If the temperature of a resistance wire is gradually increased, its resistance will

a

decrease gradually

b

first increase and then decrease

c

first increase and then remain the same

d

increase gradually

e

remain the same

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Explanation

Correct Option
d

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Discussions (4)

AyanfeOba.Dudu
1 year ago

The correct answer is:

D. Increase gradually

Explanation:
For a metallic resistance wire, as temperature increases, the resistance also increases gradually. This happens because:

Higher temperatures cause more vigorous vibrations of metal atoms, which increase collisions with free electrons.

Increased collisions hinder electron flow, increasing resistance.

This behavior is described by the formula:

š‘…
š‘‡
=
š‘…
0
(
1
+
š›¼
š‘‡
)
R
T
​
=R
0
​
(1+αT)
where:

š‘…
š‘‡
R
T
​
= Resistance at temperature
š‘‡
T

š‘…
0
R
0
​
= Resistance at reference temperature

š›¼
α = Temperature coefficient of resistance (positive for metals)

š‘‡
T = Change in temperature

Since most metals have a positive temperature coefficient of resistance, their resistance increases with temperature.

Ighofimonikome
11 months ago

The answer should "D - resistance increase gradually"
As the temperature of a metallic wire increases, its resistance generally increases as well, but it doesn't stop increasing at a specific point except the temperature stop increasing. The resistance will continue to increase with temperature, though the rate of increase may change.

Olamanny07
1 year ago

The corect answer is increase gradually

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