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# 4 magnetic force magnetic field mathematical

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### 4 magnetic force magnetic field mathematical

1. 1. Magnetic Force
2. 2. Right Hand Rule F is directly proportional to qvB F=qvB sinϴ F=force of the charge (Newton/ N) q=charge (Coulomb/C) v=velocity of the charge (m/s) B= magnetic field (Tesla/T)
3. 3. F= ILB sinϴ F=force of the charge (Newton/ N) I= Current flowing in the material/wire L=length of the wire B= magnetic field (Tesla/T)
4. 4. Sample Problem no. 1 A positive charge of 0.300 C moves horizontally due +x at speed 2.50x102m/s. It entered a magnetic field direction of –y with a magnitude of 0.400T. What is the force (magnitude and direction) on the charge?
5. 5. Answer F=30.0N (-z)
6. 6. Sample Problem no. 2 A straight horizontal wire is 1.50m long and flowing through it is 5.00A current along the +x. The wire moves through a field of magnitude of 0.300T direction in the +z direction. What is the magnitude and direction of force on the wire?
7. 7. Answer F= 2.25 N (-y)
8. 8. Answer P283 Practice Exercise #1 b and #2 a