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A positively charged particle is release...

A positively charged particle is released from rest in a uniform electric field. The electric potential energy of the charge.

A

remains a constant because the electric field is uniform.

B

increase because the charge moves along the electric field.

C

decreases because the charge moves along the electric field.

D

decreases because the charge moves opposite to the electric field.

Text Solution

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The correct Answer is:
To solve the problem of a positively charged particle released from rest in a uniform electric field, we can follow these steps: ### Step-by-Step Solution 1. **Understanding the Electric Field**: - A uniform electric field is defined as a region where the electric force is constant in magnitude and direction. For a positively charged particle, the force acting on it will be in the direction of the electric field. 2. **Initial Conditions**: - The positively charged particle is released from rest, meaning its initial velocity is zero. At this point, it has a certain electric potential energy due to its position in the electric field. 3. **Movement of the Charged Particle**: - Once released, the positively charged particle will experience a force due to the electric field, causing it to accelerate in the direction of the field. This means that the particle will move from a region of higher electric potential to a region of lower electric potential. 4. **Change in Electric Potential Energy**: - As the particle moves in the direction of the electric field, its electric potential energy decreases. This is because electric potential energy (U) is given by the equation: \[ U = qV \] where \( q \) is the charge of the particle and \( V \) is the electric potential. As the particle moves to a lower potential (V decreases), the electric potential energy (U) also decreases. 5. **Conclusion**: - Therefore, we conclude that the electric potential energy of the positively charged particle decreases as it moves in the direction of the electric field. ### Summary of Key Points: - The positively charged particle moves in the direction of the electric field. - As it moves, it transitions from a higher potential to a lower potential. - Consequently, its electric potential energy decreases.

To solve the problem of a positively charged particle released from rest in a uniform electric field, we can follow these steps: ### Step-by-Step Solution 1. **Understanding the Electric Field**: - A uniform electric field is defined as a region where the electric force is constant in magnitude and direction. For a positively charged particle, the force acting on it will be in the direction of the electric field. 2. **Initial Conditions**: ...
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Knowledge Check

  • A positively charged particle is released from rest in an uniform electric field. The electric potential energy of the charge

    A
    remains a constant because the electric field is uniform.
    B
    increases because the charge moves along the electric field.
    C
    decreases because the charge moves along the electric field.
    D
    decreases because the charge moves opposite to the electric field.
  • A charge particle is free to move in an electric field. It will travel

    A
    Always along a line force
    B
    Along a line of force, if its initial velocity is zero
    C
    Along a line of force, if has some initial velocity in the direction of an acute with the line of force
    D
    None of these
  • Assertion(A): Total work done by non-unifrom electric field on a charged particle starting from rest to any time is non-negative (Assume no other forces act on the charged particle) Reason(R ):the angle between electrostatic force and velocity of the charged particle released from rest in non-uniform electric field is always acute. (Assume no other forces act on the charged particle)

    A
    Both `A` and `R` are true and `R` is the correct explanation of `A`
    B
    Both `A` and `R` are True but `R` is not the correct explanation of `A`.
    C
    `A` is true and `R` is false
    D
    `A` is false and `R` is true.
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