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Physics Chapter 25c

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Magnetic Forces and Charges

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Force created by moving charge Remember the third left hand rule: Not only can we determine direction, but we can determine magnitude of the force created by moving current Magnitude depends on 3 things: Strength of the (external) magnetic field (B) Amount of current in the wire Length of the wire present in the magnetic field

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Magnetic Induction and Force Magnitude of the force is the field strength multiplied by the amount of current and the length of wire F = BIL This assumes wire is perpendicular to magnetic field! Rearrange this equation to have an equation for the strength of the magnetic field (magnetic induction): B = F/IL B measured in Teslas 1 T = 1 N/ 1 A. m B for Earth: 5 x 10 -5 T

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Example A 1.0 m wire carries a current of 5.0 A. The wire is at right angles to a uniform magnetic field. The force on the wire is 0.2 N. What is the magnitude of the magnetic induction? Known: F = 0.2 NI = 5.0 AL= 1.0 m Equation: B = F/IL Solve: B=(0.2N)/(5.0A)(1.0m) B= 0.04 T

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Example A wire 1.0 x 10 1 cm long is at right angles to a uniform magnetic field with induction 0.060 T. The current through the wire is 4.0 A. Find the force on the wire. Known: L = 0.10 m B = 0.060 T I = 4.0 A Equation: F = BIL Solve:

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Physics Department, New York City College of Technology

Physics Department, New York City College of Technology

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