The mass of alpha particles is 6.64 × 10^-27 Kg and their charge is 3.20 × 10^-19 C. An alpha particle emitted by a radioactive substance moves into a region of uniform magnetic field given by B = (2.0 0T)î + (3.20 T)ĵ. At a given moment, the alpha particle has a velocity v = (12.00 × 10⁴ m/s)î. Find the i) magnitude (a) and ii) direction of its acceleration vector at this particular moment.

A source generates a uniform magnetic field of strength 1.15 T that is directed at an angle of 37.0° from the z-direction. A water pitcher made of glass with a circular plastic top lid of 7.00 cm radius lies, within the magnetic field, on the top of a horizontal table. Determine the total magnetic flux passing through the pitcher glass.

A square coil with side l = 4.0 cm is placed in a magnetic field. The plane of the coil makes an angle of 35.0° with the field lines. The magnetic flux Φ_B passing through the coil is 2.05 × 10^-4 Wb. Determine the magnetic field's strength that generates this flux.