It has been demonstrated that when charged particles move in circular paths, they emit electromagnetic waves known as cyclotron radiation. Consequently, particles engaged in cyclotron motion with a velocity v experience a gradual depletion of their kinetic energy at a specific rate given by dk/dt = -(µ₀•q⁴•B²•v²)/(8π•m²c). Considering a magnetic field strength of 3.0 T, determine the time it takes for (i) an electron and (ii) a proton to emit one-third of their energy while undergoing spiral motion due to the radiation.