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A constant electric field moves a positive point charge from one position to another position so that the change in electric potential is −450 V. Which of the following must increase during this movement?
  • a)
    The charge’s potential energy
  • b)
    The charge’s electric potential
  • c)
    The charge’s acceleration
  • d)
    The charge’s velocity
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A constant electric field moves a positive point charge from one posit...
  • According to the question stem, there is an electric potential difference between the two positions.
  • The negative change in electric potential indicates that the point charge moves from a position of higher electric potential to a position of lower electric potential.
  • The point charge displacement as a result of a constant electric field indicates that the point charge moves to a more favorable, downstream position. This indicates that the charge loses potential energy and gains kinetic energy during the movement.
  • Just like a ball dropped from a height due to the force of gravity, the point charge moves to its new location due to the force generated by the electric field on the charge. In both situations, the object being moved will increase in velocity during its movement.
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A constant electric field moves a positive point charge from one posit...
Explanation:

Charge's potential energy:
- The potential energy of a charge in an electric field is given by the equation U = qV, where U is the potential energy, q is the charge, and V is the electric potential.
- Since the change in electric potential is -450V, the potential energy of the charge will decrease by 450V as it moves from one position to another.

Charge's electric potential:
- The electric potential of a charge is defined as the electric potential energy per unit charge. It is given by the equation V = U/q, where V is the electric potential, U is the potential energy, and q is the charge.
- Since the charge is moving in a constant electric field, the electric potential remains constant and does not increase or decrease.

Charge's acceleration:
- The acceleration of a charge in an electric field depends on the force acting on it, which in turn depends on the electric field strength and the charge of the particle.
- Since the electric field is constant, the acceleration of the charge will also remain constant and will not increase during the movement.

Charge's velocity:
- As the charge moves from one position to another against the electric field, its kinetic energy will increase, leading to an increase in velocity.
- Therefore, the charge's velocity must increase during this movement.
In conclusion, the correct answer is option 'D' - The charge's velocity must increase during the movement.
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