Magnitude and direction of magnetic field

What are the magnitude and direction of the magnetic field?

Free particle

Free particle. See attached file for full problem description.

Magnetic Field

A long straight wire having a mass of 0.025 kg/m is suspended by threads. When the wire carries a 20-A current, it experiences a horizontal magnetic force that deflects it to an equilibrium angle of 10 degrees. What are the magnitude and direction of the magnetic field? (Assume that field vectors are perpendicular to the wire)

Electric field strength

It is possible to use crossed electric and magnetic fields to construct a velocity selector, a device that only passes charged particles having a certain velocity. Once way of constructing such a velocity selector is shown in the picture above; ions are sent through a region of space where there is a uniform magnetic field (directed upward out of the page). Only ions having a specific speed will be able to travel in a straight line through this apparatus. If the magnetic field strength is B=30 MN/C, what electric field strength would we want to select ions having a speed exactly 0.01c.

OTA 103642 please! series caps

I have a question that I need a little help with. A 5.0 uf capacitor is connected to a 3.5 uf capacitor, and both of them are connected to a 6 volt battery. 1) what is the charge on each capacitor? What is the voltage on each capacitor? 2) With the battery still connected, the 3.5 uf cap is accidentally shorted out. As a result, what are the charge and voltage of the 5.0 uf cap? 3) The shorted out cap is replaced by a new 3.5 uf cap; the system is charged up again and then the battery is disconnected. Again, the 3.5 uf cap is accidentally shorted out. What now is the charge and voltage of the 5.0 uf capacitor? I think I may have 1) and 2) figured out, but I am not too sure abo... click for more