Resistors of values 5 Ω,17 Ω,and 24 Ω are connected in series across a battery with a small internal resistance.Which resistor dissipates the greatest power?
A) the 5-Ω resistor
B) the 17-Ω resistor
C) the 24-Ω resistor
D) The answer depends on the internal resistance of the battery.

Question

Quizplus · Accepted Answer

In a series circuit, the resistor with the highest value will dissipate the most power. The power dissipated in a resistor is given by P = (V^2)/R, where V is the voltage across the resistor and R is its resistance. Since the voltage across each resistor in a series circuit is the same, the resistor with the highest resistance will dissipate the most power. Therefore, the 24-Ω resistor will dissipate the greatest power in this circuit.

Resistors of Values 5 Ω,17 Ω,And 24 Ω Are Connected