How will the amount of heat released by the electric tile change per unit of time if the spiral

How will the amount of heat released by the electric tile change per unit of time if the spiral of the tile was reduced by 2 times after repair?

According to the Joule-Lenz law, the amount of heat that will be released on the wire spiral:
Q = I ^ 2 * R * t, where I is the current strength, R is the resistance of the spiral (R = ρ * l / S, ρ is the resistivity of the spiral, l is the length of the spiral, S is the cross-sectional area of the spiral), t is time of passage of current.
Before renovation:
Q1 = I ^ 2 * R1 * t, R1 = ρ * l1 / S.
After renovation:
Q2 = I ^ 2 * R2 * t, R2 = ρ * l2 / S.
l2 = 0.5l1.
Q2 / Q1 = (I ^ 2 * (ρ * l2 / S) * t) / (I ^ 2 * (ρ * l1 / S) * t)) = l2 / l1 = 0.5l1 / l1 = 0.5 …
Answer: The amount of heat will decrease by 2 times.



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