The coil was shortened by 0.1 of its original length when repairing the electric tile.
| September 7, 2021 | education
The coil was shortened by 0.1 of its original length when repairing the electric tile. How many times has the resistance of a tile changed?
Problem data: Δl (change in the length of the spiral) = 0.1l1.
To determine the change in resistance of the tiles used, we use the proportion: k = R1 / R2 = (ρ * l1 / S) / (ρ * l2 / S) = l1 / l2 = l1 / (l1 – Δl).
Calculation: k = l1 / (l1 – 0.1l1) = l1 / 0.9l1 = 1 / 0.9 = 1.11 (1) times.
Answer: The resistance of the tiles used has decreased by 1.11 (1) times.
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