Q. 8

Two resistors R and 2R are connected in series in an electric circuit. The thermal energy developed in R and 2R are in the ratio
A. 1:2 B. 2:1

C. 1:4 D. 4:1

Answer :

Two resistors are connected in series. In series, the current flows through both the resistors is same.

Formula used:


Energy is given by the formula


Energy dissipated,


Where


I is the current


R is the resistance


T is the time period


Energy developed in the resistor R is


Energy developed in the resistor 2R is


The ratio of energy developed in R and 2R is =



When two resistors R and 2R are connected in series then the ratio of thermal energy developed is 1:2.


Conclusion : Two resistors R and 2R are connected in series, the thermal energy developed in R and 2R are in the ratio 1:2 respectively. So option A is correct.

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