A human being can be electrocuted if a current as small as 50 mA passes near the heail. An electrician working with sweaty hands makes good contact with the two conductors he is bolding one in each hand. If his resistance is `2100 Omega.` What might the fatal voltage be?

Answer

To solve the problem of determining the fatal voltage that can electrocute a human being, we will use Ohm's Law, which states that Voltage (V) is equal to the current (I) multiplied by the resistance (R).

### Step-by-Step Solution:

1. **Identify the Given Values:**
- The current that can be fatal is given as \( I = 50 \, \text{mA} = 50 \times 10^{-3} \, \text{A} \).
- The resistance of the electrician is given as \( R = 2100 \, \Omega \).

2. **Apply Ohm's Law:**
- According to Ohm's Law, the formula to calculate voltage is:
\[ V = I \times R \]

3. **Substitute the Values into the Formula:**
- Substitute the values of current and resistance into the equation:
\[ V = (50 \times 10^{-3} \, \text{A}) \times (2100 \, \Omega) \]

4. **Calculate the Voltage:**
- First, calculate \( 50 \times 2100 \):
\[ 50 \times 2100 = 105000 \]
- Now, since we have \( 50 \times 10^{-3} \), we can write:
\[ V = 105000 \times 10^{-3} = 105 \, \text{V} \]

5. **Conclusion:**
- The fatal voltage is \( V = 105 \, \text{V} \).

### Final Answer:
The fatal voltage that can electrocute a human being is **105 volts**.

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