A particle of mass m1=43×10−9kg and charge q1=48μC is moving in a uniform magnetic field along +x axis with speed 67×105m/s. The figure shows the axis direction and direction of the magnetic field. a) If the strength of the magnetic field is B=4.5T then calculate the radius of the path the particle follows. b) How much time it would take for the particle to go one round along that path? c) If we replace the particle with a new one having mass m2=3.5⋅m1 then what will be the strength of the B field if we want to keep the same time period of the particle?
Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permittivity, ϵ0=8.854×10−12F/m. Magnetic Permeability of vacuum, μ0=12.566370614356×10−7H/m. The magnitude of the Charge of one electron, e=−1.60217662×10−19C. Mass of one electron, me=9.10938356×10−31kg. Unless specified otherwise, each symbol carries its usual meaning. For example, μC means microcoulomb.
A particle of mass m1=43×10−9kg and charge q1=48μC is moving in a uniform magnetic field along +x axis with speed 67×105m/s. The figure shows the axis direction and direction of the magnetic field.
a) If the strength of the magnetic field is B=4.5T then calculate the radius of the path the particle follows.
b) How much time it would take for the particle to go one round along that path?
c) If we replace the particle with a new one having mass m2=3.5⋅m1 then what will be the strength of the B field if we want to keep the same time period of the particle?
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