A current of 2.34 A flows in resistance of `11. 111111Omega` The potential difference across the given resistance with due regard for the significant figure is

Options

A. 26.000 A
B. 26.00 A
C. 26.0 V
D. 26 V

Answer

To solve the problem of finding the potential difference across a resistance when a current flows through it, we will use Ohm's Law, which states:

\[ V = I \times R \]

Where:
- \( V \) is the potential difference (voltage),
- \( I \) is the current (in amperes),
- \( R \) is the resistance (in ohms).

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Current \( I = 2.34 \, \text{A} \)
- Resistance \( R = 11.111111 \, \Omega \)

2. **Apply Ohm's Law**:
- Substitute the values into the formula:
\[ V = I \times R = 2.34 \, \text{A} \times 11.111111 \, \Omega \]

3. **Perform the Multiplication**:
- Calculate the product:
\[ V = 2.34 \times 11.111111 = 25.99999994 \, \text{V} \]

4. **Round to the Correct Number of Significant Figures**:
- The current \( 2.34 \) has three significant figures.
- The resistance \( 11.111111 \) has eight significant figures.
- The result should be rounded to three significant figures (the lesser number of significant figures).
- Thus, \( 25.99999994 \) rounded to three significant figures is \( 26.0 \, \text{V} \).

5. **Final Answer**:
- The potential difference across the resistance is:
\[ V = 26.0 \, \text{V} \]