The resistance `R = V//i`, where `V = 100 +- 5 V and I = 10+- 0.2 A`. What is the total error in `R`?

Explanation

To find the total error in the resistance \( R \) given by the formula \( R = \frac{V}{I} \), where \( V = 100 \pm 5 \) volts and \( I = 10 \pm 0.2 \) amperes, we will follow these steps:

### Step 1: Identify the values and their uncertainties
- Voltage \( V = 100 \, V \) with an uncertainty \( \Delta V = 5 \, V \)
- Current \( I = 10 \, A \) with an uncertainty \( \Delta I = 0.2 \, A \)

### Step 2: Calculate the nominal value of resistance \( R \)
Using the formula for resistance:
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