A charged particle in a cyclotron moves in a circle with radius 5mm. If the field in the cyclotron is 0.06 T and the velocity of the particle is 2.4x10^7, what is the charge-mass ratio of the particle?
Firstly, we should equate the centripetal force to the force on a moving charge using equations from our formula booklet: (force on a moving charge): F = Bqv(centripetal force): F = mv2/rmv2/r = Bqvwhen we cancel the 'v's' we get:mv/r = Bqmultiply both sides by r to get: Bqr = mvdivide through by m and divide through by 'Br' to get: q/m = v/BrThis now gives us an equation for the charge mass ratio (q/m) as: v/BrNow, substitute in your given values for v (velocity), B (magnetic field strength) and r (radius), ensuring you use the correct index form. 2.4x10^7 / (0.06 x 5x10^-3) = 8x10^10 = q/m
PV
Related Physics GCSE answers
All answers โธThe critical angle for a glass is 41 degrees. Calculate its refractive index.
which part of the electromagnetic spectrum provides most of the energy to heat the water in a solar thermal power station?, how does this heated water allow electricity to be generated?
A 15kg cannonball and a 1kg football are dropped to the ground from a height of 10 metres. Calculate the speed of the cannonball and of the football just before they hit the ground (you may ignore air resistance).
An electric heater has a power of 1000W. It is connected to mains electricity (230V). The heater is equipped with an Earth wire. a) Calculate the current in the heater. b) Explain the role of the earth wire as a safety feature.