. If ahydrogen ion (H+)and a lithium ion (Li+)both travelled at the same speed into a magnetic field, how would their paths differ?
12Circular motion The force felt by a charge only depends on q, v and B. If asodium ion (Na+)and a magnesium ion (Mg2+)both travelled at the same speed into a magnetic field, how would their paths differ?
13Practical Uses – Mass Spectrometer Electromagnet strength is adjusted to detect other masses (blue and yellow). If no signal, no constituents of that mass.
14Example ProblemA proton has a velocity of 5670 ms-1. It is passing through a magnetic flux density of 38 T. What is the direction and magnitude of an electric field that could be used to allow the proton to travel in a straight line?