Question

which is true of high resistance wires? the thicker the wire, the more resistance it has. the thinner the wire, the more resistance it has. the shorter the wire, the more resistance it has.

Explanation:

Step1: Recall the resistance formula

The resistance formula is \(R =
ho\frac{l}{A}\), where \(R\) is resistance, \(
ho\) is resistivity (a property of the material), \(l\) is the length of the wire, and \(A\) is the cross - sectional area of the wire.

Step2: Analyze the effect of thickness (cross - sectional area)

Since \(A=\pi r^{2}\) (for a circular cross - section), a thicker wire has a larger \(A\). From \(R =
ho\frac{l}{A}\), when \(A\) increases (thicker wire), \(R\) decreases. A thinner wire has a smaller \(A\), and when \(A\) decreases, \(R\) increases.

Step3: Analyze the effect of length

From \(R =
ho\frac{l}{A}\), when \(l\) (length) decreases (shorter wire), \(R\) decreases.

Answer:

The thinner the wire, the more resistance it has.