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What is the formula for calculating the magnitude of the mechanical force experienced by a current-carrying conductor perpendicular to the magnetic field, where B = magnetic flux density, I = Current and L = Length of the conductor?
The mechanical force F exerted on a current-carrying conductor placed in a uniform magnetic field is given by the Lorentz force law. When the conductor of length L carrying current I is placed perpendicular to a magnetic field of flux density B, the force is defined as the cross product of the current element and the magnetic field, resulting in the magnitude F=BIL.
The mechanical force F exerted on a current-carrying conductor placed in a uniform magnetic field is given by the Lorentz force law. When the conductor of length L carrying current I is placed perpendicular to a magnetic field of flux density B, the force is defined as the cross product of the current element and the magnetic field, resulting in the magnitude F=BIL.
F=BILsin╬╕ тАФ General formula for magnetic force, where ╬╕ is the angle between the conductor and the magnetic field.
F=BIL тАФ Specific formula for the case where ╬╕=90┬░ (perpendicular).
When a current flows through a conductor, it generates a magnetic field around it. This field interacts with the external magnetic field B, creating an imbalance in the magnetic flux distribution. This interaction produces a mechanical Lorentz force on the charge carriers (electrons) within the conductor, which is transferred to the conductor material itself, causing motion.
The SI unit for magnetic flux density B is Tesla (T).
The direction of the force is determined by Fleming's Left-Hand Rule.
The magnitude of the force is maximum when the conductor is perpendicular to the magnetic field lines.
If the conductor is parallel to the magnetic field, the force experienced is zero.
Fundamental principle behind electric motors.
Allows for the conversion of electrical energy into mechanical energy.
Susceptible to interference from external magnetic fields.
Efficiency depends on proper alignment of the conductor and flux.
DC and AC Motors
Moving-coil Galvanometers
Loudspeakers
Option A (BI2L), B (B2/LI), and D (B2LI) are dimensionally and physically incorrect representations of the Lorentz force.
This force is the basis for torque generation in electrical machines.
C is correct тАФ The magnitude of the force experienced by a current-carrying conductor perpendicular to a magnetic field is given by the formula F=BIL.
Always check the orientation angle ╬╕ mentioned in the problem; if the problem says 'perpendicular', remember that sin(90┬░)=1, simplifying the general formula F=BILsin╬╕ to F=BIL.
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