https://file.aiquickdraw.com/mathbot/file/17284909019778z9gwi36.jpg

The question involves an electrical circuit with current division and asks to calculate \( I_3 \) when \( I_2 = \frac{1}{4} I_1 \), given that \( I_1 = 600 \, \text{mA} \).

### Step-by-step solution:

1. **Given**:
   - \( I_1 = 600 \, \text{mA} \)
   - \( I_2 = \frac{1}{4} I_1 \)
   
2. **Calculate \( I_2 \)**:
   \[
   I_2 = \frac{1}{4} \times I_1 = \frac{1}{4} \times 600 \, \text{mA} = 150 \, \text{mA}
   \]

3. **Use Kirchhoff's Current Law (KCL)** at the junction where the current splits:
   - \( I_1 = I_2 + I_3 \)
   - Therefore, \( I_3 = I_1 - I_2 \)
   
4. **Substitute the values of \( I_1 \) and \( I_2 \)**:
   \[
   I_3 = 600 \, \text{mA} - 150 \, \text{mA} = 450 \, \text{mA}
   \]

Thus, the value of \( I_3 \) is **450 mA**.

### The correct answer is:
**C. 450 mA**

---

Do you need further clarification or details on this problem?

Here are five related questions:
1. What is Kirchhoff's Current Law (KCL) and how is it applied?
2. How do you calculate current in a parallel circuit?
3. What is the difference between series and parallel circuits?
4. How does the total resistance affect current in parallel circuits?
5. What other laws govern current and voltage in electrical circuits?

**Tip:** In parallel circuits, the sum of currents through each branch equals the total current entering the junction!

Perhatikan gambar rangkaian listrik berikut! Jika I2 = 1/4 I1, maka I3 sebesar... (600 mA total current at I1, with branching for I2 and I3)

Learn how to calculate the current I3 in a parallel electrical circuit using Kirchhoff's Current Law, where I2 is 1/4 of I1 and I1 is 600 mA. This problem demonstrates how to apply current division and KCL, making it ideal for high school 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