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Equal charges, one at rest, the other having a velocity of 104 m/s, are released in a uniform magnetic field. Which charge has the largest force exerted on it by the magnetic field

User Imad Ali
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Final answer:

The moving charge with a velocity of 104 m/s will experience a larger force from the magnetic field compared to the stationary charge, which will experience no force due to its lack of motion.

Step-by-step explanation:

The force exerted on a charge by a magnetic field is given by the Lorentz force equation F = qvBsinθ, where q is the charge, v is the velocity of the charge, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector. For a charge at rest, there is no force because v = 0, and therefore F = 0. However, for a moving charge, as long as there is a component of the velocity perpendicular to the magnetic field, there will be a non-zero force since v ≠ 0. Therefore, the charge with a velocity of 104 m/s will experience the larger force exerted on it by the magnetic field, compared to the stationary charge which will experience no force.

User Ofey
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