The Current Balance

# The Current Balance - The Current Balance Johnathon Tran...

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The Current Balance Johnathon Tran 4/03/08 University Physics II, H1 Dr. John Stewart Justin Mitchell

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Purpose: To calculate the permeability of free space, µ o , through experiment and to compare the calculation to the known, accepted value of µ o . Therory: Two “infinite” parallel wires are placed directly above each other on a balance. The bottom wire carries a current, I , which, using the infinite straight wire approximation, creates a magnetic field of = B µ0I2πr . The top wire creates an approximate magnetic field of = B µ0I2πd0 where the separation, d 0 , is held constant. The top wire’s current runs in the opposite direction creating a force of = × Fm Il B . A small mass is then added to the top wire. To keep the separation, d 0 , constant, the force of the top wire must be equal and opposite to the weight of the mass. This gives us the equation = Ilµ0I2πd0 ; rearranging gives us = I2 2gπd0lµ0m . By graphing I 2 versus m , we can calculate its slope which is 2gπd0lµ0 . The slope can then be used to calculate µ 0 .
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