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This is a parallel circuit problem, and we're given the following dataThis is a parallel circuit problem, and we're given the following 

- \( R_1 = 3 \, \Omega \)
- \( R_2 = 5 \, \Omega \)
- \( I_1 = 13 \, A \)

The goal is to determine the current flowing through \( R_2 \).

### Step-by-step Solution:

1. **Identify the voltage across the resistors:**
   Since \( R_1 \) and \( R_2 \) are in parallel, the voltage across both resistors will be the same, which we can calculate using Ohm's Law:

   \[
   V = I_1 \cdot R_1
   \]
   Where:
   - \( I_1 = 13 \, A \)
   - \( R_1 = 3 \, \Omega \)

   Substituting values:
   \[
   V = 13 \, A \cdot 3 \, \Omega = 39 \, V
   \]

2. **Determine the current through \( R_2 \):**
   Now, using Ohm's Law again for \( R_2 \), we can calculate the current \( I_2 \) through \( R_2 \). The formula is:

   \[
   I_2 = \frac{V}{R_2}
   \]
   Substituting the values of \( V = 39 \, V \) and \( R_2 = 5 \, \Omega \):

   \[
   I_2 = \frac{39 \, V}{5 \, \Omega} = 7.8 \, A
   \]

### Final Answer:
The current flowing through \( R_2 \) is \( \boxed{7.8 \, A} \).

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Would you like further details on any part of this solution or have additional questions?

### Here are 5 related questions:
1. How would the current change if \( R_2 \) were doubled?
2. What would be the total current if both resistances were equal?
3. How can we calculate the total resistance in this parallel circuit?
4. What is the relationship between voltage, current, and resistance in parallel circuits?
5. How do parallel circuits behave compared to series circuits?

### Tip:
In parallel circuits, the voltage across each branch is the same, but the current divides according to the resistance of each branch.

Determine the current flowing through R_2, given: R_1 = 3 Ω, R_2 = 5 Ω, and I_1 = 13 A.

Solve this parallel circuit problem involving two resistors, R_1 = 3 Ω and R_2 = 5 Ω, and a total current I_1 = 13 A. Learn how to apply Ohm's Law to find the current through R_2 using step-by-step calculations. Suitable for Grades 10-12.

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