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The image shows an electrical circuit diagram with three batteries and multiple resistors. The task is to calculate the current flowing out of the positive pole of each battery (24V, 20V, 18V).

Here's how we approach this:

### Step 1: Label the nodes and assign currents.
We need to apply **Kirchhoff's Current Law (KCL)** and **Kirchhoff's Voltage Law (KVL)** to the circuit to find the unknown currents at each branch. The known resistances are:
- \( R_1 = 0.5 \, \Omega \)
- \( R_2 = 2 \, \Omega \)
- \( R_3 = 0.3 \, \Omega \)
- \( R_4 = 5 \, \Omega \)
- \( R_5 = 0.4 \, \Omega \)

The circuit has three batteries:
- \( 24 \, \text{V} \)
- \( 20 \, \text{V} \)
- \( 18 \, \text{V} \)

### Step 2: Write the equations.
We will use **KVL** in each loop to write down the equations based on the voltage drops across the resistors and the supplied voltages from the batteries.

#### Loop 1 (Left loop with 24V and 20V batteries):
\[
24V - (0.5 \, \Omega)I_1 - (2 \, \Omega)I_1 - (0.3 \, \Omega)I_2 - 20V = 0
\]
This simplifies to:
\[
4V = (2.5 \, \Omega)I_1 + (0.3 \, \Omega)I_2
\]

#### Loop 2 (Right loop with 20V and 18V batteries):
\[
20V - (0.3 \, \Omega)I_2 - (5 \, \Omega)I_2 - (0.4 \, \Omega)I_3 - 18V = 0
\]
This simplifies to:
\[
2V = (5.3 \, \Omega)I_2 + (0.4 \, \Omega)I_3
\]

#### Loop 3 (Rightmost loop with 18V battery):
\[
18V - (0.4 \, \Omega)I_3 = 0
\]
This simplifies to:
\[
I_3 = \frac{18V}{0.4 \, \Omega} = 45 \, A
\]

### Step 3: Solve the system of equations.
We can now solve the simultaneous equations to find the currents \( I_1 \), \( I_2 \), and \( I_3 \).

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Would you like a detailed solution step-by-step for solving this system, or any other clarifications? Let me know!

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Here are five follow-up questions to deepen understanding:
1. What is Kirchhoff’s Voltage Law (KVL), and how is it applied in circuit analysis?
2. Can we use Thevenin's theorem to simplify the analysis of this circuit?
3. How do resistors in series and parallel affect the total resistance of a circuit?
4. What are the practical consequences of negative current values in a circuit?
5. How would the current change if the resistance in the circuit increased?

### Tip:
Always check the polarity of your voltage sources and the direction of assumed current flows to avoid sign errors when using KVL.

Calculate the current flowing out of the positive pole of each battery in the given circuit with 24V, 20V, and 18V batteries and resistors (0.5Ω, 2Ω, 0.3Ω, 5Ω, 0.4Ω).

Learn how to calculate the current flowing out of the positive pole of each battery in a circuit using Kirchhoff’s Voltage Law. This problem features a circuit with 24V, 20V, and 18V batteries and resistors of varying values. Suitable for high school students in Grades 10-12.

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