DETERMINING FIELD OF VIEW continued... p. 2 Example Calculation Problem: If the magnification at low power is 40 X and the $$ \mathrm{FOV}_{\text {Lp }} $$ is 5 mm , what is the FOV at high power if the magnification at high power is 400 X ? Solution: $$ \begin{aligned} \mathrm{FOV}_{H P} & =\frac{\operatorname{Mag}_{L P} \times F O V_{L P}}{\operatorname{Mag}_{H P}} \ & = \end{aligned} $$ $$ = $$ $$ \qquad $$ mm or $$ \qquad $$ $$ \mu \mathrm{m} $$ $$ \therefore $$ The FOV at high power is $$ \qquad $$ mm or $$ \qquad $$ $$ \mu \mathrm{m} $$. Practice Problems Put your answers in the spaces provided below each problem. Show your work. Problem \#1: Determine the FOV of this medium Problem \#2: Determine the FOV of this low power

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Certainly! Let's complete the **Example Calculation** and provide detailed solutions for the practice problems.

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### **Example Calculation**

**Problem:**  
If the magnification at low power is $$ 40 \times $$ and the $$ \mathrm{FOV}_{\text{Lp}} $$ is $$ 5 $$ mm, what is the FOV at high power if the magnification at high power is $$ 400 \times $$?

**Solution:**

The formula to determine the Field of View (FOV) at high power is:

$$
\mathrm{FOV}_{\text{HP}} = \frac{\operatorname{Mag}_{\text{LP}} \times \mathrm{FOV}_{\text{LP}}}{\operatorname{Mag}_{\text{HP}}}
$$

Plugging in the given values:

$$
\begin{aligned}
\mathrm{FOV}_{\text{HP}} &= \frac{40 \times 5 \text{ mm}}{400} \
&= \frac{200 \text{ mm}}{400} \
&= 0.5 \text{ mm}
\end{aligned}
$$

Converting millimeters to micrometers:

$$
0.5 \text{ mm} = 500 \, \mu\text{m}
$$

**$$ \therefore $$** The FOV at high power is **$$ 0.5 $$ mm** or **$$ 500 \, \mu\text{m} $$**.

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### **Practice Problems**

**Practice Problem \#1:**  
*Determine the FOV of this medium.*

*Given:*  
- Magnification at medium power: $$ 100 \times $$  
- $$ \mathrm{FOV}_{\text{Mp}} = 2 $$ mm  
- Magnification at high power: $$ 400 \times $$

**Solution:**  
$$
\mathrm{FOV}_{\text{HP}} = \frac{\operatorname{Mag}_{\text{Mp}} \times \mathrm{FOV}_{\text{Mp}}}{\operatorname{Mag}_{\text{HP}}} = \frac{100 \times 2 \text{ mm}}{400} = 0.5 \text{ mm} \text{ or } 500 \, \mu\text{m}
$$

**Answer:**  
$$ \mathrm{FOV}_{\text{HP}} = 0.5 $$ mm or $$ 500 \, \mu\text{m} $$

---

**Practice Problem \#2:**  
*Determine the FOV at low power.*

*Given:*  
- Magnification at low power: $$ 25 \times $$  
- $$ \mathrm{FOV}_{\text{Lp}} = ? $$  
- Magnification at medium power: $$ 100 \times $$  
- $$ \mathrm{FOV}_{\text{Mp}} = 2 $$ mm

**Solution:**  
Using the formula rearranged to find $$ \mathrm{FOV}_{\text{Lp}} $$:

$$
\mathrm{FOV}_{\text{Lp}} = \frac{\operatorname{Mag}_{\text{LP}} \times \mathrm{FOV}_{\text{LP}}}{\operatorname{Mag}_{\text{HP}}}
$$

However, since we need to find $$ \mathrm{FOV}_{\text{Lp}} $$ given $$ \mathrm{FOV}_{\text{Mp}} $$:

$$
\mathrm{FOV}_{\text{Mp}} = \frac{\operatorname{Mag}_{\text{LP}} \times \mathrm{FOV}_{\text{Lp}}}{\operatorname{Mag}_{\text{MP}}}
$$

Solving for $$ \mathrm{FOV}_{\text{Lp}} $$:

$$
\mathrm{FOV}_{\text{Lp}} = \frac{\mathrm{FOV}_{\text{Mp}} \times \operatorname{Mag}_{\text{MP}}}{\operatorname{Mag}_{\text{LP}}} = \frac{2 \text{ mm} \times 100}{25} = 8 \text{ mm}
$$

**Answer:**  
$$ \mathrm{FOV}_{\text{Lp}} = 8 $$ mm

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Feel free to attempt these practice problems and refer back to the solutions for guidance!
**Example Calculation:** - **Given:** - Low power magnification ($$ \operatorname{Mag}_{\text{LP}} $$) = 40× - Low power field of view ($$ \mathrm{FOV}_{\text{LP}} $$) = 5 mm - High power magnification ($$ \operatorname{Mag}_{\text{HP}} $$) = 400× - **Solution:** $$ \mathrm{FOV}_{\text{HP}} = \frac{\operatorname{Mag}_{\text{LP}} \times \mathrm{FOV}_{\text{LP}}}{\operatorname{Mag}_{\text{HP}}} = \frac{40 \times 5 \text{ mm}}{400} = 0.5 \text{ mm} = 500 \, \mu\text{m} $$ - **Conclusion:** - The field of view at high power is **0.5 mm** or **500 μm**. --- **Practice Problems:** 1. **Problem \#1:** - **Given:** - Medium power magnification ($$ \operatorname{Mag}_{\text{MP}} $$) = 100× - Medium power field of view ($$ \mathrm{FOV}_{\text{MP}} $$) = 2 mm - High power magnification ($$ \operatorname{Mag}_{\text{HP}} $$) = 400× - **Solution:** $$ \mathrm{FOV}_{\text{HP}} = \frac{\operatorname{Mag}_{\text{MP}} \times \mathrm{FOV}_{\text{MP}}}{\operatorname{Mag}_{\text{HP}}} = \frac{100 \times 2 \text{ mm}}{400} = 0.5 \text{ mm} = 500 \, \mu\text{m} $$ - **Answer:** $$ \mathrm{FOV}_{\text{HP}} = 0.5 $$ mm or $$ 500 \, \mu\text{m} $$ 2. **Problem \#2:** - **Given:** - Low power magnification ($$ \operatorname{Mag}_{\text{LP}} $$) = 25× - Medium power magnification ($$ \operatorname{Mag}_{\text{MP}} $$) = 100× - Medium power field of view ($$ \mathrm{FOV}_{\text{MP}} $$) = 2 mm - **Solution:** $$ \mathrm{FOV}_{\text{LP}} = \frac{\mathrm{FOV}_{\text{MP}} \times \operatorname{Mag}_{\text{MP}}}{\operatorname{Mag}_{\text{LP}}} = \frac{2 \text{ mm} \times 100}{25} = 8 \text{ mm} $$ - **Answer:** $$ \mathrm{FOV}_{\text{LP}} = 8 $$ mm --- *Feel free to attempt these practice problems and refer back to the solutions for guidance!*

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