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Quiz04_solutions

# Quiz04_solutions - Physics 222 Fall 2011 Quiz 4A Magnetic...

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Physics 222 Fall 2011 Quiz 4A Magnetic Force: B l I F B v q F B B × = × = θ θ sin sin IlB F qvB F B B = = 1) There is a constant magnetic field in the +z direction. a) An electron is moving in the +x direction. What is the direction the magnetic force on the electron? b) What is the magnitude and direction of the magnetic force if the velocity of the electron and the magnetic field are parallel? Solution: a) Using B v q F B × = and the right hand rule we see that the force on a positive charge is in the -y direction (the vector product B v × is directed in the -y direction). Since the electron charge is negative, the final force is in the +y. b) If the velocity and the field are parallel then 0 = × = B v q F B 2) A wire with current of 2.0 A is oriented in the +z direction. This wire is positioned in a 3.0 T magnetic field. The magnetic field is directed at 30 degrees from the z-axis and is in z-y plane as shown in the figure below. What is the magnitude and the direction of the force felt by a 1.0 m section of the wire? Solution: Use θ sin IlB F B = with I=2.0A , B=3.0T , l=1.0m , and 30 = θ . ( 29 ( 29 ( 29 ( 29 N T m A IlB F B 0 . 3 30 sin 0 . 3 0 . 1 0 . 2 sin = = = θ .

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Quiz04_solutions - Physics 222 Fall 2011 Quiz 4A Magnetic...

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