Answer:
New Resistance = 247.5 ohm
Explanation:
Resistance = resistivity * length / area
Since resistivity for the material is constant, resistance is directly proportional to (length/area).
This means that if (length/area) decreases or increases by any ratio, then resistance will increase or decrease by the same ratio.
So let's find the change in length/area
New length = 0.25 old length
New area = (1/9) old area (This is because area equation contains a square of the diameter. if diameter decreases by 1/3, area decreases by (1/3)^2 )
So we now get length /area:
New length / new area = ( 0.25 old length) / (1/9 of old area)
New length / new area = 9*0.25 (old length / old area)
New length / new area = 2.25 (old length / old area)
To get the new resistance, we simply multiply it by the ratio we just found.
This equals:
110 * 2.25 = 247.5 ohm
