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Ksju [112]
3 years ago
8

Two different electrical devices have the same power consumption, but one is meant to be operated on 120-V AC and the other on 2

40-V AC. What is the ratio of the resistance of 240V device to the resistance of the 120V device i.e. \frac{R_{240}}{R_{120}} ​R ​120 ​​ ​ ​R ​240 ​​ ​​ ?
Physics
1 answer:
kupik [55]3 years ago
8 0

Answer:4

Explanation:

For same Power one device is operated at V_1=120 V and another at V_2=240\ V

Suppose R_1 and R_2 is the resistance of first and second device respectively

using P=\frac{V^}{R}

For first device

P=\frac{(120)^2}{R_1}

R_1=\frac{120^2}{P}

For second Device

R_2=\frac{240^}{P}

Ratio of resistances are

\frac{R_2}{R_1}=\frac{240^2}{120^2}

\frac{R_2}{R_1}=(2)^2

\frac{R_2}{R_1}=4

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