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Question: A resistor \(R_{1}\) dissipates the power P when connected to a certain generator. If the resistor \...

A resistor R1R_{1} dissipates the power P when connected to a certain generator. If the resistor R2R_{2} is put in series with R1R_{1}, the power dissipated by R1R_{1}

A

Decreases

B

Increases

C

Remains the same

D

Any of the above depending upon the relative values of R1R_{1} and R2R_{2}

Answer

Decreases

Explanation

Solution

Equivalent resistance in the second case =R1+R2=R= R_{1} + R_{2} = R Now, we know that P1RP \propto \frac{1}{R}

Since in the second case the resistance (R1+R2)(R_{1} + R_{2}) is higher than that in the first case (R1). Therefore power dissipation in the second case will be decreased.