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A typical electric hair dryer designed to operate on a 120-V AC household circuit is rated at a power consumption of 1500 watts. For calculating effective average values, we can treat 120-V AC as a DC current. a. What average current flows through the dryer? b. What is the resistance of the dryer?

Respuesta :

Answer:

(a). The average current flows through the dryer is 12.5 A

(b). The resistance of the dryer is 9.6 Ω

Explanation:

Given that,

Voltage = 120 V

Power = 1500 W

(a). We need to calculate the average current flows through the dryer

Using formula of current

[tex]P = IV[/tex]

[tex]I=\dfrac{P}{V}[/tex]

Where, P = power

V = voltage

Put the value into the formula

[tex]I=\dfrac{1500}{120}[/tex]

[tex]I=12.5\ A[/tex]

(b). We need to calculate the resistance of the dryer

Using Ohm's law

[tex]V = IR[/tex]

[tex]R=\dfrac{V}{I}[/tex]

Where, I = current

Put the value into the formula

[tex]R=\dfrac{120}{12.5}[/tex]

[tex]R=9.6\ \Omega[/tex]

Hence, (a). The average current flows through the dryer is 12.5 A

(b). The resistance of the dryer is 9.6 Ω

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