Force on current carrying conductor

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SUMMARY

The discussion centers on calculating the force acting on a 20cm wire carrying a current of 10A in a magnetic field of 0.3T, positioned at a 40-degree angle to the field. The formula used is F = LIB sin(θ), where L is the length of the wire, I is the current, B is the magnetic field strength, and θ is the angle. The calculated force is 0.35N, while the textbook states it as 0.39N. The discrepancy is attributed to potential miscalculations in determining sin(40°), which equals approximately 0.643.

PREREQUISITES
  • Understanding of the formula F = LIB sin(θ)
  • Knowledge of magnetic fields and forces on conductors
  • Ability to perform trigonometric calculations, specifically sine
  • Familiarity with units of measurement in physics (Newtons, Amperes, Teslas)
NEXT STEPS
  • Review the principles of electromagnetism, focusing on Lorentz force
  • Practice calculating forces on conductors in magnetic fields using different angles
  • Explore the implications of current direction on force magnitude
  • Learn about error analysis in physics calculations to understand discrepancies
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators seeking to clarify concepts related to forces on current-carrying conductors.

uzair_ha91
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Homework Statement



A 20cm wire carrying a current of 10A is placed in a uniform
magnetic field of 0.3T. If the wire makes an angle of 40 degrees with
the direction of magnetic field, find the force acting on the wire.


Homework Equations



F=LIB sin<theta>

The Attempt at a Solution



I got the answer:: 0.35, but in the textbook, the answer written at the back is 0.39...which one's correct??
 
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uzair_ha91 said:

Homework Statement



A 20cm wire carrying a current of 10A is placed in a uniform
magnetic field of 0.3T. If the wire makes an angle of 40 degrees with
the direction of magnetic field, find the force acting on the wire.


Homework Equations



F=LIB sin<theta>

The Attempt at a Solution



I got the answer:: 0.35, but in the textbook, the answer written at the back is 0.39...which one's correct??

Rounding my answer down I agree with the book.I bet you punched the wrong calculator button when you was working out the sin.Sin40=0.643
 

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