https://file.aiquickdraw.com/mathbot/file/1723127785446qghjt8yn.jpg

tentukan resultan gaya coulomb pada muatan C

To determine the resultant Coulomb force on charge \( C \) based on the diagram provided, let's follow these steps:

### 1. **Identify the Charges and Distances:**
   - It appears there are charges at points \( A \), \( B \), and \( C \).
   - The distance between charges \( A \) and \( B \) is given as 4 cm.
   - The distance between charges \( B \) and \( C \) is 3 cm.
   - The diagram shows the distances and the corresponding charges.

### 2. **Coulomb's Law:**
   The force between two point charges is given by Coulomb's law:
   \[
   F = k_e \frac{|q_1 \cdot q_2|}{r^2}
   \]
   where:
   - \( F \) is the magnitude of the force between the charges,
   - \( k_e \) is Coulomb's constant (\( 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \)),
   - \( q_1 \) and \( q_2 \) are the magnitudes of the charges,
   - \( r \) is the distance between the charges.

### 3. **Calculate Individual Forces:**
   - **Force \( F_{AC} \):** between \( A \) and \( C \).
   - **Force \( F_{BC} \):** between \( B \) and \( C \).

   Let's assume the charge magnitudes are \( q_A \), \( q_B \), and \( q_C \) respectively.

### 4. **Resultant Force:**
   The resultant force on charge \( C \) will be the vector sum of \( F_{AC} \) and \( F_{BC} \). Since this involves vector addition, it's important to take into account the directions of the forces.

   - If the charges are like charges (both positive or both negative), the forces will repel.
   - If the charges are opposite, they will attract.

### 5. **Apply the Pythagorean Theorem:**
   If the forces are perpendicular, use the Pythagorean theorem to find the resultant magnitude.

### 6. **Direction:**
   The direction of the resultant force can be found using trigonometry.

Please provide the specific charge values \( q_A \), \( q_B \), and \( q_C \) if you have them, or let me know if you'd like to use specific values. If the diagram provides additional details (like angles or directions), I can use that to calculate the resultant force more accurately.

Would you like the detailed calculations with these assumptions?

Learn how to determine the resultant Coulomb force on charge C using Coulomb's law and vector addition. This problem involves calculating the forces between multiple charges and finding the vector sum. Suitable for advanced high school physics students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation