A point charge with a mass of 1.81 ng and a charge of +1.22 ?Cmoves in the x-y plane with a velocity of 3.00 x104 m/s in a direction 15° above the +x-axis. At timet=0, the point charge enters a uniform magnetic field ofstrength 1.25 T that points in the +x-direction.Assumethat the point charge remains immersed in the uniform magneticfield after time t=0.
a) What is the magnitude and direction of the magnetic forcethat the magnetic field exerts on the point charge at timet=0?
b) How does the x-component of the charge’s initialvelocity effect the motion of this point charge as it moves throughthe uniform magnetic field? Does its magnitude change? Does itsdirection change? Explain your reasoning.
c) How does the y-component of the charge’s initialvelocity effect the motion of this point charge as it moves throughthe uniform magnetic field? Does its magnitude change? Does itsdirection change? Explain your reasoning.
d) Use your answers from parts 1b & 1c to explain why thepath of this point charge is helical (corkscrew-shaped). Explainyour reasoning.
e) Determine the radius of the circular part of the pointcharge’s helical path.
