Assignment:
Refer to the coordinate system shown when answering the questions below in regard to the direction of any vector quantities. Gravitational force may be ignored.
A) Negative ions with charge-3e and velocity v enter the grey region of magnetic field B. If the ions are detected at point C or D, in what direction is the magnetic field? Explain!
B) The ions are isotopes with masses m1 and m2 (m1 > m2) and are detected in either position C or D shown. Draw the path of each type of isotope from entrance in the figure above and label them 1 and 2 respectively. Explain using Newton's laws of motion on how you made that determination. Use the symbolic notations given.
C) Negative ions with charge -3e and velocity v enter between the plates of a capacitor with surface charge density σ as shown in the figure. What magnetic field B→ in magnitude and direction needs to be applied in the region between the plates so the ions above move through that region undeflected? Explain your reasoning using a free body diagram and using Newton's laws of motion. Express your answers symbolically in terms of e, v, and a.
