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Exercise:
A coil is LO long has a radius of rO and NO turns. abcliste abc Calculate the magnetic field near the centre of the coil for a current of IO. abc What is the percentage error you make when calculating the magnitude of the magnetic field using the solenoid approximation? abcliste

Solution:
abcliste abc B mu_fracN IsqrtL^+d^ BF ncmuotimesfracNtimes IsqrtL^+timesr^ B approx resultBP- abc The expression for the field inside a solenoid is B' mu_fracN IL The ratio between the solenoid and the coil field is fracB'B fracsqrtL^+d^L sqrt+ r/L^ sqrt+times r/L^ ratio The value calculated with the solenoid approximation is incpercP too large. abcliste
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Exercise:
A coil is LO long has a radius of rO and NO turns. abcliste abc Calculate the magnetic field near the centre of the coil for a current of IO. abc What is the percentage error you make when calculating the magnitude of the magnetic field using the solenoid approximation? abcliste

Solution:
abcliste abc B mu_fracN IsqrtL^+d^ BF ncmuotimesfracNtimes IsqrtL^+timesr^ B approx resultBP- abc The expression for the field inside a solenoid is B' mu_fracN IL The ratio between the solenoid and the coil field is fracB'B fracsqrtL^+d^L sqrt+ r/L^ sqrt+times r/L^ ratio The value calculated with the solenoid approximation is incpercP too large. abcliste
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Attributes & Decorations
Branches
Magnetism
Tags
coil, current, magnetic field, solenoid
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration
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