Question

A current through a conductor is 2A, when there is a potential difference of 10V between its ends. Its resistance is

• A. \(5\Omega\)
• B. \(0.2\Omega\)
• C. \(20\Omega\)
• D. \(2.5\Omega\)

Answer 1

The Correct Option is A

To solve the problem, we need to determine the resistance of a conductor when a current of \(2 \, \text{A}\) flows through it under a potential difference of \(10 \, \text{V}\).

1. Understanding Ohm's Law:
Ohm's Law states the relationship between voltage (\(V\)), current (\(I\)), and resistance (\(R\)):
\[ V = I \cdot R \] where:

• \(V\) is the potential difference (in volts),
• \(I\) is the current (in amperes),
• \(R\) is the resistance (in ohms).

2. Rearranging for Resistance:
To find the resistance, we rearrange Ohm's Law:
\[ R = \frac{V}{I} \]

3. Substituting the Given Values:
We are given:

• \(V = 10 \, \text{V}\),
• \(I = 2 \, \text{A}\).

Substitute these values into the equation:
\[ R = \frac{10 \, \text{V}}{2 \, \text{A}} \]

4. Performing the Calculation:
\[ R = \frac{10}{2} = 5 \, \Omega \]

5. Final Answer:
The resistance of the conductor is \(5 \, \Omega\).