Question

Magnetic Field near a Moving Charge

A particle with positive charge q is moving with speed v along the z-axis toward positive z. At the time of this problem, it is located at the origin, x=y=z=0. Your task is to find the magnetic field at various locations in the three-dimensional space around the moving charge. (Figure 1)

Part B

Find the magnetic field at the point  .

Express your answer in terms of u₀, q, v, and x1, and use i^, j^, and k^ for the three unit vectors.

Part C

Find the magnetic field at the point  .

Express your answer in terms of u₀, q, v, x1, and y1, and use i^, j^, and k^ for the three unit vectors.

Part D

Find the magnetic field at the point  .

Express your answer in terms of u₀, q, v, x1, y1, and z1, and use i^, j^, and k^ for the three unit vectors.