E&M; Test Open Book/Notes April 6,2018 Dr. C. R. Handy One vector lies in the x-
ID: 2036972 • Letter: E
Question
E&M; Test Open Book/Notes April 6,2018 Dr. C. R. Handy One vector lies in the x-y plane, A. It lies 30 degrees above the x-axis and has a length of3 The other vector B, lies 45 degrees above the x-axis and has a length of 5. Calculate the cross product Ax B. What is its magnitude and in what direction is it pointing? 1. 2. An electron is moving at 45 degrees north of east with a speed of 30 m/s. A magnetic field of strength B 10 T is pointing up (off the North South East West plane). What is the magnitude of the Lorenz/Magnetic Force? In what direction is the force pointing (draw pictures and determine the angle) ? Which way does the electron move? current carrying wire is oriented 45 degrees east of north, carrying positive current of 50 Amps. A magnetic field is pointing in a direction 30 degrees west of north with a magnitude of 10 T. Calculate the Magnetic Force per Unit Length on the wire. What is the magnitude? In what direction is it pointing? 3. A A proton moves in the x-direction with a speed of 50 m/s. A magnetic field points in the y direction with a magnitude of 10 T. Determine the direction of the force and its magnitude. 4.Explanation / Answer
4.
Magnetic force is given by:
Fm = q*VxB
q = +e = 1.6*10^-19 C
V = (50 m/sec) i
B = (10 T) j
VxB = 50 i X 10 j = 500*(1.6*10^-19*500)
ixj = k
VxB = 500 k
So,
F = 1.6*10^-19*500 k
F = (8.0*10^-17 N) k
Magnitude = |F| = 8.0*10^-17 N
Direction = +k = out of the page
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