If necessary, use any of the above information to solve the following problem. C

Question

If necessary, use any of the above information to solve the following problem.

Conceptual Question: Assume that you have two unknown resistors. You connect the first resistor to a power supply and measure the power dissipated by it to be 10 W. You then connect the second resistor to the power supply (separately) and measure the power dissipated by it to be 15 W. Which resistor has a larger resistance? Please provide a detailed explanation of your answer.

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Explanation / Answer

Suppose Voltage of supply is V. then

for first resistor :

Power = V^2 / R

10 = V^2 / R1

R1 = V^2 / 10

for second resistor:

R2 = V^2 /15

hence R1 > R2

first resistor has larger resistance than second.

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