Answer:
a
The speed of the particle is
b
The potential difference is
Explanation:
From the question we are told that
The mass of the particle is
The charge on the particle is
The magnitude of the magnetic field is
The magnetic flux is
The magnetic flux is mathematically represented as
Where A is the the area mathematically represented as
Substituting this into the equation w have
Making r the subject of the formula
Substituting value
For the particle to form a circular path the magnetic force the partial experience inside the magnetic must be equal to the centripetal force of the particle and this is mathematically represented as
Where
and
Substituting this into the equation above
making v the subject
substituting values
The potential energy of the particle before entering the magnetic field is equal to the kinetic energy in the magnetic field
This is mathematically represented as
Where
and
Substituting into the equation above
Making the potential difference the subject