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Unit 5 Day 2: Induced EMF in a Moving Conductor

Unit 5 Day 2: Induced EMF in a Moving Conductor. Induced EMF in a Moving Conductor in a Magnetic Field Force Required to Move a Moving Conductor in a Uniform Magnetic Field Electric Generators (AC). Induced EMF in a Moving Conductor in a Magnetic Field.

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Unit 5 Day 2: Induced EMF in a Moving Conductor

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  1. Unit 5 Day 2: Induced EMF in a Moving Conductor • Induced EMF in a Moving Conductor in a Magnetic Field • Force Required to Move a Moving Conductor in a Uniform Magnetic Field • Electric Generators (AC)

  2. Induced EMF in a Moving Conductor in a Magnetic Field • The B-Field is out of the paper and perpendicular to a U-shaped conductor with a movable rod, moving at velocity v. The area of the loop increases as it travels to the right • This equation is valid if B, l, v are mutually perpendicular. This EMF is called motional EMF

  3. Induced EMF in a Moving Conductor in a Magnetic Field • The magnetic force on the electrons on the rod is given by: where q is the charge on the rod • When the rod moves to the right with velocity v, electrons in the rod also move with this speed & feel the force • Another approach to calculating the EMF, is to determine the work done to move a charge q, from one end of the rod to the other:

  4. The Force Required to Move a Conducting Rod in a Uniform Magnetic Field • To make the rod move to the right an external force must be applied in the direction of motion • The power delivered to move the rod equal the power dissipated in the resistance of the rod.

  5. Electric Generators (AC) • A mechanically turned armature, consisting of N-loops of a coil wound on the armature • As the armature is rotated, an EMF is induced in the rotating coil, which alternates as the magnetic flux through the loop reverses. The induced EMF is:

  6. Electric Generators (AC) • The induced EMF is a sinusoidal voltage • A typical AC Generator (Alternator):

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