Question

choose the correct answer.
if you wanted to increase the resistance in a circuit, what should you do?
cool the wire
replace a thin wire with a wide wire
increase the length of the wire

Explanation:

Step1: Analyze the effect of temperature on resistance

For most materials, resistance decreases with cooling. So cooling the wire will not increase resistance.

Step2: Analyze the effect of cross - sectional area on resistance

The resistance formula is \(R =
ho\frac{l}{A}\) (where \(R\) is resistance, \(
ho\) is resistivity, \(l\) is length, and \(A\) is cross - sectional area). Replacing a thin wire (small \(A\)) with a wide wire (large \(A\)) will decrease resistance.

Step3: Analyze the effect of length on resistance

Using the formula \(R=
ho\frac{l}{A}\), increasing the length \(l\) of the wire (while keeping \(
ho\) and \(A\) constant) will increase the resistance.

Answer:

increase the length of the wire