Resistors of values 10 Ω,14 Ω,and 23 Ω are connected in series across a battery with a small internal resistance.Which resistor dissipates the greatest power?
A)the 10-Ω resistor
B)the 14-Ω resistor
C)the 23-Ω resistor
D)The answer depends on the internal resistance of the battery.

Question

Quizplus · Accepted Answer

When resistors are connected in series, the current through each resistor is the same. Therefore, the power dissipated by each resistor is given by P=I²R, where I is the current and R is the resistance of the resistor. Since power is proportional to resistance squared, the resistor with the highest resistance (23 Ω) will dissipate the most power.

Resistors of Values 10 Ω,14 Ω,And 23 Ω Are Connected