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Answered question

2021-02-13

The formula

V = \sqrt{P R}

relates the voltage V (in volts), power P (in watts), and resistance R (in ohms) of an electrical circuit. The hair dryer shown is on a 120-volt circuit. Is the resistance of the hair dryer half as much as the resistance of the same hair dryer on a 240-volt circuit? Explain your reasoning.

Answer & Explanation

BleabyinfibiaG

Skilled2021-02-14Added 118 answers

Given information:

V = \sqrt{P R}, V_{1} = 120 and P = 1875

V_{2} = 240

Formula Used: Simplify. Calculation:

V = \sqrt{P R}

AS V_{1} = 120 and P = 1875

So,

120 = \sqrt{1875 \times R_{1}}

Now, squaring both sides

14400 = 1875 \times R_{1}

So,

R_{1} = \frac{14400}{1875}

Hence,

R_{1} = 7.68

V_{2} = 240 and P = 1875

So,

240 = \sqrt{1875 \times R_{2}}

Now, squaring both sides

57600 = 1875 \times R_{2}

So,

R_{2} = \frac{57600}{1875}

Hence,

R_{2} = 30.72 = 4 R_{1}

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