Question

The resistance, R, to electricity of a cylindrical-shaped wire is given by the equation , where p represents the resistivity of the wire’s material, L represents the length of the wire, and d represents the diameter of the wire. What happens to the resistance of the wire as the diameter approaches 0?

Answer 1

Answer:

infinity

Explanation:

Given that

Resistance = R

Resistivity = ρ

Length = L

Diameter = d

The resistance of wire R given as

$R=\rho\dfrac{L}{A}$

A=Area

$A=\dfrac{\pi d^2}{4}$

Now by putting the value of A

$R=\rho\dfrac{L}{\dfrac{\pi d^2}{4}}$

$R=\rho\dfrac{4L}{\pi d^2}$

When d tends to infinity then d² will also tends to infinity.

So when d tends to zero then the resistance tends to infinity.

Therefore answer is ---

infinity

Answer 2

Answer:

d

Explanation: