Question 1

A particle with mass = 3.6 10³⁰ and charge = 6.4 10¹⁹ moves through space with a speed = 20 /. The particle is attributed subject to an external magnetic flux density of = 5 , which results in a magnetic force. Ignoring other possible forces, calculate the radius of the induced circular trajectory. [Don't forget to draw a diagram of the situation. You will probably have to think about Newton's second law and the influence of centripetal acceleration (v2/R)]

Question 2

An infinitely long coaxial cable has a central conductor wire of radius a and a concentric outer shell (cylindrical) of thickness t = c - b, where b is the inner radius of the outer shell and c is its outer radius. Suppose the coaxial cable is aligned with the Z axis. The central wire carries a current of I = 0.2 A (which goes in the direction +), which is uniformly distributed over its cross-sectional area. The same amount of current moves in the opposite direction in the outer shell, also distributed evenly over the area of its cut transverse. Find the field everywhere (there are 4 regions to consider). To simplify the situation, use the permeability 0 and permittivity 0 when needed.