A point charge with a mass of 1.81 ng and a charge of +1.22 uC moves...

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Physics

A point charge with a mass of 1.81 ng and a charge of +1.22 uCmoves in the x-y plane with a velocity of 3.00 x 104 m/s in adirection 15Â° above the +x-axis. At time t=0, the point chargeenters a uniform magnetic field of strength 1.25 T that points inthe +x-direction. Assume that the point charge remains immersed inthe uniform magnetic field after time t=0.
a. (5 points) What is the magnitude and direction of themagnetic force that the magnetic field exerts on the point chargeat time t=0?
b. (5 points) How does the x-component of the chargeâ€™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. (5 points) How does the y-component of the chargeâ€™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. (5 points) Use your answers from parts 1b & 1c to explainwhy the path of this point charge is helical (corkscrew-shaped).Explain your reasoning.
e. (2.5 points) Determine the radius of the circular part of thepoint chargeâ€™s helical path.

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4.0 Ratings (463 Votes)

aq charge 122 x 106 Crepresenting the velocity in unit vector notation where idenotes direction along xaxis and j denotes direction alongYaxisvelocity of the charge 3 x 104 Cos15 i 3 x104 Sin15 j 289 x 104 i 078 x104 j magnetic field 125 i Tmagnetic See Answer

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