Draw electric field lines for two equal and opposite charge
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Answer:
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Answer:
Explanation:
The electric field at a given distance from a point charge is a vector, pointing away from a positive charge and toward a negative charge. Its magnitude follows the inverse square law: it’s proportional to the charge and inversely proportional to the distance.
- The zero field location has to be on the line running between the two point charges because that’s the only place where the field vectors could point in exactly opposite directions.
- It can’t be between the two opposite charges because there the field vectors from both charges point toward the negative charge. It has to be on one side or the other of both of them, where the vectors point in opposite directions.
- It has to be on the side closer to the smaller charge in order for the field from that charge to be equal in magnitude to the field from the other charge.
Now we have the geometry, let’s get to the algebra. The distance from the smaller charge has to be smaller than the distance from the larger charge by the square root of the ratio of its charge to the larger charge. If you know the ratio of the charges, you know the ratio of the distances. Once you set up your coordinate system you now have to solve a linear equation, not a quadratic.
Example: suppose the smaller charge is one quarter of the larger charge. Its distance from the zero point must be half the distance of the larger charge from the zero point. Lay that out on a line, and you find that the smaller charge is halfway between the larger charge and the zero point.
If the smaller charge is smaller than that, the zero point will be closer to it. If the smaller charge is larger, the zero point will be farther away from it. As it becomes more nearly equal to the larger charge, the zero point moves farther away. In the limit, when the charges are equal, you have to be at infinite distance before the effects of the two charges cancel out.
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