Answer:
D.) The resistance approaches infinity.
Step-by-step explanation:
Answer:
Option 4th is correct.
The resistance approaches infinity.
Step-by-step explanation:
The resistance, R, to electricity of a cylindrical-shaped wire is given by the equation:
[tex]R = \frac{p L}{\pi d^2}[/tex] ....[1]
where,
p is the the resistivity of the wire’s material
L is the length of the wire.
d represents the diameter of the wire.
We have to find resistance of the wire as the diameter approaches 0.
As diameter approaches to 0.
⇒[tex]d \rightarrow 0[/tex]
Substitute in [1] we have;
[tex]R = \frac{p L}{\pi 0^2}[/tex]
⇒[tex]R \rightarrow \infty[/tex]
therefore. the resistance approaches infinity as the diameter approaches 0.
