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Chap_22_Disc[1]

# Chap_22_Disc[1] - 22-16 A 6.6 C particle moves through a...

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22-16: A +6.6 C particle moves through a region of space where an electric field of magnitude 1250 N/C points in the positive x direction, and a magnetic field of magnitude 1.02 T points in the positive z direction. If the net force acting on the particle is in the positive x direction, find the magnitude and direction of the particle’s velocity. Assume the particle’s velocity is in the x-y plane. 3 6.23 10 N Picture the Problem: The directions of the electric field, magnetic field, velocity, and force vectors involved in this problem are depicted in the diagram at the right. Strategy: The particle is positively charged, so the electric field E exerts a force in the direction. Because the net force acting on the particle is in the direction, the magnetic force must also be along the direction, but it could be in either the ˆ x ˆ x ˆ x ˆ x direction or the direction. We can compare the relative magnitudes of the net force and the electric force to decide in which of these two directions the magnetic force must point. Once the direction of ˆ x B F is known, the Right-Hand Rule can be used to discern the direction of the particle’s velocity . v Solution: 1. Find using equation 19-9: E F

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