I probably should've given Coulomb's constant in the problem... But I think east and south are always orthogonal, no? Anyway, your turn!

Yes you are definitely correct that east and south are orthogonal, but in the case of the Right Hand "Slap" Rule...(my Physics teacher was great

)

...the angle is between the magnetic field vector and the velocity vector. Since you gave the force vector and the velocity vector, the magnetic field vector can be pointed where

. The vector could have been pointing almost west or almost east while also being slightly out of the page, but the magnitude of the magnetic field vector in both cases would be extremely large compared to when it is perpendicular to the velocity vector. Plus, it makes the math a LOT simpler if we assume the magnetic field vector just comes straight out of the page. Mathematically, the force vector is merely just the

cross product of the magnetic field and the velocity vector. Either way, I digress...onto the next question!

Oh no! Dr. Doom has just finished building his capacitor! When designing the build he decided to make the plates have an area of 10 m^2 separated by 1 mm. As the dielectric, he used strontium titanate (k = 310). Dr. Doom plans on using his battery with an EMF = 20kV connected to a set of 20 parallel 100 Mohm resistors in series to charge the capacitor.

1) How long will it take to "fully" charge the capacitor?

2) How much charge will the capacitor hold when it reaches maximum voltage?

3) How much energy is stored in the charged capacitor? How much energy is lost during the process of charging the capcitor?