Question

A blow-dryer and a vacuum cleaner each operate with a voltage of 120 V. The current rating of the blow-dryer is 10 A, and that of the vacuum cleaner is 4.0 A.
(a) Determine the power consumed by the blow-dryer.
______ W
(b) Determine the power consumed by the vacuum cleaner.______W(c) Determine the ratio of the energy used by the blow-dryer in 11 minutes to the energy used by the vacuum cleaner in one-half hour.Ebd / Evc = _____

Answer 1

Answer:

Part a)

P = 1200 Watt

Part b)

P = 480 W

Part c)

$\frac{E_{bd}}{E_{vc}} = 5 : 2$

Explanation:

Part a)

Power consumed by blow dryer is given as

$P = iV$

here supply voltage is given as

$V = 120 volts$

current rating of blow dryer is given as

$i = 10 A$

$P = (120 V)(10 A)$

$P = 1200 W$

Part b)

Power consumed by vacuum cleaner is given as

$P = iV$

here supply voltage is given as

$V = 120 volts$

current rating of vacuum cleaner is given as

$i = 4 A$

$P = (120 V)(4 A)$

$P = 480 W$

Part c)

Energy consumed in a given interval of time is given as

$Energy = power \times time$

now we have to find the ratio of energy consumed in time interval of 11 minutes

so we have

$\frac{E_{bd}}{E_{vc}} = \frac{P_{bd} t}{P_{vc} t}$

now we have

$\frac{E_{bd}}{E_{vc}} = \frac{1200 W\times 11 min}{480 W \times 11 min}$

$\frac{E_{bd}}{E_{vc}} = 5 : 2$