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To calculate the current in the circuit based on the given image using **Kirchhoff's Laws**, let's break it down step by step:

### Circuit Overview:
- There are three resistors: \( R_1 \), \( R_2 \), and \( R_3 \) arranged in parallel.
- We are tasked with finding the current in the circuit using **Kirchhoff's Laws**. 

### Applying Kirchhoff’s Current Law (KCL):
KCL states that the total current entering a junction equals the total current leaving the junction. The current \( I \) splits into three parts \( I_1 \), \( I_2 \), and \( I_3 \) across the resistors \( R_1 \), \( R_2 \), and \( R_3 \), respectively.

\[
I = I_1 + I_2 + I_3
\]

### Applying Kirchhoff’s Voltage Law (KVL):
KVL states that the sum of voltage drops around any closed loop in a circuit must equal zero. Each resistor will have a voltage drop according to Ohm's law:

\[
V = I_1 R_1 = I_2 R_2 = I_3 R_3
\]

Where:
- \( V \) is the voltage provided by the source \( E_0 \).

### Step-by-step calculation:
1. Express each current in terms of the voltage and resistance:
   \[
   I_1 = \frac{V}{R_1}, \quad I_2 = \frac{V}{R_2}, \quad I_3 = \frac{V}{R_3}
   \]
2. Since the voltage across all resistors is the same (they are in parallel), the total current \( I \) will be:
   \[
   I = \frac{V}{R_1} + \frac{V}{R_2} + \frac{V}{R_3}
   \]
3. The total equivalent resistance \( R_{eq} \) for resistors in parallel is:
   \[
   \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
   \]
4. Once you have \( R_{eq} \), the total current is:
   \[
   I = \frac{V}{R_{eq}}
   \]

To proceed with the exact values for the resistors and the voltage, let me know if they are given, or I can assist further in deriving them if not provided.

Do you want more details or have any questions about the steps? Here are some related questions:

1. What are the resistor values \( R_1 \), \( R_2 \), and \( R_3 \)?
2. What is the source voltage \( E_0 \)?
3. How does Kirchhoff’s Voltage Law (KVL) apply to this circuit?
4. How does Kirchhoff’s Current Law (KCL) help in analyzing complex circuits?
5. How do parallel and series resistor combinations affect total current?

**Tip:** For circuits with multiple loops and nodes, KCL and KVL simplify analysis by breaking down current and voltage relationships effectively.

Find the current using Kirchhoff's law in a parallel circuit with three resistors.

Learn how to calculate the current in a parallel circuit with three resistors using Kirchhoff's Current and Voltage Laws. This step-by-step guide explains key concepts such as parallel resistors, total equivalent resistance, and current division. Suitable for students in Grades 10-12.

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