Question

1. An infinite line of uniform positive charge runs along the x axis and has a line charge density of λ=20.8 m nC . Consider the point (0 m, 2.00 m) which is located 2.00 meters above the infinite line. What is the magnitude of the electric field at this point?

2.

An infinite horizontal plane of uniform negative charge sits at a height ofz=0. For a point at a height of z=−3m (i.e., 3 meters below the infinite plane), the electric field has a magnitude of 37.3 N/C . Calculate the surface charge density, \sigmaσ, of the infinite plane of charge in units C/m^2

3.

A total charge of Q=7.18 μC is evenly distributed throughout a plastic spherical shell with an inner radius of r 1 =0.107 m and an outer radius of r 2 =0.626 m. The shell is centered at the origin (x c =0,y c =0,z c =0). Calculate the magnitude of the electric field at the location (x=0 m,y=0 m,z=2.45 m).

4. A proton of mass m_p 1.67×10 −27 kg and a charge of q_p = 1.60×10 −19 C is moving through vacuum at a constant velocity of 10,000 m/s directly to the east when it enters a region of uniform electric field that points to the south with a magnitude of ∣ E ⃗ ∣=2.07e+3 N/C . The region of uniform electric field is 5 mm wide in the east-west direction. How far (in meters) will the proton have been deflected towards the south by the time it exits the region of uniform electric field. You may neglect the effects of friction and gravity, and assume that the electric field is zero outside the specified region.

Answer 1