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The heating element of a hair dryer dissipates 1500 w when connected to a 180 v outlet. part a what is its resistance?

Sagot :

The resistance of the heating element is 21.61 Ω

Given

The power dissipated = 1500 W

Voltage = 180 V

We know that

Power = Voltage * Current

Power / Voltage = Current

⇒ 1500 W/180 V = Current

⇒ 8.33 A = Current

In order to calculate the resistance of the heating element. We Have to apply the formula

Power = (Current)^2 * Resistance

Resistance = Power / (Current)^2

Resistance = 1500 W/ (8.33) ^2

Resistance = 21.61 Ω

Hence the resistance of the heating element is 21.61 Ω

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