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The Emf Induced Across A Moving Straight Conductor. The Straight Conductor. The straight conductor can be thought of as a a single turn coil stretched out. The emf generated by a single turn coil is:. Where n=1. Remembering.
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The Straight Conductor • The straight conductor can be thought of as a a single turn coil stretched out
The emf generated by a single turn coil is: Where n=1 Remembering A stationary straight conductor does not enclose any area but as it moves it sweeps out an area each second
A=l x x Length l Distance moved perpendicular to the field (x)
In a uniform field B does not change and the length of the conductor stays the same so we can write Where B is the flux density l is the length of the conductor perpindicular to the field v is its velocity
Example 1 • An aeroplane with wingspan 20.5m travels south to north at 310ms-1 a region where the vertical component of the Earth magnetic field is 3.0 x 10-5T. What is the emf generated between the wingtips?
Example 2 • A patient is pushed into an 3.2T MRI scanner at 1ms-1. The patient has a 5cm tungsten pin through the bone of one leg at 900 to the field lines during this process. • What is the emf generated between the ends of the pin? • What would happen if the pin was made of steel?
Example 3 • A 2m scaffolding pole falls from a tall building. It falls horizontally pointing East to West for 2 seconds. • What is the average velocity of the falling pole? • What is the average emf generated between the ends of the pole as it falls. (Horizontal component of the Earth field 5.4 x 10-5T, Vertical Component of the Earth field 3.4 x 10-4 T)