Vargas Best
01/19/2024 · Junior High School
3. Points A and B are on the same electric field line. If an electron is released and moves from A to \( \mathrm{B},(a \). \( ) \) is the field directed from A to B or from B to A ? \( (b \).\( ) Is the potential difference \) between points A and B positive or negative? \( \bullet \bullet \)
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Given:
- Points A and B are on the same electric field line.
- An electron is released and moves from A to B.
(a) To determine the direction of the electric field from point A to point B:
- Since the electron moves from A to B, the electric field must be directed from A to B to accelerate the electron in that direction.
(b) To determine the potential difference between points A and B:
- The potential difference between two points in an electric field is given by the formula: \( V = -\int_{A}^{B} \vec{E} \cdot d\vec{l} \), where \( \vec{E} \) is the electric field and \( d\vec{l} \) is the displacement vector.
- Since the electron moves from A to B, the potential difference between A and B will be negative because the electron is moving in the direction of decreasing potential energy.
Therefore, the electric field is directed from A to B, and the potential difference between points A and B is negative.
Quick Answer
(a) The electric field is directed from A to B.
(b) The potential difference between A and B is negative.
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