An 10.0-Ω resistor is dissipating 100 watts.What are the current through it and the difference of potential across it?
A) 31.6 A,3.16 V
B) 10.0 A,3.16 V
C) 3.16 A,31.6 V
D) 3.16 A,10.0 V

Question

Quizplus · Accepted Answer

We can use the formula P = I^2 R and P=V^2/R to solve for the current and voltage.

From P=I^2R:
100 = I^2(10)
I = sqrt(10) = 3.16 A

From P=V^2/R:
100 = V^2/10
V = sqrt(100*10) = 31.6 V

Therefore, the current through the resistor is 3.16 A and the difference of potential across it is 31.6 V, which corresponds to choice C.

An 100-Ω Resistor Is Dissipating 100 Watts