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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

increases because the cahrge moves along the electric field

C

decreases because the charge moves along the electric field

D

decreses 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 need to analyze how the electric potential energy of the charge changes as it moves. Here’s a step-by-step solution: ### Step 1: Understand the Setup A positively charged particle is placed in a uniform electric field. The electric field is defined as a region where a force would be experienced by a charge placed within it. The direction of the electric field is from the positive to the negative charge. **Hint:** Remember that the electric field direction is crucial in determining how the charge will move. ### Step 2: Initial Conditions The particle is released from rest, meaning its initial kinetic energy is zero. The electric potential energy (U) of the charge is given by the formula: \[ U = qV \] where \( q \) is the charge and \( V \) is the electric potential. **Hint:** Consider the relationship between electric potential energy and electric potential. ### Step 3: Movement of the Charge Since the particle is positively charged, it will move in the direction of the electric field. As it moves, it will experience a force due to the electric field, causing it to accelerate. **Hint:** Recall that a charge will always move from a region of higher potential to lower potential in an electric field. ### Step 4: Change in Electric Potential Energy As the positively charged particle moves in the direction of the electric field, it moves from a region of higher electric potential to a region of lower electric potential. Therefore, the electric potential energy of the charge decreases. **Hint:** Electric potential energy decreases when a positive charge moves toward a lower potential. ### Step 5: Conclusion Since the charge is moving from a higher potential to a lower potential, the electric potential energy of the charge decreases as it moves. Thus, the correct conclusion is that the electric potential energy of the charge decreases. **Hint:** Always consider the direction of movement in relation to the electric field when analyzing changes in potential energy. ### Final Answer The electric potential energy of the positively charged particle decreases as it moves in the uniform electric field. ---

To solve the problem of a positively charged particle released from rest in a uniform electric field, we need to analyze how the electric potential energy of the charge changes as it moves. Here’s a step-by-step solution: ### Step 1: Understand the Setup A positively charged particle is placed in a uniform electric field. The electric field is defined as a region where a force would be experienced by a charge placed within it. The direction of the electric field is from the positive to the negative charge. **Hint:** Remember that the electric field direction is crucial in determining how the charge will move. ### Step 2: Initial Conditions ...
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