q1 = q2 = 1.6 x 10⎻19 C, r = 10 nm, both angle are 30 degree Calculate the magnitude and direction of the forces that each charge puts on the other charge. Write your final results in vector form
q1 = q2 = 1.6 x 10⎻19 C, r = 10 nm, both angle are 30 degree Calculate the magnitude and direction of the forces that each charge puts on the other charge. Write your final results in vector form
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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q1 = q2 = 1.6 x 10⎻19 C, r = 10 nm, both angle are 30 degree
Calculate the magnitude and direction of the forces that each charge puts on the other charge. Write your final results in vector form
![**Electrostatic Interaction Between Like Charges**
In the illustration, we observe an example of electrostatic repulsion between two point charges \( q_1 \) and \( q_2 \), both carrying positive charges. The concept demonstrated here is that charges of the same sign repel each other.
The diagram is positioned on a Cartesian coordinate plane with the x-axis and y-axis. The charge \( q_1 \) is shown on the positive side of the y-axis and charge \( q_2 \) is on the positive side of the x-axis.
A distance \( r \) separates the two charges, and they exert forces on each other due to their electric fields.
**Forces:**
- \( \vec{F}_{2 \text{ on } 1} \): This vector represents the force exerted by charge \( q_2 \) on charge \( q_1 \). It is directed along the line connecting the two charges but points away from \( q_2 \), indicating repulsion.
- \( \vec{F}_{1 \text{ on } 2} \): This vector represents the force exerted by charge \( q_1 \) on charge \( q_2 \). It is equal in magnitude but opposite in direction to \( \vec{F}_{2 \text{ on } 1} \), serving as another indication of repulsion.
The angles \( \theta_1 \) and \( \theta_2 \) are the angles between the lines connecting the charges and the respective coordinate axes.
**Equation:**
The key equation displayed in the diagram is:
\[ \vec{F}_{1 \text{ on } 2} = -\vec{F}_{2 \text{ on } 1} \]
This represents Newton’s third law of motion, which states that for every action, there is an equal and opposite reaction. Here, the force that \( q_1 \) exerts on \( q_2 \) is equal in magnitude and opposite in direction to the force that \( q_2 \) exerts on \( q_1 \).
**Summary:**
The diagram accurately conveys the fundamental electrostatic principle that like charges repel each other and the forces involved in this interaction. This visualization helps in understanding the behavior of electric charges and the application of Newton’s third law in electrostatics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b64befb-94a8-42a1-adf4-44168b6b8246%2F596576a5-9ebf-4c9c-b6c6-1dbb0d27b9f9%2F91zqyf8.png&w=3840&q=75)
Transcribed Image Text:**Electrostatic Interaction Between Like Charges**
In the illustration, we observe an example of electrostatic repulsion between two point charges \( q_1 \) and \( q_2 \), both carrying positive charges. The concept demonstrated here is that charges of the same sign repel each other.
The diagram is positioned on a Cartesian coordinate plane with the x-axis and y-axis. The charge \( q_1 \) is shown on the positive side of the y-axis and charge \( q_2 \) is on the positive side of the x-axis.
A distance \( r \) separates the two charges, and they exert forces on each other due to their electric fields.
**Forces:**
- \( \vec{F}_{2 \text{ on } 1} \): This vector represents the force exerted by charge \( q_2 \) on charge \( q_1 \). It is directed along the line connecting the two charges but points away from \( q_2 \), indicating repulsion.
- \( \vec{F}_{1 \text{ on } 2} \): This vector represents the force exerted by charge \( q_1 \) on charge \( q_2 \). It is equal in magnitude but opposite in direction to \( \vec{F}_{2 \text{ on } 1} \), serving as another indication of repulsion.
The angles \( \theta_1 \) and \( \theta_2 \) are the angles between the lines connecting the charges and the respective coordinate axes.
**Equation:**
The key equation displayed in the diagram is:
\[ \vec{F}_{1 \text{ on } 2} = -\vec{F}_{2 \text{ on } 1} \]
This represents Newton’s third law of motion, which states that for every action, there is an equal and opposite reaction. Here, the force that \( q_1 \) exerts on \( q_2 \) is equal in magnitude and opposite in direction to the force that \( q_2 \) exerts on \( q_1 \).
**Summary:**
The diagram accurately conveys the fundamental electrostatic principle that like charges repel each other and the forces involved in this interaction. This visualization helps in understanding the behavior of electric charges and the application of Newton’s third law in electrostatics.
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