Resistor Current and Temperature – Rankers Physics
Topic: Current Electricity
Subtopic: Variation of Resistance with Temperature

Resistor Current and Temperature

Assertion (A): If a resistor is connected to a battery, the current decreases when the temperature increases.
Reason (R): For most of the resistors, resistance increases with increase in temperature.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

For most resistors, resistance \(R\) increases with temperature. When connected to a battery, the voltage \(V\) is constant. According to Ohm's law, \(I = V/R\). As \(R\) increases due to temperature, the current \(I\) must decrease. Thus, both assertion and reason are true, and the reason correctly explains the assertion.

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