https://file.aiquickdraw.com/mathbot/file/1729183272596bypjlgp2.jpg

The text in the image is in Ukrainian. Here’s the translation of the problem:

"For a voltage of 220 V, the current in the resistor is 3 A.  
What will the current in this resistor be if the voltage is reduced to 110 V?"

### Solution:

Using **Ohm's Law**, which states that \( V = I \cdot R \), where:
- \( V \) is the voltage,
- \( I \) is the current,
- \( R \) is the resistance.

First, calculate the resistance \( R \) using the initial conditions:
\[
R = \frac{V}{I} = \frac{220\ \text{V}}{3\ \text{A}} = 73.33\ \Omega
\]

Now, we calculate the new current when the voltage is reduced to 110 V, keeping the resistance \( R \) constant:
\[
I = \frac{V}{R} = \frac{110\ \text{V}}{73.33\ \Omega} \approx 1.5\ \text{A}
\]

### Final Answer:
The current in the resistor when the voltage is reduced to 110 V will be approximately **1.5 A**.

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. What is the relationship between current, voltage, and resistance in Ohm's Law?
2. How does the resistance of a resistor affect current when the voltage changes?
3. What happens to the power consumed by the resistor when the voltage is reduced?
4. Can Ohm’s law be applied to non-linear circuits?
5. How do you calculate power dissipation in a resistor?

**Tip**: Always ensure that resistance remains constant unless the problem states otherwise. This is crucial for correctly applying Ohm’s Law.

За напруги 220 В сила струму в резисторі дорівнює 3 А. Якою буде сила струму в цьому резисторі, якщо напругу зменшити до 110 В?

Learn how to calculate the current in a resistor when the voltage is reduced. Using Ohm's Law, this problem demonstrates the relationship between current, voltage, and resistance with a practical example. Suitable for students in Grades 9-12.

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