Question

Co-efficient of temperature for two wires are
(a) and (-3a). Now both the wires are
connected in series, if the resistance of their
series combination does not depends on
temp, then calculate the ratio of their
resistances at 0°C:-
​

Answer 1

Answer: 1 : 3

Explanation:

• Resistance of a wire is directly proportional to the temperature of the conductor.
• Which means that if the temperature increases then the resistance also increases.
• Given, co-efficient of temperature are a and (-3a).
• If the resistors are connected in series and become temperature independent then the resistance of the wires will be a and 3a.
• Ratio of their resistances=$\frac{1}{3}$.
• Hence, the required resistances is 1:3.

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Answer 2

Answer:

Hence, the required resistances is 1:3.

Explanation:

Resistance of a wire is directly proportional to the temperature of the conductor it means that if the temperature increases then the resistance also increases.

Given,

co-efficient of temperature are (a )and (-3a).

If the resistors are connected in series and become temperature independent then the resistance of the wires will be a and 3a.

Ratio of their resistances=

$= \frac{1}{3}$

Hence, the required resistances is 1:3.

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