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The circuit in the image shows three branches, each with resistors and voltage sources. To determine the current in each branch, we can use **Ohm's Law** and **Kirchhoff's Laws**. The steps generally involve calculating the total resistance of each branch and applying the voltage division method to find the current through each branch. 

### Components:
- First branch: 50V source, 5Ω resistor, and 30Ω resistor.
- Second branch: 150V source, 5Ω resistor, and 10Ω resistor.
- Third branch: 40V source and a 10Ω resistor.

#### Ohm’s Law:
\[ I = \frac{V}{R} \]

For each branch:
1. **Branch 1 (left):** 
   - Voltage: 50V
   - Total resistance: \( 30\Omega + 5\Omega = 35\Omega \)
   - Current: \( I_1 = \frac{50V}{35\Omega} = 1.43A \)

2. **Branch 2 (middle):** 
   - Voltage: 150V
   - Total resistance: \( 10\Omega + 5\Omega = 15\Omega \)
   - Current: \( I_2 = \frac{150V}{15\Omega} = 10A \)

3. **Branch 3 (right):** 
   - Voltage: 40V
   - Total resistance: \( 10\Omega \)
   - Current: \( I_3 = \frac{40V}{10\Omega} = 4A \)

### Final Results:
- Branch 1 current: 1.43A
- Branch 2 current: 10A
- Branch 3 current: 4A

### Checking the Answer Options:
- **None of the exact options provided match these currents directly**. The options presented are 3,5,8; 4,3,5; 8,7,9; and 2,4,6. There seems to be a mismatch, which could be due to a simplification or assumption not accounted for here.

Would you like more details on Kirchhoff’s Laws, or should we proceed differently?

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Here are 5 related questions:
1. How does Kirchhoff's Current Law apply to this circuit?
2. What is the role of voltage division in multi-branch circuits?
3. How do resistors in series and parallel affect total resistance?
4. Can you explain how to find the equivalent resistance in a circuit like this?
5. What are the practical applications of analyzing such circuits?

**Tip:** Always verify the total resistance before calculating the current to avoid miscalculation.

Para o circuito abaixo, determine a intensidade da corrente em cada ramo. Escolha uma opção: 3,5 e 8; 4,3 e 5; 8,7 e 9; 2,4 e 6.

Learn how to calculate the current in each branch of a complex circuit using Ohm's Law and Kirchhoff's Laws. This problem covers key concepts in electricity, including series and parallel resistors, voltage sources, and current division. Suitable for Grades 10-12.

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