Question

Suppose that the voltage is reduced by 10 percent (to 90 V). By what percentage is the power reduced

Answer 1

percent decrease in power = 20 % .

Step-by-step explanation:

Power P = v² / R where v is voltage and R is resistance which is constant .

taking log on both sides

log P = 2 log v - log R

differentiating on both sides

dP/P = 2 dv/v

-dP/P x 100 = 2 x -dv/v x 100

percent decrease in power = 2 x percent decrease in v ( voltage )

percent decrease in power = 2 x 10 = 20 %