Given:
The potential difference across the ends of a wire is doubled in magnitude
To find:
which one of the following statements concerning the resistance of the wire is true
Explanation:
The potential difference is doubled in magnitude. We know, according to Ohm's law,
[tex]V=IR[/tex]I is the current and R is the resistance.
If the potential difference increases, the product of I and R also increases.
Now the resistance depends as,
[tex]\begin{gathered} R=\frac{\rho l}{A} \\ \rho\text{ is the resistivity, l is the length and A is the area of the conductor.} \end{gathered}[/tex]The resistance is independent of potential differences. When the potential difference increases, the current also increases and the resistance remains the same.
Hence, The resistance is not changed.
