Q1. A beam of protons (q = 1.6 x 10^-19 C) moves at 3.0 x 10^5 m/s through a uniform 2.0T magnetic field directed along the positive z-axis, as shown in the figure. The velocity of each proton lies in the xz-plane and is directed at 30° to the +z-axis. Find the force on a proton.
Q2. The figure is a perspective view of a flat surface with area 3.0 cm^2 in a uniform magnetic field B⃗. The magnetic flux through this surface is +0.90 mWb. Find the magnitude of the magnetic field and the direction of area vector A⃗.
Q3. A particle with a charge of -1.24 x 10^-8 C is moving with instantaneous velocity v⃗ = (4.19 x 10^4 ms^-1)î + (-3.85 x 10^4 ms^-1)ĵ. What is the force exerted on this particle by a magnetic field (a) B⃗ = (1.40 T)î and (b) B⃗ = (1.40 T)k̂.