Calculate the force experienced by a 3m conductor carrying 50 amperes orthogonally across a 0.67 tesla magnetic field
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Answer: A. 100 N
Explanation
Magnetic force on a current carrying conductor is calculated by multiplying current, length, and magnetic field. Multiplying fifty amperes by three meters and zero point six seven teslas yields one hundred newtons. The orthogonal orientation ensures the sine of the angle equals one for maximum magnetic force. The Lorentz force law determines the mechanical force experienced by charges moving inside magnetic fields. When the conductor is perpendicular to the flux lines, the force equation simplifies to standard multiplication. Teslas represent the standard unit of magnetic flux density within the international system of units.
This fundamental electromagnetic principle forms the operational basis for all direct current electric motors. Industrial actuators utilize magnetic force calculations to determine precise mechanical output and torque. Physics experiments verify this relationship to calibrate sensitive laboratory force measurement equipment. Option B suggests four hundred newtons, which overestimates the calculated product of the input variables. Option C incorrectly yields six hundred newtons due to improper scaling of the magnetic field value. Option D proposes one thousand newtons, representing a tenfold calculation error from the correct answer.
- Subject
- Engineering
- Category
- Electrical Engineering
- Topic
- —
- Difficulty
- medium
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