A certain electric furnace consumes 24 kW when it is connected to a 240-V line.What is the resistance of the furnace?
A) 1.0 kΩ
B) 10 Ω
C) 2.4 Ω
D) 0.42 Ω
E) 100 Ω

Question

Quizplus · Accepted Answer

First, we can use the formula for calculating power:

P = V^2/R

where P is power in Watts, V is voltage in Volts, and R is resistance in Ohms.

We know that P = 24 kW and V = 240 V. Converting kW to W:

P = 24,000 W

Plugging in these values:

24,000 = 240^2/R

Simplifying:

R = 240^2/24,000 = 2,400/24 = 100 Ω

Therefore, the answer is C.

A Certain Electric Furnace Consumes 24 KW When It Is