A charge of +3 C is at the origin. When charge Q is placed at 2 m along the positive x-axis, the electric field at 2 m along the negative x-axis becomes zero. What is the value of Q?
A charge of +3 C is at the origin. When charge Q is placed at 2 m along the positive x-axis, the electric field at 2 m along the negative x-axis becomes zero. What is the value of Q?
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Question
A charge of +3 C is at the origin. When charge Q is placed at 2 m along the positive x-axis, the electric field at 2 m along the negative x-axis becomes zero. What is the value of Q?
Transcribed Image Text:The image is a diagram illustrating the positioning of two charges along a straight line.
- There are two points on the line, both marked with dotted circles.
- The leftmost point is equipped with a cross and labeled as "+3 C", indicating a positive charge of +3 Coulombs.
- The distance from this charge to the center-point between the two charges is marked as "2m".
- The right circle is labeled "Q", representing an unknown charge or variable charge "Q".
- The distance from the center-point to this right charge "Q" is also marked as "2m".
This setup is likely used in problems involving electrostatics, such as calculating the potential difference, force between charges, or the field at various points in the vicinity of the charges.
Expert Solution
Introduction
We know that the electric field at point on the test charge by a given charge is
Where, k= is the proportionality constant of electrostatic force
q= charge
r= distance between the test charge and given charge
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