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  • Electric Force on Electron and Proton: A Comparative Analysis
    Here's how to analyze the forces and accelerations on a free electron and proton in an identical electric field:

    Forces:

    * The force on a charged particle in an electric field is given by: F = qE, where:

    * F is the force

    * q is the charge of the particle

    * E is the electric field strength

    * Electron: The electron has a negative charge (-e). Therefore, the force on it will be in the opposite direction of the electric field.

    * Proton: The proton has a positive charge (+e). The force on it will be in the same direction as the electric field.

    In summary: The forces on the electron and proton will be equal in magnitude but opposite in direction due to their opposite charges.

    Accelerations:

    * Newton's Second Law: F = ma, where:

    * m is the mass of the particle

    * a is the acceleration

    * Comparing Accelerations: Since the force on the electron and proton is the same (in magnitude), but the electron has a much smaller mass than the proton, the electron will experience a much larger acceleration.

    In summary: The electron, being much lighter, will accelerate much more than the proton even though they experience the same force.

    Key Points:

    * The electric field determines the force on a charged particle.

    * The charge of the particle determines the direction of the force.

    * The mass of the particle determines its acceleration under a given force.

    Let me know if you have any other questions!

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