If two different resistors are connected in series, then which of the following statements is CORRECT regarding the electrical power consumed by the resistors?
The resistor offering larger resistance will consume more electrical power.
The power consumed by each resistor will be the same.
The resistor offering smaller resistance will consume more power.
The power consumed by each resistor cannot be determined unless the current flowing through each resistor is given.
Detailed Explanation
If two resistors are connected in series then the current flowing through each resistor is the same because the current remains the same in a series. The formula for finding electrical power is P=VI. From ohms' law, we know that V=IR => I=V/R. Putting the value of I in the formula of electrical power will give \(P=R I^2 \). As current is the same through both resistors then electrical power is directly proportional to the resistance i.e. the bigger the resistance the higher will be the power consumed and vice versa.
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