Q. 2

A constant current i is passed through a resistor. Taking the temperature coefficient of resistance into account, indicate which of the plots shown in figure base represents the rate of production of thermal energy in the resistor.



Answer :

When current passes through a resistor, the heat produced by Joule’s heating effect is given by-




where,


I = current


R = resistance of the resistor


t = time for which current is flowing


Since with increase in the temperature of the resistor, its


resistance is also increased.


The rate of production of thermal energy in the resistor will be-



where


i = current flowing through the resistor and


R = resistance of the resistor


From above equation, the rate of production of thermal energy in


the resistor is directly proportional to the resistance.


Since, due to the heat generated by the resistance the operating temperature of the resistance increases given by the formula below:


R=Ro(1+αT)


Where


Ro is the initial resistance of the resistor


α is the coefficient of thermal conductivity


T is the temperature


Thus, the resistance of the resistor start increasing with the increase in temperature.


From the graph,


also increases linearly with time starting from a point , which is best shown by plot d.


Thus, option D is the correct option.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Electric Charges and Fields - 05Electric Charges and Fields - 05Electric Charges and Fields - 0556 mins
Check your knowledge of Electric Potential | QuizCheck your knowledge of Electric Potential | QuizCheck your knowledge of Electric Potential | Quiz45 mins
Electric Charges and Fields - 08Electric Charges and Fields - 08Electric Charges and Fields - 0854 mins
Electric Charges and Fields - 02Electric Charges and Fields - 02Electric Charges and Fields - 0256 mins
Electric Charges and Fields - 10Electric Charges and Fields - 10Electric Charges and Fields - 1055 mins
Electric Charges and Fields - 03Electric Charges and Fields - 03Electric Charges and Fields - 0352 mins
Electric Charges and Fields - 01Electric Charges and Fields - 01Electric Charges and Fields - 0155 mins
Electric Charges and Fields - 09Electric Charges and Fields - 09Electric Charges and Fields - 0946 mins
Drift Velocity & Thermal VelocityDrift Velocity & Thermal VelocityDrift Velocity & Thermal Velocity34 mins
Relation between electric field and potentialRelation between electric field and potentialRelation between electric field and potential34 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :