2. An electric space heater has a power rating of 500 W when connected to a give

Question

2. An electric space heater has a power rating of 500 W when connected to a given voltage V. _______ If two of the heaters are connected in series, is the power consumed by the two:

A) Greater than 1000 W

B) Less than 1000 W

C) Equal to 1000 W _______ Choose the best explanation from the following:

I. Each heater consumes 500 W; therefore two of them will consume 500 W + 500 W = 1000 W

II. The voltage is the same, but the resistance is doubled by connecting the heaters in series. Therefore, the power consumed ( /) 2 P V R is less than 1000 W

III. Connecting the two heaters in series doubles the resistance. Since power depends on the resistance squared, it follows that the power consumed is greater than 1000 W

Explanation / Answer

given,

power = 500 W

power = V^2/R

500 = V^2/R

R = V^2 / 500

if two heater will be connected in series then

Rnet = R + R

Rnet = 2 * V^2/500

new power = V^2 / (2 * V^2/500)

new power = 500 / 2

new power = 250 W

so, C) Less than 1000 W

he voltage is the same, but the resistance is doubled by connecting the heaters in series. Therefore, the power consumed ( /) 2 P V R is less than 1000 W

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